Make lift and lower transparent

The reason to make them opaque was purely for typeclasses.  They will
need to be transparent when we move to trunk-polyproj, to get an
alternate version of Funext_downward_closed to work correctly.
Give a better error message on a tactic
Merge pull request #386 from JasonGross/transparent-lift-lower

Make lift and lower transparent
Add an instance about [idtoiso] and [components_of]
Add some typeclass resolution hints for apply being stupid

[apply] doesn't know that, e.g., the identity functor applied to x is
x, nor vice-versa.  And because it infers arguments in the "wrong"
order, it errors before it has a chance to pick up that information.
So we need to help it along a little.
Fix timing files to deal with negative times
Add some lemmas and tactics for removing isos

This is the main tactic used to prove that lax comma categories are
precategories.  Unfortunately, it's sometimes rather slow.  It could
probably benefit from reflective automation.

This closes #383
Vastly simplify the helper-tactics in Category/Morphisms.v

We don't actually need all of those; I was being stupid with
associativity.
Add some helper lemmas about [commutes]
Split out InitialTerminalCategory.v into multiple files

This way, we can add pseudofunctors without making the
initial/terminal categories depend on them.
Add pseudofunctors from initial/terminal categories

These will be useful for lax slice categories
Define the identity pseudofunctor

I'm not sure why it's so slow.  Maybe typeclass resolution on
[Reflexive]?

After    | File Name                                                          | Before   || Change
-----------------------------------------------------------------------------------------------------
9m46.05s | Total                                                              | 9m32.56s || +0m13.49s
-----------------------------------------------------------------------------------------------------
0m13.24s | categories/Pseudofunctor/Identity                                  |   N/A    || +0m13.24s
1m47.71s | categories/Comma/ProjectionFunctors                                | 1m48.81s || -0m01.09s
0m26.52s | categories/Grothendieck/PseudofunctorToCat                         | 0m25.30s || +0m01.21s
0m22.86s | categories/Adjoint/HomCoercions                                    | 0m20.94s || +0m01.91s
0m16.69s | categories/Adjoint/UnitCounitCoercions                             | 0m15.60s || +0m01.09s
0m15.43s | categories/PseudonaturalTransformation/Core                        | 0m14.18s || +0m01.25s
0m15.31s | categories/Comma/InducedFunctors                                   | 0m16.89s || -0m01.58s
0m32.82s | categories/Adjoint/Composition/AssociativityLaw                    | 0m33.05s || -0m00.22s
0m16.78s | categories/ExponentialLaws/Law4/Functors                           | 0m16.88s || -0m00.09s
0m15.28s | categories/FunctorCategory/Dual                                    | 0m15.74s || -0m00.46s
0m12.92s | categories/Functor/Pointwise/Properties                            | 0m12.05s || +0m00.86s
0m12.72s | hit/Flattening                                                     | 0m12.94s || -0m00.21s
0m12.14s | categories/Pseudofunctor/Core                                      | 0m11.96s || +0m00.17s
0m12.04s | categories/Adjoint/Composition/Core                                | 0m12.80s || -0m00.76s
0m11.45s | categories/Adjoint/Dual                                            | 0m12.40s || -0m00.95s
0m11.08s | categories/Adjoint/Composition/IdentityLaws                        | 0m10.38s || +0m00.69s
0m10.78s | categories/Pseudofunctor/FromFunctor                               | 0m11.07s || -0m00.29s
0m09.03s | categories/Yoneda                                                  | 0m08.56s || +0m00.46s
0m08.55s | categories/ExponentialLaws/Law1/Law                                | 0m08.65s || -0m00.09s
0m08.17s | categories/Functor/Prod/Universal                                  | 0m08.17s || +0m00.00s
0m07.58s | categories/GroupoidCategory/Morphisms                              | 0m08.05s || -0m00.47s
0m07.48s | categories/UniversalProperties                                     | 0m06.92s || +0m00.56s
0m07.08s | categories/Comma/Dual                                              | 0m06.14s || +0m00.94s
0m06.84s | hit/Connectedness                                                  | 0m07.50s || -0m00.66s
0m06.61s | categories/Structure/IdentityPrinciple                             | 0m06.82s || -0m00.20s
0m06.42s | categories/Adjoint/Paths                                           | 0m06.66s || -0m00.24s
0m05.80s | categories/Category/Morphisms                                      | 0m05.55s || +0m00.25s
0m05.78s | categories/Adjoint/UnitCounit                                      | 0m06.27s || -0m00.48s
0m05.68s | categories/Functor/Paths                                           | 0m05.90s || -0m00.22s
0m05.57s | categories/Functor/Sum                                             | 0m05.54s || +0m00.03s
0m05.32s | categories/DualFunctor                                             | 0m05.02s || +0m00.30s
0m05.20s | EquivalenceVarieties                                               | 0m05.09s || +0m00.11s
0m04.70s | categories/ExponentialLaws/Law2/Functors                           | 0m04.90s || -0m00.20s
0m04.43s | categories/Category/Sigma/OnMorphisms                              | 0m04.58s || -0m00.15s
0m03.74s | categories/ProductLaws                                             | 0m03.78s || -0m00.03s
0m03.54s | categories/Structure/Core                                          | 0m03.56s || -0m00.02s
0m03.42s | types/ObjectClassifier                                             | 0m03.42s || +0m00.00s
0m02.99s | types/Sigma                                                        | 0m02.97s || +0m00.02s
0m02.91s | categories/Adjoint/UniversalMorphisms                              | 0m02.90s || +0m00.01s
0m02.90s | categories/Functor/Composition/Functorial/Attributes               | 0m03.07s || -0m00.16s
0m02.85s | HSet                                                               | 0m02.84s || +0m00.01s
0m02.72s | categories/Functor/Prod/Functorial                                 | 0m02.95s || -0m00.23s
0m02.72s | categories/FunctorCategory/Functorial                              | 0m02.75s || -0m00.02s
0m02.70s | HProp                                                              | 0m02.75s || -0m00.04s
0m02.63s | categories/Grothendieck/ToSet                                      | 0m02.64s || -0m00.01s
0m02.48s | Equivalences                                                       | 0m02.56s || -0m00.08s
0m02.29s | categories/Functor/Attributes                                      | 0m02.29s || +0m00.00s
0m02.25s | categories/Category/Sigma/Core                                     | 0m02.03s || +0m00.22s
0m02.22s | categories/Comma/Core                                              | 0m01.98s || +0m00.24s
0m02.18s | categories/NaturalTransformation/Isomorphisms                      | 0m02.07s || +0m00.11s
0m02.11s | categories/Category/Sum                                            | 0m02.35s || -0m00.24s
0m02.07s | types/Record                                                       | 0m02.02s || +0m00.04s
0m01.91s | PathGroupoids                                                      | 0m01.90s || +0m00.01s
0m01.88s | categories/NaturalTransformation/Dual                              | 0m01.86s || +0m00.01s
0m01.80s | categories/FunctorCategory/Morphisms                               | 0m01.75s || +0m00.05s
0m01.76s | categories/NaturalTransformation/Paths                             | 0m01.75s || +0m00.01s
0m01.75s | categories/HomFunctor                                              | 0m01.75s || +0m00.00s
0m01.31s | categories/Category/Sigma/OnObjects                                | 0m01.24s || +0m00.07s
0m01.29s | categories/Category/Prod                                           | 0m01.29s || +0m00.00s
0m01.28s | categories/InitialTerminalCategory/Pseudofunctors                  | 0m01.41s || -0m00.12s
0m01.23s | types/Prod                                                         | 0m01.31s || -0m00.08s
0m01.18s | categories/Limits/Core                                             | 0m01.14s || +0m00.04s
0m01.17s | categories/NaturalTransformation/Pointwise                         | 0m01.33s || -0m00.16s
0m01.15s | categories/NaturalTransformation/Composition/Laws                  | 0m01.13s || +0m00.02s
0m01.15s | categories/ExponentialLaws/Law1/Functors                           | 0m01.09s || +0m00.05s
0m01.06s | categories/Functor/Pointwise                                       | 0m01.10s || -0m00.04s
0m01.05s | categories/Functor/Composition/Functorial/Core                     | 0m01.21s || -0m00.15s
0m01.03s | categories/ExponentialLaws/Law  N/A                                | 0m01.10s || -0m00.07s
0m01.00s | categories/CategoryOfSections/Core                                 | 0m00.98s || +0m00.02s
0m00.96s | categories/Functor/Prod                                            | 0m00.86s || +0m00.09s
0m00.93s | contrib/HoTTBookExercises                                          | 0m00.92s || +0m00.01s
0m00.90s | hit/epi                                                            | 0m00.93s || -0m00.03s
0m00.88s | categories/NaturalTransformation/Prod                              | 0m00.89s || -0m00.01s
0m00.88s | types/Paths                                                        | 0m00.88s || +0m00.00s
0m00.88s | hit/Spheres                                                        | 0m01.12s || -0m00.24s
0m00.81s | categories/SetCategory/Morphisms                                   | 0m00.82s || -0m00.00s
0m00.79s | contrib/HoTTBook                                                   | 0m00.74s || +0m00.05s
0m00.67s | categories/categories                                              | 0m00.60s || +0m00.07s
0m00.64s | Trunc                                                              | 0m00.60s || +0m00.04s
0m00.63s | types/Sum                                                          | 0m00.62s || +0m00.01s
0m00.63s | types/Universe                                                     | 0m00.67s || -0m00.04s
0m00.62s | UnivalenceImpliesFunext                                            | 0m00.63s || -0m00.01s
0m00.62s | categories/NaturalTransformation/Composition/Core                  | 0m00.65s || -0m00.03s
0m00.61s | Functorish                                                         | 0m00.64s || -0m00.03s
0m00.58s | hit/Suspension                                                     | 0m00.71s || -0m00.13s
0m00.56s | categories/Comma/Projection                                        | 0m00.55s || +0m00.01s
0m00.55s | hit/quotient                                                       | 0m00.54s || +0m00.01s
0m00.52s | categories/Limits/Functors                                         | 0m00.54s || -0m00.02s
0m00.52s | categories/NaturalTransformation/Sum                               | 0m00.55s || -0m00.03s
0m00.51s | categories/Functor/Composition/Laws                                | 0m00.54s || -0m00.03s
0m00.50s | categories/ExponentialLaws/Law3/Functors                           | 0m00.46s || +0m00.03s
0m00.48s | hit/Circle                                                         | 0m00.49s || -0m00.01s
0m00.46s | categories/KanExtensions/Functors                                  | 0m00.52s || -0m00.06s
0m00.44s | categories/FundamentalPreGroupoidCategory                          | 0m00.34s || +0m00.09s
0m00.44s | categories/InitialTerminalCategory/Functors                        | 0m00.44s || +0m00.00s
0m00.44s | types/Forall                                                       | 0m00.45s || -0m00.01s
0m00.42s | Tactics                                                            | 0m00.40s || +0m00.01s
0m00.41s | categories/Cat/Core                                                | 0m00.38s || +0m00.02s
0m00.40s | categories/NaturalTransformation/Identity                          | 0m00.44s || -0m00.03s
0m00.36s | categories/HomotopyPreCategory                                     | 0m00.40s || -0m00.04s
0m00.36s | Fibrations                                                         | 0m00.34s || +0m00.01s
0m00.35s | TruncType                                                          | 0m00.32s || +0m00.02s
0m00.34s | categories/InitialTerminalCategory/NaturalTransformations          | 0m00.40s || -0m00.06s
0m00.33s | categories/Functor/Dual                                            | 0m00.31s || +0m00.02s
0m00.33s | categories/Functor/Functor                                         | 0m00.31s || +0m00.02s
0m00.32s | categories/IndiscreteCategory                                      | 0m00.31s || +0m00.01s
0m00.32s | categories/NaturalTransformation/Composition/Functorial            | 0m00.26s || +0m00.06s
0m00.31s | categories/KanExtensions/Core                                      | 0m00.31s || +0m00.00s
0m00.29s | categories/Adjoint/Adjoint                                         | 0m00.22s || +0m00.06s
0m00.28s | categories/Utf8                                                    | 0m00.28s || +0m00.00s
0m00.28s | categories/Cat/Morphisms                                           | 0m00.31s || -0m00.02s
0m00.28s | categories/Grothendieck/Grothendieck                               | 0m00.31s || -0m00.02s
0m00.26s | categories/ExponentialLaws/ExponentialLaws                         | 0m00.27s || -0m00.01s
0m00.26s | hit/minus1Trunc                                                    | 0m00.29s || -0m00.02s
0m00.26s | types/Arrow                                                        | 0m00.30s || -0m00.03s
0m00.25s | categories/SetCategory/Functors/Functors                           | 0m00.21s || +0m00.04s
0m00.24s | categories/Category/Objects                                        | 0m00.24s || +0m00.00s
0m00.24s | categories/Functor/Composition/Core                                | 0m00.23s || +0m00.00s
0m00.24s | categories/Notations                                               | 0m00.27s || -0m00.03s
0m00.23s | categories/NaturalTransformation/NaturalTransformation             | 0m00.22s || +0m00.01s
0m00.23s | categories/Adjoint/Hom                                             | 0m00.31s || -0m00.07s
0m00.22s | categories/Limits/Limits                                           | 0m00.21s || +0m00.01s
0m00.22s | categories/Grothendieck/ToCat                                      | 0m00.20s || +0m00.01s
0m00.21s | categories/Functor/Composition/Functorial                          | 0m00.24s || -0m00.03s
0m00.21s | categories/Functor/Utf8                                            | 0m00.20s || +0m00.00s
0m00.21s | categories/FunctorCategory/Core                                    | 0m00.16s || +0m00.04s
0m00.20s | categories/DependentProduct                                        | 0m00.23s || -0m00.03s
0m00.20s | categories/KanExtensions/KanExtensions                             | 0m00.18s || +0m00.02s
0m00.20s | categories/Functor/Notations                                       | 0m00.18s || +0m00.02s
0m00.20s | Modality                                                           | 0m00.21s || -0m00.00s
0m00.20s | categories/Comma/Notations                                         | 0m00.14s || +0m00.06s
0m00.20s | categories/PseudonaturalTransformation/PseudonaturalTransformation | 0m00.17s || +0m00.03s
0m00.20s | FunextVarieties                                                    | 0m00.18s || +0m00.02s
0m00.20s | types/Bool                                                         | 0m00.19s || +0m00.01s
0m00.20s | categories/InitialTerminalCategory/InitialTerminalCategory         | 0m00.26s || -0m00.06s
0m00.20s | categories/NaturalTransformation/Utf8                              | 0m00.20s || +0m00.00s
0m00.19s | hit/iso                                                            | 0m00.14s || +0m00.04s
0m00.19s | categories/Functor/Composition/Composition                         | 0m00.20s || -0m00.01s
0m00.19s | categories/Adjoint/Identity                                        | 0m00.17s || +0m00.01s
0m00.19s | categories/Comma/Comma                                             | 0m00.20s || -0m00.01s
0m00.19s | categories/NatCategory                                             | 0m00.19s || +0m00.00s
0m00.18s | categories/FunctorCategory/Utf8                                    | 0m00.22s || -0m00.04s
0m00.18s | categories/Functor/Prod/Prod                                       | 0m00.17s || +0m00.00s
0m00.18s | categories/FunctorCategory/FunctorCategory                         | 0m00.22s || -0m00.04s
0m00.18s | categories/GroupoidCategory/Core                                   | 0m00.16s || +0m00.01s
0m00.18s | categories/ExponentialLaws/Law2/Law2                               | 0m00.14s || +0m00.03s
0m00.18s | Overture                                                           | 0m00.16s || +0m00.01s
0m00.17s | Conjugation                                                        | 0m00.22s || -0m00.04s
0m00.17s | categories/Comma/Utf8                                              | 0m00.18s || -0m00.00s
0m00.17s | categories/ExponentialLaws/Law3/Law3                               | 0m00.17s || +0m00.00s
0m00.17s | categories/Adjoint/Utf8                                            | 0m00.13s || +0m00.04s
0m00.17s | categories/InitialTerminalCategory/Notations                       | 0m00.20s || -0m00.03s
0m00.16s | categories/Cat/Cat                                                 | 0m00.16s || +0m00.00s
0m00.16s | HoTT                                                               | 0m00.18s || -0m00.01s
0m00.16s | categories/NaturalTransformation/Notations                         | 0m00.16s || +0m00.00s
0m00.15s | categories/Category/Dual                                           | 0m00.19s || -0m00.04s
0m00.15s | Misc                                                               | 0m00.12s || +0m00.03s
0m00.15s | categories/Adjoint/Notations                                       | 0m00.16s || -0m00.01s
0m00.15s | categories/Adjoint/Composition/Composition                         | 0m00.16s || -0m00.01s
0m00.15s | Tests                                                              | 0m00.16s || -0m00.01s
0m00.15s | categories/ExponentialLaws/Law1/Law1                               | 0m00.20s || -0m00.05s
0m00.15s | categories/Structure/Utf8                                          | 0m00.07s || +0m00.07s
0m00.15s | categories/Category/Pi                                             | 0m00.15s || +0m00.00s
0m00.14s | categories/Category/Utf8                                           | 0m00.13s || +0m00.01s
0m00.14s | Contractible                                                       | 0m00.09s || +0m00.05s
0m00.14s | hit/Interval                                                       | 0m00.17s || -0m00.03s
0m00.14s | categories/InitialTerminalCategory/Core                            | 0m00.17s || -0m00.03s
0m00.14s | categories/Category/Univalent                                      | 0m00.13s || +0m00.01s
0m00.14s | categories/Profunctor/Profunctor                                   | 0m00.15s || -0m00.00s
0m00.14s | categories/Category/Category                                       | 0m00.18s || -0m00.03s
0m00.14s | categories/NaturalTransformation/Core                              | 0m00.16s || -0m00.01s
0m00.14s | categories/Pseudofunctor/Pseudofunctor                             | 0m00.16s || -0m00.01s
0m00.14s | categories/Category/Core                                           | 0m00.16s || -0m00.01s
0m00.14s | categories/CategoryOfSections/CategoryOfSections                   | 0m00.16s || -0m00.01s
0m00.13s | categories/Structure/Structure                                     | 0m00.11s || +0m00.02s
0m00.13s | coq/Init/Peano                                                     | 0m00.09s || +0m00.04s
0m00.13s | categories/ExponentialLaws/Law4/Law4                               | 0m00.12s || +0m00.01s
0m00.13s | hit/unique_choice                                                  | 0m00.16s || -0m00.03s
0m00.13s | categories/NaturalTransformation/Composition/Composition           | 0m00.15s || -0m00.01s
0m00.13s | types/Unit                                                         | 0m00.11s || +0m00.02s
0m00.12s | categories/Profunctor/Representable                                | 0m00.14s || -0m00.02s
0m00.12s | categories/Profunctor/Core                                         | 0m00.12s || +0m00.00s
0m00.12s | categories/SetCategory/Core                                        | 0m00.16s || -0m00.04s
0m00.12s | hit/TwoSphere                                                      | 0m00.12s || +0m00.00s
0m00.12s | categories/SetCategory/SetCategory                                 | 0m00.11s || +0m00.00s
0m00.12s | categories/Category/Notations                                      | 0m00.12s || +0m00.00s
0m00.12s | categories/Profunctor/Identity                                     | 0m00.14s || -0m00.02s
0m00.12s | UnivalenceAxiom                                                    | 0m00.10s || +0m00.01s
0m00.12s | hit/Truncations                                                    | 0m00.15s || -0m00.03s
0m00.12s | categories/Adjoint/Composition/LawsTactic                          | 0m00.14s || -0m00.02s
0m00.12s | categories/Profunctor/Utf8                                         | 0m00.14s || -0m00.02s
0m00.10s | categories/DiscreteCategory                                        | 0m00.11s || -0m00.00s
0m00.10s | categories/Adjoint/Core                                            | 0m00.13s || -0m00.03s
0m00.10s | categories/Profunctor/Notations                                    | 0m00.13s || -0m00.03s
0m00.10s | categories/Functor/Core                                            | 0m00.12s || -0m00.01s
0m00.10s | categories/Category/Subcategory/Wide                               | 0m00.10s || +0m00.00s
0m00.10s | categories/Structure/Notations                                     | 0m00.11s || -0m00.00s
0m00.10s | types/UniverseLevel                                                | 0m00.08s || +0m00.02s
0m00.10s | categories/Category/Subcategory/Subcategory                        | 0m00.12s || -0m00.01s
0m00.10s | categories/Category/Sigma/Sigma                                    | 0m00.12s || -0m00.01s
0m00.10s | categories/Functor/Pointwise/Pointwise                             | 0m00.14s || -0m00.04s
0m00.09s | categories/GroupoidCategory/GroupoidCategory                       | 0m00.12s || -0m00.03s
0m00.09s | categories/Functor/Identity                                        | 0m00.10s || -0m00.01s
0m00.09s | categories/FunctorCategory/Notations                               | 0m00.10s || -0m00.01s
0m00.08s | categories/Category/Strict                                         | 0m00.07s || +0m00.00s
0m00.08s | categories/Category/Subcategory/Full                               | 0m00.12s || -0m00.03s
0m00.07s | coq/Init/Specif                                                    | 0m00.06s || +0m00.01s
0m00.07s | Pointed                                                            | 0m00.06s || +0m00.01s
0m00.07s | coq/Program/Tactics                                                | 0m00.04s || +0m00.03s
0m00.06s | coq/Init/Datatypes                                                 | 0m00.08s || -0m00.02s
0m00.06s | coq/Init/Logic_Type                                                | 0m00.06s || +0m00.00s
0m00.05s | FunextAxiom                                                        | 0m00.07s || -0m00.02s
0m00.05s | types/Empty                                                        | 0m00.09s || -0m00.03s
0m00.04s | coq/Init/Logic                                                     | 0m00.02s || +0m00.02s
0m00.04s | coq/Init/Prelude                                                   | 0m00.02s || +0m00.02s
0m00.03s | coq/Init/Notations                                                 | 0m00.04s || -0m00.01s
0m00.03s | coq/Init/Tactics                                                   | 0m00.03s || +0m00.00s
0m00.02s | coq/Bool/Bool                                                      | 0m00.04s || -0m00.02s
Make inverse rewrite laws for pseudofunctor

These are slow, but useful for lax comma categories.

Also, split out the rewrite laws into a separate file.

After     | File Name                                                          | Before    || Change
-------------------------------------------------------------------------------------------------------
10m15.50s | Total                                                              | 10m04.16s || +0m11.33s
-------------------------------------------------------------------------------------------------------
0m40.27s  | categories/Pseudofunctor/RewriteLaws                               |    N/A    || +0m40.27s
0m01.84s  | categories/Pseudofunctor/Core                                      | 0m11.89s  || -0m10.05s
0m24.22s  | categories/Grothendieck/PseudofunctorToCat                         | 0m27.60s  || -0m03.38s
0m12.04s  | categories/Adjoint/Composition/Core                                | 0m15.12s  || -0m03.08s
0m14.24s  | categories/PseudonaturalTransformation/Core                        | 0m16.79s  || -0m02.54s
0m12.17s  | categories/Adjoint/Dual                                            | 0m14.83s  || -0m02.66s
0m08.14s  | categories/UniversalProperties                                     | 0m10.46s  || -0m02.32s
0m12.09s  | categories/Pseudofunctor/FromFunctor                               | 0m14.08s  || -0m01.99s
0m08.97s  | categories/Yoneda                                                  | 0m10.18s  || -0m01.20s
0m06.33s  | categories/Adjoint/Paths                                           | 0m08.09s  || -0m01.75s
1m44.99s  | categories/Comma/ProjectionFunctors                                | 1m45.15s  || -0m00.15s
0m33.21s  | categories/Adjoint/Composition/AssociativityLaw                    | 0m32.85s  || +0m00.35s
0m21.73s  | categories/Adjoint/HomCoercions                                    | 0m21.88s  || -0m00.14s
0m17.58s  | categories/ExponentialLaws/Law4/Functors                           | 0m17.58s  || +0m00.00s
0m17.26s  | categories/Adjoint/UnitCounitCoercions                             | 0m16.88s  || +0m00.38s
0m15.90s  | categories/Comma/InducedFunctors                                   | 0m15.94s  || -0m00.03s
0m15.40s  | categories/FunctorCategory/Dual                                    | 0m15.24s  || +0m00.16s
0m13.69s  | categories/Pseudofunctor/Identity                                  | 0m14.38s  || -0m00.69s
0m12.88s  | hit/Flattening                                                     | 0m12.84s  || +0m00.04s
0m12.40s  | categories/Functor/Pointwise/Properties                            | 0m12.64s  || -0m00.24s
0m11.28s  | categories/Adjoint/Composition/IdentityLaws                        | 0m10.97s  || +0m00.30s
0m08.05s  | categories/ExponentialLaws/Law1/Law                                | 0m08.27s  || -0m00.21s
0m07.96s  | categories/Functor/Prod/Universal                                  | 0m08.06s  || -0m00.10s
0m07.80s  | categories/GroupoidCategory/Morphisms                              | 0m08.02s  || -0m00.21s
0m07.77s  | categories/Comma/Dual                                              | 0m07.13s  || +0m00.63s
0m07.38s  | hit/Connectedness                                                  | 0m07.31s  || +0m00.07s
0m06.52s  | categories/Structure/IdentityPrinciple                             | 0m06.18s  || +0m00.33s
0m06.02s  | categories/Functor/Paths                                           | 0m05.87s  || +0m00.14s
0m05.74s  | categories/Category/Morphisms                                      | 0m05.60s  || +0m00.14s
0m05.67s  | categories/Adjoint/UnitCounit                                      | 0m06.14s  || -0m00.46s
0m05.56s  | categories/DualFunctor                                             | 0m06.21s  || -0m00.65s
0m05.36s  | categories/Functor/Sum                                             | 0m05.48s  || -0m00.12s
0m05.33s  | EquivalenceVarieties                                               | 0m05.23s  || +0m00.09s
0m04.76s  | categories/ExponentialLaws/Law2/Functors                           | 0m04.87s  || -0m00.11s
0m04.58s  | categories/Category/Sigma/OnMorphisms                              | 0m04.56s  || +0m00.02s
0m03.69s  | categories/Structure/Core                                          | 0m03.69s  || +0m00.00s
0m03.63s  | categories/ProductLaws                                             | 0m03.54s  || +0m00.08s
0m03.22s  | types/ObjectClassifier                                             | 0m03.36s  || -0m00.13s
0m03.03s  | categories/FunctorCategory/Functorial                              | 0m02.64s  || +0m00.38s
0m03.02s  | categories/Functor/Prod/Functorial                                 | 0m02.72s  || +0m00.29s
0m03.00s  | categories/Adjoint/UniversalMorphisms                              | 0m02.84s  || +0m00.16s
0m02.98s  | types/Sigma                                                        | 0m02.97s  || +0m00.00s
0m02.92s  | HSet                                                               | 0m03.06s  || -0m00.14s
0m02.89s  | categories/Functor/Composition/Functorial/Attributes               | 0m02.81s  || +0m00.08s
0m02.69s  | HProp                                                              | 0m02.71s  || -0m00.02s
0m02.56s  | Equivalences                                                       | 0m02.52s  || +0m00.04s
0m02.48s  | categories/Grothendieck/ToSet                                      | 0m02.45s  || +0m00.02s
0m02.28s  | categories/Functor/Attributes                                      | 0m02.36s  || -0m00.08s
0m02.18s  | categories/Category/Sum                                            | 0m02.38s  || -0m00.19s
0m02.13s  | categories/Comma/Core                                              | 0m02.08s  || +0m00.04s
0m02.10s  | categories/NaturalTransformation/Isomorphisms                      | 0m02.15s  || -0m00.04s
0m02.04s  | PathGroupoids                                                      | 0m01.89s  || +0m00.15s
0m02.02s  | categories/Category/Sigma/Core                                     | 0m02.14s  || -0m00.12s
0m01.96s  | types/Record                                                       | 0m02.05s  || -0m00.08s
0m01.94s  | categories/NaturalTransformation/Dual                              | 0m01.90s  || +0m00.04s
0m01.93s  | categories/HomFunctor                                              | 0m01.93s  || +0m00.00s
0m01.86s  | categories/FunctorCategory/Morphisms                               | 0m01.78s  || +0m00.08s
0m01.60s  | categories/Functor/Composition/Functorial/Core                     | 0m01.34s  || +0m00.26s
0m01.57s  | categories/NaturalTransformation/Paths                             | 0m01.69s  || -0m00.11s
0m01.36s  | categories/InitialTerminalCategory/Pseudofunctors                  | 0m01.36s  || +0m00.00s
0m01.30s  | categories/Category/Sigma/OnObjects                                | 0m01.32s  || -0m00.02s
0m01.27s  | categories/NaturalTransformation/Pointwise                         | 0m01.32s  || -0m00.05s
0m01.24s  | types/Prod                                                         | 0m01.31s  || -0m00.07s
0m01.18s  | categories/Category/Prod                                           | 0m01.25s  || -0m00.07s
0m01.16s  | categories/NaturalTransformation/Composition/Laws                  | 0m01.20s  || -0m00.04s
0m01.15s  | categories/Limits/Core                                             | 0m01.19s  || -0m00.04s
0m01.13s  | categories/Functor/Pointwise                                       | 0m01.12s  || +0m00.00s
0m01.05s  | categories/ExponentialLaws/Law1/Functors                           | 0m00.99s  || +0m00.06s
0m01.00s  | categories/ExponentialLaws/Law   N/A                               | 0m01.08s  || -0m00.08s
0m01.00s  | contrib/HoTTBookExercises                                          | 0m00.95s  || +0m00.05s
0m00.97s  | categories/NaturalTransformation/Prod                              | 0m00.93s  || +0m00.03s
0m00.96s  | categories/CategoryOfSections/Core                                 | 0m01.06s  || -0m00.10s
0m00.90s  | hit/epi                                                            | 0m00.90s  || +0m00.00s
0m00.89s  | categories/Functor/Prod                                            | 0m00.92s  || -0m00.03s
0m00.88s  | types/Paths                                                        | 0m00.83s  || +0m00.05s
0m00.83s  | categories/SetCategory/Morphisms                                   | 0m00.86s  || -0m00.03s
0m00.83s  | hit/Spheres                                                        | 0m00.83s  || +0m00.00s
0m00.76s  | contrib/HoTTBook                                                   | 0m00.80s  || -0m00.04s
0m00.70s  | types/Universe                                                     | 0m00.64s  || +0m00.05s
0m00.69s  | hit/Suspension                                                     | 0m00.65s  || +0m00.03s
0m00.69s  | categories/categories                                              | 0m00.62s  || +0m00.06s
0m00.65s  | categories/NaturalTransformation/Composition/Core                  | 0m00.66s  || -0m00.01s
0m00.62s  | UnivalenceImpliesFunext                                            | 0m00.60s  || +0m00.02s
0m00.59s  | Trunc                                                              | 0m00.57s  || +0m00.02s
0m00.58s  | types/Sum                                                          | 0m00.58s  || +0m00.00s
0m00.58s  | categories/NaturalTransformation/Sum                               | 0m00.55s  || +0m00.02s
0m00.54s  | categories/Limits/Functors                                         | 0m00.48s  || +0m00.06s
0m00.53s  | hit/quotient                                                       | 0m00.53s  || +0m00.00s
0m00.52s  | Functorish                                                         | 0m00.54s  || -0m00.02s
0m00.50s  | categories/Comma/Projection                                        | 0m00.54s  || -0m00.04s
0m00.49s  | hit/Circle                                                         | 0m00.53s  || -0m00.04s
0m00.47s  | categories/InitialTerminalCategory/Functors                        | 0m00.43s  || +0m00.03s
0m00.47s  | categories/KanExtensions/Functors                                  | 0m00.52s  || -0m00.05s
0m00.46s  | Tactics                                                            | 0m00.47s  || -0m00.00s
0m00.46s  | categories/Functor/Composition/Laws                                | 0m00.46s  || +0m00.00s
0m00.44s  | categories/ExponentialLaws/Law3/Functors                           | 0m00.41s  || +0m00.03s
0m00.42s  | categories/NaturalTransformation/Identity                          | 0m00.41s  || +0m00.01s
0m00.40s  | Fibrations                                                         | 0m00.37s  || +0m00.03s
0m00.40s  | types/Forall                                                       | 0m00.46s  || -0m00.06s
0m00.39s  | categories/FundamentalPreGroupoidCategory                          | 0m00.36s  || +0m00.03s
0m00.38s  | categories/Cat/Core                                                | 0m00.40s  || -0m00.02s
0m00.34s  | TruncType                                                          | 0m00.32s  || +0m00.02s
0m00.33s  | categories/Functor/Functor                                         | 0m00.32s  || +0m00.01s
0m00.32s  | categories/InitialTerminalCategory/NaturalTransformations          | 0m00.31s  || +0m00.01s
0m00.32s  | categories/HomotopyPreCategory                                     | 0m00.32s  || +0m00.00s
0m00.31s  | categories/IndiscreteCategory                                      | 0m00.28s  || +0m00.02s
0m00.31s  | categories/Functor/Dual                                            | 0m00.33s  || -0m00.02s
0m00.31s  | categories/Cat/Morphisms                                           | 0m00.26s  || +0m00.04s
0m00.30s  | categories/Notations                                               | 0m00.24s  || +0m00.06s
0m00.30s  | categories/KanExtensions/Core                                      | 0m00.28s  || +0m00.01s
0m00.29s  | categories/NaturalTransformation/Core                              | 0m00.22s  || +0m00.06s
0m00.28s  | categories/Category/Objects                                        | 0m00.23s  || +0m00.05s
0m00.28s  | types/Arrow                                                        | 0m00.28s  || +0m00.00s
0m00.28s  | categories/InitialTerminalCategory/InitialTerminalCategory         | 0m00.26s  || +0m00.02s
0m00.28s  | categories/NaturalTransformation/Composition/Functorial            | 0m00.35s  || -0m00.06s
0m00.27s  | categories/Utf8                                                    | 0m00.28s  || -0m00.01s
0m00.26s  | categories/ExponentialLaws/ExponentialLaws                         | 0m00.27s  || -0m00.01s
0m00.26s  | categories/Adjoint/Adjoint                                         | 0m00.25s  || +0m00.01s
0m00.26s  | categories/Grothendieck/Grothendieck                               | 0m00.24s  || +0m00.02s
0m00.24s  | hit/minus1Trunc                                                    | 0m00.28s  || -0m00.04s
0m00.23s  | categories/Adjoint/Hom                                             | 0m00.26s  || -0m00.03s
0m00.23s  | types/Bool                                                         | 0m00.21s  || +0m00.02s
0m00.22s  | categories/SetCategory/Functors/Functors                           | 0m00.25s  || -0m00.03s
0m00.22s  | categories/Grothendieck/ToCat                                      | 0m00.22s  || +0m00.00s
0m00.21s  | hit/iso                                                            | 0m00.18s  || +0m00.03s
0m00.20s  | Conjugation                                                        | 0m00.22s  || -0m00.01s
0m00.20s  | categories/DependentProduct                                        | 0m00.20s  || +0m00.00s
0m00.20s  | categories/Limits/Limits                                           | 0m00.20s  || +0m00.00s
0m00.20s  | categories/Comma/Comma                                             | 0m00.24s  || -0m00.03s
0m00.20s  | categories/NatCategory                                             | 0m00.18s  || +0m00.02s
0m00.20s  | categories/Functor/Composition/Core                                | 0m00.24s  || -0m00.03s
0m00.20s  | Tests                                                              | 0m00.13s  || +0m00.07s
0m00.20s  | categories/NaturalTransformation/Utf8                              | 0m00.16s  || +0m00.04s
0m00.19s  | categories/NaturalTransformation/NaturalTransformation             | 0m00.20s  || -0m00.01s
0m00.19s  | categories/Functor/Utf8                                            | 0m00.18s  || +0m00.01s
0m00.18s  | hit/unique_choice                                                  | 0m00.12s  || +0m00.06s
0m00.18s  | categories/Functor/Notations                                       | 0m00.23s  || -0m00.05s
0m00.18s  | categories/GroupoidCategory/Core                                   | 0m00.14s  || +0m00.03s
0m00.18s  | categories/Adjoint/Composition/Composition                         | 0m00.16s  || +0m00.01s
0m00.18s  | categories/Category/Core                                           | 0m00.13s  || +0m00.04s
0m00.17s  | categories/Functor/Composition/Functorial                          | 0m00.15s  || +0m00.02s
0m00.17s  | categories/KanExtensions/KanExtensions                             | 0m00.18s  || -0m00.00s
0m00.17s  | categories/Adjoint/Notations                                       | 0m00.13s  || +0m00.04s
0m00.17s  | Modality                                                           | 0m00.21s  || -0m00.03s
0m00.17s  | categories/Category/Category                                       | 0m00.14s  || +0m00.03s
0m00.17s  | categories/PseudonaturalTransformation/PseudonaturalTransformation | 0m00.18s  || -0m00.00s
0m00.17s  | categories/Pseudofunctor/Pseudofunctor                             | 0m00.15s  || +0m00.02s
0m00.16s  | categories/Cat/Cat                                                 | 0m00.14s  || +0m00.01s
0m00.16s  | categories/FunctorCategory/Utf8                                    | 0m00.18s  || -0m00.01s
0m00.16s  | HoTT                                                               | 0m00.16s  || +0m00.00s
0m00.16s  | categories/Functor/Composition/Composition                         | 0m00.18s  || -0m00.01s
0m00.16s  | Misc                                                               | 0m00.14s  || +0m00.01s
0m00.16s  | FunextVarieties                                                    | 0m00.19s  || -0m00.03s
0m00.16s  | Overture                                                           | 0m00.19s  || -0m00.03s
0m00.16s  | categories/FunctorCategory/Notations                               | 0m00.14s  || +0m00.01s
0m00.16s  | categories/Category/Pi                                             | 0m00.18s  || -0m00.01s
0m00.15s  | categories/Profunctor/Representable                                | 0m00.12s  || +0m00.03s
0m00.15s  | categories/ExponentialLaws/Law3/Law3                               | 0m00.12s  || +0m00.03s
0m00.15s  | categories/DiscreteCategory                                        | 0m00.10s  || +0m00.04s
0m00.15s  | categories/Functor/Prod/Prod                                       | 0m00.17s  || -0m00.02s
0m00.15s  | categories/InitialTerminalCategory/Notations                       | 0m00.16s  || -0m00.01s
0m00.15s  | types/Unit                                                         | 0m00.16s  || -0m00.01s
0m00.14s  | categories/Adjoint/Utf8                                            | 0m00.18s  || -0m00.03s
0m00.14s  | categories/SetCategory/Core                                        | 0m00.14s  || +0m00.00s
0m00.14s  | categories/Adjoint/Identity                                        | 0m00.21s  || -0m00.06s
0m00.14s  | categories/FunctorCategory/FunctorCategory                         | 0m00.18s  || -0m00.03s
0m00.14s  | categories/NaturalTransformation/Notations                         | 0m00.12s  || +0m00.02s
0m00.14s  | categories/Profunctor/Identity                                     | 0m00.12s  || +0m00.02s
0m00.14s  | categories/ExponentialLaws/Law1/Law1                               | 0m00.13s  || +0m00.01s
0m00.14s  | categories/FunctorCategory/Core                                    | 0m00.13s  || +0m00.01s
0m00.14s  | categories/CategoryOfSections/CategoryOfSections                   | 0m00.14s  || +0m00.00s
0m00.13s  | categories/Comma/Utf8                                              | 0m00.16s  || -0m00.03s
0m00.13s  | categories/Category/Dual                                           | 0m00.14s  || -0m00.01s
0m00.13s  | categories/Structure/Structure                                     | 0m00.12s  || +0m00.01s
0m00.13s  | categories/InitialTerminalCategory/Core                            | 0m00.16s  || -0m00.03s
0m00.13s  | categories/ExponentialLaws/Law2/Law2                               | 0m00.12s  || +0m00.01s
0m00.13s  | hit/Truncations                                                    | 0m00.13s  || +0m00.00s
0m00.13s  | categories/Profunctor/Utf8                                         | 0m00.14s  || -0m00.01s
0m00.12s  | Contractible                                                       | 0m00.10s  || +0m00.01s
0m00.12s  | categories/Profunctor/Core                                         | 0m00.16s  || -0m00.04s
0m00.12s  | hit/Interval                                                       | 0m00.13s  || -0m00.01s
0m00.12s  | categories/Category/Univalent                                      | 0m00.13s  || -0m00.01s
0m00.12s  | categories/Comma/Notations                                         | 0m00.11s  || +0m00.00s
0m00.12s  | hit/TwoSphere                                                      | 0m00.15s  || -0m00.03s
0m00.12s  | categories/SetCategory/SetCategory                                 | 0m00.09s  || +0m00.03s
0m00.12s  | UnivalenceAxiom                                                    | 0m00.10s  || +0m00.01s
0m00.12s  | categories/NaturalTransformation/Composition/Composition           | 0m00.14s  || -0m00.02s
0m00.12s  | categories/Category/Sigma/Sigma                                    | 0m00.13s  || -0m00.01s
0m00.12s  | categories/Functor/Pointwise/Pointwise                             | 0m00.12s  || +0m00.00s
0m00.12s  | categories/Adjoint/Composition/LawsTactic                          | 0m00.11s  || +0m00.00s
0m00.11s  | categories/Adjoint/Core                                            | 0m00.11s  || +0m00.00s
0m00.11s  | categories/GroupoidCategory/GroupoidCategory                       | 0m00.10s  || +0m00.00s
0m00.11s  | categories/Profunctor/Profunctor                                   | 0m00.10s  || +0m00.00s
0m00.11s  | categories/Category/Subcategory/Full                               | 0m00.09s  || +0m00.02s
0m00.10s  | categories/Profunctor/Notations                                    | 0m00.14s  || -0m00.04s
0m00.10s  | coq/Init/Peano                                                     | 0m00.11s  || -0m00.00s
0m00.10s  | categories/Functor/Core                                            | 0m00.11s  || -0m00.00s
0m00.10s  | categories/Category/Subcategory/Wide                               | 0m00.11s  || -0m00.00s
0m00.10s  | categories/Structure/Notations                                     | 0m00.12s  || -0m00.01s
0m00.10s  | categories/Category/Subcategory/Subcategory                        | 0m00.11s  || -0m00.00s
0m00.08s  | categories/Functor/Identity                                        | 0m00.06s  || +0m00.02s
0m00.08s  | coq/Init/Specif                                                    | 0m00.08s  || +0m00.00s
0m00.08s  | categories/Category/Notations                                      | 0m00.10s  || -0m00.02s
0m00.08s  | categories/Structure/Utf8                                          | 0m00.12s  || -0m00.03s
0m00.08s  | types/Empty                                                        | 0m00.07s  || +0m00.00s
0m00.07s  | categories/Category/Utf8                                           | 0m00.12s  || -0m00.04s
0m00.07s  | categories/Category/Strict                                         | 0m00.06s  || +0m00.01s
0m00.07s  | categories/ExponentialLaws/Law4/Law4                               | 0m00.13s  || -0m00.06s
0m00.06s  | coq/Init/Datatypes                                                 | 0m00.06s  || +0m00.00s
0m00.06s  | types/UniverseLevel                                                | 0m00.08s  || -0m00.02s
0m00.06s  | coq/Init/Logic_Type                                                | 0m00.07s  || -0m00.01s
0m00.06s  | coq/Program/Tactics                                                | 0m00.05s  || +0m00.00s
0m00.05s  | Pointed                                                            | 0m00.10s  || -0m00.05s
0m00.05s  | FunextAxiom                                                        | 0m00.06s  || -0m00.00s
0m00.04s  | coq/Init/Prelude                                                   | 0m00.04s  || +0m00.00s
0m00.04s  | coq/Bool/Bool                                                      | 0m00.02s  || +0m00.02s
0m00.04s  | coq/Init/Tactics                                                   | 0m00.03s  || +0m00.01s
0m00.03s  | coq/Init/Logic                                                     | 0m00.04s  || -0m00.01s
0m00.02s  | coq/Init/Notations                                                 | 0m00.03s  || -0m00.00s
Define lax comma categories

They are unfortunately extremely slow.

After     | File Name                                                          | Before    || Change
-------------------------------------------------------------------------------------------------------
12m51.06s | Total                                                              | 10m12.94s || +2m38.12s
-------------------------------------------------------------------------------------------------------
1m16.96s  | categories/LaxComma/CoreParts                                      |    N/A    || +1m16.96s
0m49.76s  | categories/LaxComma/CoreLaws                                       |    N/A    || +0m49.75s
0m43.91s  | categories/Pseudofunctor/RewriteLaws                               | 0m39.95s  || +0m03.95s
0m15.10s  | categories/Adjoint/Composition/Core                                | 0m11.82s  || +0m03.27s
0m18.84s  | categories/Comma/InducedFunctors                                   | 0m16.42s  || +0m02.41s
0m15.25s  | categories/Pseudofunctor/Identity                                  | 0m12.56s  || +0m02.68s
0m14.29s  | categories/Adjoint/Dual                                            | 0m11.75s  || +0m02.53s
0m10.44s  | categories/ExponentialLaws/Law1/Law                                | 0m08.29s  || +0m02.15s
0m12.85s  | categories/Pseudofunctor/FromFunctor                               | 0m11.66s  || +0m01.18s
0m09.83s  | categories/Yoneda                                                  | 0m08.36s  || +0m01.47s
0m08.28s  | categories/Adjoint/Paths                                           | 0m06.47s  || +0m01.80s
0m04.00s  | categories/Functor/Composition/Functorial/Attributes               | 0m02.84s  || +0m01.16s
1m47.54s  | categories/Comma/ProjectionFunctors                                | 1m47.54s  || +0m00.00s
0m35.22s  | categories/Adjoint/Composition/AssociativityLaw                    | 0m34.36s  || +0m00.85s
0m24.82s  | categories/Grothendieck/PseudofunctorToCat                         | 0m24.94s  || -0m00.12s
0m21.77s  | categories/Adjoint/HomCoercions                                    | 0m21.16s  || +0m00.60s
0m16.67s  | categories/Adjoint/UnitCounitCoercions                             | 0m16.70s  || -0m00.02s
0m16.47s  | categories/FunctorCategory/Dual                                    | 0m16.10s  || +0m00.36s
0m16.44s  | categories/ExponentialLaws/Law4/Functors                           | 0m17.09s  || -0m00.64s
0m14.60s  | categories/PseudonaturalTransformation/Core                        | 0m13.82s  || +0m00.77s
0m13.13s  | hit/Flattening                                                     | 0m13.17s  || -0m00.03s
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0m08.33s  | categories/UniversalProperties                                     | 0m07.36s  || +0m00.96s
0m08.14s  | categories/Functor/Prod/Universal                                  | 0m07.90s  || +0m00.24s
0m07.89s  | categories/GroupoidCategory/Morphisms                              | 0m07.82s  || +0m00.06s
0m07.02s  | hit/Connectedness                                                  | 0m06.95s  || +0m00.06s
0m06.64s  | categories/Structure/IdentityPrinciple                             | 0m06.49s  || +0m00.14s
0m06.61s  | categories/Adjoint/UnitCounit                                      | 0m06.52s  || +0m00.09s
0m06.58s  | categories/Comma/Dual                                              | 0m06.18s  || +0m00.40s
0m05.94s  | categories/Category/Morphisms                                      | 0m06.07s  || -0m00.12s
0m05.77s  | categories/Functor/Paths                                           | 0m06.10s  || -0m00.33s
0m05.66s  | categories/DualFunctor                                             | 0m05.07s  || +0m00.58s
0m05.50s  | categories/Functor/Sum                                             | 0m05.44s  || +0m00.05s
0m05.42s  | EquivalenceVarieties                                               | 0m05.26s  || +0m00.16s
0m05.35s  | categories/ExponentialLaws/Law2/Functors                           | 0m04.80s  || +0m00.54s
0m04.49s  | categories/Category/Sigma/OnMorphisms                              | 0m04.44s  || +0m00.04s
0m03.88s  | categories/ProductLaws                                             | 0m03.96s  || -0m00.08s
0m03.68s  | categories/Structure/Core                                          | 0m03.59s  || +0m00.09s
0m03.34s  | types/ObjectClassifier                                             | 0m03.41s  || -0m00.07s
0m03.20s  | categories/FunctorCategory/Functorial                              | 0m02.70s  || +0m00.50s
0m03.18s  | HSet                                                               | 0m02.96s  || +0m00.22s
0m03.05s  | categories/Adjoint/UniversalMorphisms                              | 0m02.77s  || +0m00.27s
0m03.01s  | types/Sigma                                                        | 0m03.06s  || -0m00.05s
0m02.97s  | categories/Functor/Prod/Functorial                                 | 0m03.15s  || -0m00.17s
0m02.72s  | HProp                                                              | 0m02.73s  || -0m00.00s
0m02.63s  | categories/Grothendieck/ToSet                                      | 0m02.43s  || +0m00.19s
0m02.54s  | Equivalences                                                       | 0m02.51s  || +0m00.03s
0m02.37s  | categories/Functor/Attributes                                      | 0m02.26s  || +0m00.11s
0m02.30s  | categories/Comma/Core                                              | 0m02.01s  || +0m00.29s
0m02.30s  | categories/Category/Sum                                            | 0m02.32s  || -0m00.02s
0m02.16s  | categories/NaturalTransformation/Isomorphisms                      | 0m02.04s  || +0m00.12s
0m01.96s  | categories/Category/Sigma/Core                                     | 0m02.15s  || -0m00.18s
0m01.96s  | PathGroupoids                                                      | 0m01.98s  || -0m00.02s
0m01.96s  | types/Record                                                       | 0m01.89s  || +0m00.07s
0m01.87s  | categories/Pseudofunctor/Core                                      | 0m01.86s  || +0m00.01s
0m01.82s  | categories/NaturalTransformation/Dual                              | 0m01.78s  || +0m00.04s
0m01.80s  | categories/HomFunctor                                              | 0m01.82s  || -0m00.02s
0m01.69s  | categories/NaturalTransformation/Paths                             | 0m01.52s  || +0m00.16s
0m01.65s  | categories/FunctorCategory/Morphisms                               | 0m01.68s  || -0m00.03s
0m01.44s  | categories/Functor/Composition/Functorial/Core                     | 0m01.18s  || +0m00.26s
0m01.41s  | categories/NaturalTransformation/Pointwise                         | 0m01.28s  || +0m00.12s
0m01.35s  | categories/Limits/Core                                             | 0m01.30s  || +0m00.05s
0m01.32s  | types/Prod                                                         | 0m01.28s  || +0m00.04s
0m01.30s  | categories/Category/Prod                                           | 0m01.20s  || +0m00.10s
0m01.30s  | categories/InitialTerminalCategory/Pseudofunctors                  | 0m01.31s  || -0m00.01s
0m01.23s  | categories/Category/Sigma/OnObjects                                | 0m01.27s  || -0m00.04s
0m01.15s  | categories/NaturalTransformation/Composition/Laws                  | 0m01.14s  || +0m00.01s
0m01.08s  | categories/CategoryOfSections/Core                                 | 0m00.99s  || +0m00.09s
0m01.07s  | categories/ExponentialLaws/Law   N/A                               | 0m00.96s  || +0m00.11s
0m01.00s  | contrib/HoTTBookExercises                                          | 0m01.06s  || -0m00.06s
0m00.99s  | categories/Functor/Pointwise                                       | 0m01.10s  || -0m00.11s
0m00.95s  | categories/Functor/Prod                                            | 0m00.90s  || +0m00.04s
0m00.94s  | hit/Spheres                                                        | 0m00.86s  || +0m00.07s
0m00.93s  | hit/epi                                                            | 0m00.92s  || +0m00.01s
0m00.92s  | categories/NaturalTransformation/Prod                              | 0m00.92s  || +0m00.00s
0m00.91s  | categories/ExponentialLaws/Law1/Functors                           | 0m00.98s  || -0m00.06s
0m00.86s  | types/Paths                                                        | 0m00.87s  || -0m00.01s
0m00.81s  | contrib/HoTTBook                                                   | 0m00.78s  || +0m00.03s
0m00.75s  | categories/SetCategory/Morphisms                                   | 0m00.76s  || -0m00.01s
0m00.72s  | types/Universe                                                     | 0m00.71s  || +0m00.01s
0m00.68s  | categories/NaturalTransformation/Composition/Core                  | 0m00.64s  || +0m00.04s
0m00.66s  | hit/Suspension                                                     | 0m00.66s  || +0m00.00s
0m00.64s  | categories/categories                                              | 0m00.64s  || +0m00.00s
0m00.61s  | types/Sum                                                          | 0m00.61s  || +0m00.00s
0m00.61s  | UnivalenceImpliesFunext                                            | 0m00.57s  || +0m00.04s
0m00.59s  | Trunc                                                              | 0m00.64s  || -0m00.05s
0m00.57s  | Functorish                                                         | 0m00.46s  || +0m00.10s
0m00.56s  | categories/Comma/Projection                                        | 0m00.46s  || +0m00.10s
0m00.54s  | hit/Circle                                                         | 0m00.51s  || +0m00.03s
0m00.54s  | hit/quotient                                                       | 0m00.56s  || -0m00.02s
0m00.53s  | categories/KanExtensions/Functors                                  | 0m00.46s  || +0m00.07s
0m00.51s  | categories/Limits/Functors                                         | 0m00.48s  || +0m00.03s
0m00.51s  | categories/NaturalTransformation/Sum                               | 0m00.48s  || +0m00.03s
0m00.50s  | Tactics                                                            | 0m00.42s  || +0m00.08s
0m00.50s  | categories/Functor/Composition/Laws                                | 0m00.51s  || -0m00.01s
0m00.47s  | categories/InitialTerminalCategory/Functors                        | 0m00.40s  || +0m00.06s
0m00.45s  | types/Forall                                                       | 0m00.46s  || -0m00.01s
0m00.42s  | categories/KanExtensions/Core                                      | 0m00.29s  || +0m00.13s
0m00.41s  | categories/NaturalTransformation/Identity                          | 0m00.40s  || +0m00.00s
0m00.40s  | categories/Cat/Core                                                | 0m00.34s  || +0m00.06s
0m00.35s  | categories/ExponentialLaws/Law3/Functors                           | 0m00.44s  || -0m00.09s
0m00.35s  | categories/Functor/Functor                                         | 0m00.29s  || +0m00.06s
0m00.34s  | categories/InitialTerminalCategory/NaturalTransformations          | 0m00.30s  || +0m00.04s
0m00.34s  | TruncType                                                          | 0m00.32s  || +0m00.02s
0m00.34s  | Fibrations                                                         | 0m00.41s  || -0m00.06s
0m00.33s  | categories/HomotopyPreCategory                                     | 0m00.29s  || +0m00.04s
0m00.32s  | categories/FundamentalPreGroupoidCategory                          | 0m00.34s  || -0m00.02s
0m00.32s  | categories/NaturalTransformation/Composition/Functorial            | 0m00.29s  || +0m00.03s
0m00.31s  | categories/Functor/Dual                                            | 0m00.29s  || +0m00.02s
0m00.30s  | types/Arrow                                                        | 0m00.24s  || +0m00.06s
0m00.29s  | categories/Adjoint/Hom                                             | 0m00.27s  || +0m00.01s
0m00.29s  | categories/Category/Objects                                        | 0m00.24s  || +0m00.04s
0m00.29s  | hit/minus1Trunc                                                    | 0m00.26s  || +0m00.02s
0m00.28s  | categories/Adjoint/Adjoint                                         | 0m00.23s  || +0m00.05s
0m00.28s  | categories/Cat/Morphisms                                           | 0m00.32s  || -0m00.03s
0m00.27s  | categories/ExponentialLaws/ExponentialLaws                         | 0m00.32s  || -0m00.04s
0m00.27s  | categories/IndiscreteCategory                                      | 0m00.28s  || -0m00.01s
0m00.27s  | categories/NaturalTransformation/Core                              | 0m00.20s  || +0m00.07s
0m00.26s  | categories/Notations                                               | 0m00.26s  || +0m00.00s
0m00.26s  | categories/Grothendieck/Grothendieck                               | 0m00.23s  || +0m00.03s
0m00.25s  | categories/Utf8                                                    | 0m00.26s  || -0m00.01s
0m00.24s  | categories/FunctorCategory/FunctorCategory                         | 0m00.12s  || +0m00.12s
0m00.23s  | categories/NaturalTransformation/NaturalTransformation             | 0m00.16s  || +0m00.07s
0m00.23s  | categories/InitialTerminalCategory/InitialTerminalCategory         | 0m00.26s  || -0m00.03s
0m00.22s  | categories/Functor/Composition/Functorial                          | 0m00.16s  || +0m00.06s
0m00.21s  | categories/Adjoint/Identity                                        | 0m00.16s  || +0m00.04s
0m00.21s  | categories/Functor/Composition/Core                                | 0m00.25s  || -0m00.04s
0m00.20s  | categories/Cat/Cat                                                 | 0m00.17s  || +0m00.03s
0m00.20s  | categories/SetCategory/Functors/Functors                           | 0m00.22s  || -0m00.01s
0m00.20s  | categories/Functor/Composition/Composition                         | 0m00.18s  || +0m00.02s
0m00.20s  | categories/Grothendieck/ToCat                                      | 0m00.23s  || -0m00.03s
0m00.20s  | categories/Comma/Comma                                             | 0m00.23s  || -0m00.03s
0m00.20s  | categories/InitialTerminalCategory/Notations                       | 0m00.14s  || +0m00.06s
0m00.20s  | types/Bool                                                         | 0m00.21s  || -0m00.00s
0m00.20s  | categories/Category/Pi                                             | 0m00.19s  || +0m00.01s
0m00.19s  | Conjugation                                                        | 0m00.23s  || -0m00.04s
0m00.19s  | categories/FunctorCategory/Utf8                                    | 0m00.20s  || -0m00.01s
0m00.19s  | categories/FunctorCategory/Core                                    | 0m00.16s  || +0m00.03s
0m00.18s  | categories/ExponentialLaws/Law3/Law3                               | 0m00.10s  || +0m00.07s
0m00.18s  | categories/Limits/Limits                                           | 0m00.21s  || -0m00.03s
0m00.18s  | hit/iso                                                            | 0m00.21s  || -0m00.03s
0m00.18s  | Misc                                                               | 0m00.16s  || +0m00.01s
0m00.18s  | categories/Functor/Notations                                       | 0m00.20s  || -0m00.02s
0m00.18s  | categories/GroupoidCategory/Core                                   | 0m00.17s  || +0m00.00s
0m00.18s  | categories/Functor/Utf8                                            | 0m00.16s  || +0m00.01s
0m00.18s  | FunextVarieties                                                    | 0m00.19s  || -0m00.01s
0m00.17s  | categories/DependentProduct                                        | 0m00.26s  || -0m00.09s
0m00.17s  | categories/Adjoint/Utf8                                            | 0m00.20s  || -0m00.03s
0m00.17s  | categories/KanExtensions/KanExtensions                             | 0m00.18s  || -0m00.00s
0m00.17s  | categories/Profunctor/Notations                                    | 0m00.14s  || +0m00.03s
0m00.17s  | categories/NatCategory                                             | 0m00.18s  || -0m00.00s
0m00.17s  | categories/NaturalTransformation/Utf8                              | 0m00.18s  || -0m00.00s
0m00.17s  | Overture                                                           | 0m00.16s  || +0m00.01s
0m00.17s  | categories/Profunctor/Utf8                                         | 0m00.20s  || -0m00.03s
0m00.16s  | categories/Profunctor/Core                                         | 0m00.14s  || +0m00.01s
0m00.16s  | categories/Functor/Prod/Prod                                       | 0m00.16s  || +0m00.00s
0m00.16s  | categories/SetCategory/Core                                        | 0m00.14s  || +0m00.01s
0m00.16s  | HoTT                                                               | 0m00.14s  || +0m00.01s
0m00.16s  | categories/Category/Dual                                           | 0m00.14s  || +0m00.01s
0m00.16s  | Modality                                                           | 0m00.18s  || -0m00.01s
0m00.16s  | categories/Adjoint/Composition/Composition                         | 0m00.16s  || +0m00.00s
0m00.16s  | categories/PseudonaturalTransformation/PseudonaturalTransformation | 0m00.15s  || +0m00.01s
0m00.16s  | categories/NaturalTransformation/Notations                         | 0m00.16s  || +0m00.00s
0m00.16s  | hit/TwoSphere                                                      | 0m00.17s  || -0m00.01s
0m00.16s  | categories/Adjoint/Composition/LawsTactic                          | 0m00.14s  || +0m00.01s
0m00.15s  | categories/Profunctor/Representable                                | 0m00.14s  || +0m00.00s
0m00.15s  | categories/Pseudofunctor/Pseudofunctor                             | 0m00.22s  || -0m00.07s
0m00.15s  | categories/ExponentialLaws/Law2/Law2                               | 0m00.14s  || +0m00.00s
0m00.14s  | hit/Interval                                                       | 0m00.14s  || +0m00.00s
0m00.14s  | categories/Adjoint/Notations                                       | 0m00.19s  || -0m00.04s
0m00.14s  | categories/Profunctor/Profunctor                                   | 0m00.16s  || -0m00.01s
0m00.14s  | categories/Comma/Notations                                         | 0m00.12s  || +0m00.02s
0m00.14s  | categories/Category/Category                                       | 0m00.16s  || -0m00.01s
0m00.14s  | categories/Category/Core                                           | 0m00.15s  || -0m00.00s
0m00.14s  | Tests                                                              | 0m00.10s  || +0m00.04s
0m00.14s  | categories/Profunctor/Identity                                     | 0m00.12s  || +0m00.02s
0m00.14s  | types/Unit                                                         | 0m00.12s  || +0m00.02s
0m00.13s  | categories/GroupoidCategory/GroupoidCategory                       | 0m00.10s  || +0m00.03s
0m00.13s  | categories/Category/Utf8                                           | 0m00.08s  || +0m00.05s
0m00.13s  | categories/ExponentialLaws/Law4/Law4                               | 0m00.11s  || +0m00.02s
0m00.13s  | hit/unique_choice                                                  | 0m00.15s  || -0m00.01s
0m00.13s  | categories/Category/Univalent                                      | 0m00.11s  || +0m00.02s
0m00.12s  | categories/Structure/Structure                                     | 0m00.16s  || -0m00.04s
0m00.12s  | coq/Init/Peano                                                     | 0m00.10s  || +0m00.01s
0m00.12s  | categories/InitialTerminalCategory/Core                            | 0m00.14s  || -0m00.02s
0m00.12s  | categories/Functor/Core                                            | 0m00.08s  || +0m00.03s
0m00.12s  | categories/Category/Subcategory/Wide                               | 0m00.11s  || +0m00.00s
0m00.12s  | categories/SetCategory/SetCategory                                 | 0m00.10s  || +0m00.01s
0m00.12s  | categories/Category/Notations                                      | 0m00.11s  || +0m00.00s
0m00.12s  | categories/Category/Sigma/Sigma                                    | 0m00.12s  || +0m00.00s
0m00.12s  | categories/Functor/Pointwise/Pointwise                             | 0m00.12s  || +0m00.00s
0m00.12s  | categories/FunctorCategory/Notations                               | 0m00.10s  || +0m00.01s
0m00.12s  | categories/Structure/Utf8                                          | 0m00.12s  || +0m00.00s
0m00.12s  | hit/Truncations                                                    | 0m00.11s  || +0m00.00s
0m00.11s  | categories/Comma/Utf8                                              | 0m00.15s  || -0m00.03s
0m00.11s  | categories/Adjoint/Core                                            | 0m00.12s  || -0m00.00s
0m00.11s  | Contractible                                                       | 0m00.14s  || -0m00.03s
0m00.11s  | categories/Structure/Notations                                     | 0m00.09s  || +0m00.02s
0m00.11s  | categories/ExponentialLaws/Law1/Law1                               | 0m00.16s  || -0m00.05s
0m00.10s  | categories/DiscreteCategory                                        | 0m00.10s  || +0m00.00s
0m00.10s  | categories/Functor/Identity                                        | 0m00.08s  || +0m00.02s
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0m00.10s  | UnivalenceAxiom                                                    | 0m00.10s  || +0m00.00s
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0m00.10s  | categories/Category/Subcategory/Full                               | 0m00.13s  || -0m00.03s
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0m00.08s  | categories/Category/Strict                                         | 0m00.08s  || +0m00.00s
0m00.08s  | coq/Init/Specif                                                    | 0m00.09s  || -0m00.00s
0m00.08s  | types/UniverseLevel                                                | 0m00.07s  || +0m00.00s
0m00.08s  | FunextAxiom                                                        | 0m00.08s  || +0m00.00s
0m00.07s  | coq/Init/Datatypes                                                 | 0m00.05s  || +0m00.02s
0m00.07s  | types/Empty                                                        | 0m00.06s  || +0m00.01s
0m00.06s  | Pointed                                                            | 0m00.09s  || -0m00.03s
0m00.06s  | coq/Init/Logic_Type                                                | 0m00.05s  || +0m00.00s
0m00.06s  | coq/Program/Tactics                                                | 0m00.05s  || +0m00.00s
0m00.04s  | coq/Init/Notations                                                 | 0m00.04s  || +0m00.00s
0m00.04s  | coq/Bool/Bool                                                      | 0m00.02s  || +0m00.02s
0m00.04s  | coq/Init/Tactics                                                   | 0m00.04s  || +0m00.00s
0m00.03s  | coq/Init/Prelude                                                   | 0m00.03s  || +0m00.00s
0m00.02s  | coq/Init/Logic                                                     | 0m00.02s  || +0m00.00s