GitHub PushEvent at 2014-04-24 03:26:15
Repository: HoTT
Actor: JasonGross
Payload: {"shas":[["9445d78e8fe06229833b2803d4382236ba866de6","29bbaec13092d36559e3abc6f27f7d09c395819f@mit.edu","Define pseudonatural transformations\n\nThis is based on an email from Mike Shulman.\n\nCompared with the pain of pseduofunctors, this one is surprisingly fast\nand (comparatively) lacking in pain.\n\nI'm not at all confident that I got it right, given that\n[nCatLab](http://ncatlab.org/nlab/show/pseudonatural+transformation#definition)\nmentions three laws rather than just one (respect for composition,\nrespect for units, and naturality).  But I guess if it gives me enough\nrope to define lax comma categories, and if I can show that every\nnatural transformation between functors to Cat gives rise to a\npseudonatural transformation between the corresponding pseudofunctors, I\nmight not care?\n\nAfter    | File Name                                                          | Before   || Change\n-----------------------------------------------------------------------------------------------------\n9m16.93s | Total                                                              | 9m17.54s || -0m00.60s\n-----------------------------------------------------------------------------------------------------\n0m06.59s | categories/PseudonaturalTransformation/Core                        |   N/A    || +0m06.58s\n1m46.78s | categories/Comma/ProjectionFunctors                                | 1m50.07s || -0m03.28s\n0m34.13s | categories/Adjoint/Composition/AssociativityLaw                    | 0m35.42s || -0m01.28s\n0m25.26s | categories/Grothendieck/PseudofunctorToCat                         | 0m24.93s || +0m00.33s\n0m21.58s | categories/Adjoint/HomCoercions                                    | 0m20.79s || +0m00.78s\n0m17.26s | categories/ExponentialLaws/Law4/Functors                           | 0m17.23s || +0m00.03s\n0m16.27s | categories/Adjoint/UnitCounitCoercions                             | 0m15.94s || +0m00.33s\n0m16.02s | categories/Comma/InducedFunctors                                   | 0m16.06s || -0m00.03s\n0m15.56s | categories/FunctorCategory/Dual                                    | 0m15.97s || -0m00.41s\n0m12.46s | hit/Flattening                                                     | 0m12.95s || -0m00.48s\n0m12.26s | categories/Functor/Pointwise/Properties                            | 0m12.24s || +0m00.01s\n0m12.12s | categories/Adjoint/Composition/Core                                | 0m11.71s || +0m00.40s\n0m12.08s | categories/Pseudofunctor/Core                                      | 0m12.31s || -0m00.23s\n0m11.81s | categories/Adjoint/Dual                                            | 0m11.29s || +0m00.52s\n0m10.97s | categories/Pseudofunctor/FromFunctor                               | 0m10.68s || +0m00.29s\n0m10.65s | categories/Adjoint/Composition/IdentityLaws                        | 0m10.66s || -0m00.00s\n0m08.45s | categories/Functor/Prod/Universal                                  | 0m08.30s || +0m00.14s\n0m08.34s | categories/Yoneda                                                  | 0m07.99s || +0m00.34s\n0m08.19s | categories/GroupoidCategory/Morphisms                              | 0m08.08s || +0m00.10s\n0m07.89s | categories/ExponentialLaws/Law1/Law                                | 0m08.12s || -0m00.22s\n0m07.33s | hit/Connectedness                                                  | 0m07.48s || -0m00.15s\n0m07.16s | categories/UniversalProperties                                     | 0m07.18s || -0m00.01s\n0m06.79s | categories/Structure/IdentityPrinciple                             | 0m06.43s || +0m00.36s\n0m06.64s | categories/Adjoint/Paths                                           | 0m06.18s || +0m00.46s\n0m06.08s | categories/Functor/Paths                                           | 0m06.04s || +0m00.04s\n0m06.03s | categories/Comma/Dual                                              | 0m06.45s || -0m00.41s\n0m05.98s | categories/Adjoint/UnitCounit                                      | 0m06.33s || -0m00.34s\n0m05.56s | categories/Category/Morphisms                                      | 0m05.99s || -0m00.43s\n0m05.37s | categories/Functor/Sum                                             | 0m05.31s || +0m00.06s\n0m05.18s | EquivalenceVarieties                                               | 0m05.18s || +0m00.00s\n0m04.89s | categories/ExponentialLaws/Law2/Functors                           | 0m05.16s || -0m00.27s\n0m04.52s | categories/Category/Sigma/OnMorphisms                              | 0m04.44s || +0m00.07s\n0m04.40s | categories/DualFunctor                                             | 0m05.04s || -0m00.63s\n0m04.05s | categories/ProductLaws                                             | 0m03.76s || +0m00.29s\n0m03.52s | categories/Structure/Core                                          | 0m03.70s || -0m00.18s\n0m03.25s | types/ObjectClassifier                                             | 0m03.41s || -0m00.16s\n0m03.14s | HSet                                                               | 0m03.18s || -0m00.04s\n0m02.98s | categories/Functor/Composition/Functorial/Attributes               | 0m02.95s || +0m00.02s\n0m02.98s | types/Sigma                                                        | 0m02.99s || -0m00.01s\n0m02.90s | categories/Adjoint/UniversalMorphisms                              | 0m02.74s || +0m00.15s\n0m02.82s | categories/Functor/Prod/Functorial                                 | 0m02.75s || +0m00.06s\n0m02.69s | HProp                                                              | 0m02.73s || -0m00.04s\n0m02.66s | categories/FunctorCategory/Functorial                              | 0m03.02s || -0m00.35s\n0m02.49s | Equivalences                                                       | 0m02.54s || -0m00.04s\n0m02.46s | categories/Grothendieck/ToSet                                      | 0m02.58s || -0m00.12s\n0m02.44s | categories/Functor/Attributes                                      | 0m02.70s || -0m00.26s\n0m02.22s | categories/Comma/Core                                              | 0m02.23s || -0m00.00s\n0m02.22s | categories/Category/Sum                                            | 0m02.30s || -0m00.07s\n0m01.99s | categories/NaturalTransformation/Isomorphisms                      | 0m02.15s || -0m00.15s\n0m01.93s | types/Record                                                       | 0m01.87s || +0m00.05s\n0m01.91s | categories/Category/Sigma/Core                                     | 0m02.06s || -0m00.15s\n0m01.86s | PathGroupoids                                                      | 0m01.94s || -0m00.07s\n0m01.80s | categories/HomFunctor                                              | 0m01.78s || +0m00.02s\n0m01.80s | categories/NaturalTransformation/Dual                              | 0m01.84s || -0m00.04s\n0m01.72s | categories/FunctorCategory/Morphisms                               | 0m01.72s || +0m00.00s\n0m01.63s | categories/NaturalTransformation/Paths                             | 0m01.58s || +0m00.04s\n0m01.38s | types/Prod                                                         | 0m01.24s || +0m00.13s\n0m01.34s | categories/Category/Sigma/OnObjects                                | 0m01.35s || -0m00.01s\n0m01.32s | categories/NaturalTransformation/Pointwise                         | 0m01.27s || +0m00.05s\n0m01.30s | categories/Category/Prod                                           | 0m01.22s || +0m00.08s\n0m01.19s | categories/Limits/Core                                             | 0m01.25s || -0m00.06s\n0m01.11s | categories/NaturalTransformation/Composition/Laws                  | 0m01.18s || -0m00.06s\n0m01.11s | categories/Functor/Composition/Functorial/Core                     | 0m01.12s || -0m00.01s\n0m01.10s | categories/ExponentialLaws/Law1/Functors                           | 0m01.15s || -0m00.04s\n0m01.03s | categories/ExponentialLaws/Law  N/A                                | 0m01.14s || -0m00.10s\n0m01.02s | categories/Functor/Pointwise                                       | 0m01.11s || -0m00.09s\n0m01.02s | contrib/HoTTBookExercises                                          | 0m00.95s || +0m00.07s\n0m00.99s | categories/CategoryOfSections/Core                                 | 0m01.02s || -0m00.03s\n0m00.98s | hit/Spheres                                                        | 0m01.04s || -0m00.06s\n0m00.96s | hit/epi                                                            | 0m01.02s || -0m00.06s\n0m00.96s | categories/NaturalTransformation/Prod                              | 0m01.06s || -0m00.10s\n0m00.90s | categories/Functor/Prod                                            | 0m00.94s || -0m00.03s\n0m00.86s | types/Paths                                                        | 0m00.82s || +0m00.04s\n0m00.77s | categories/SetCategory/Morphisms                                   | 0m00.83s || -0m00.05s\n0m00.71s | types/Universe                                                     | 0m00.66s || +0m00.04s\n  N/A    | contrib/HoTTBook                                                   | 0m00.69s || -0m00.69s\n0m00.66s | categories/NaturalTransformation/Sum                               | 0m00.59s || +0m00.07s\n0m00.65s | categories/NaturalTransformation/Composition/Core                  | 0m00.62s || +0m00.03s\n0m00.64s | UnivalenceImpliesFunext                                            | 0m00.61s || +0m00.03s\n0m00.63s | hit/Suspension                                                     | 0m00.70s || -0m00.06s\n0m00.62s | categories/InitialTerminalCategory                                 | 0m00.66s || -0m00.04s\n0m00.61s | types/Sum                                                          | 0m00.62s || -0m00.01s\n  N/A    | categories/categories                                              | 0m00.61s || -0m00.61s\n0m00.58s | Trunc                                                              | 0m00.58s || +0m00.00s\n0m00.56s | categories/Comma/Projection                                        | 0m00.59s || -0m00.02s\n0m00.55s | hit/quotient                                                       | 0m00.56s || -0m00.01s\n0m00.54s | Functorish                                                         | 0m00.62s || -0m00.07s\n0m00.52s | hit/Circle                                                         | 0m00.56s || -0m00.04s\n0m00.49s | categories/Limits/Functors                                         | 0m00.46s || +0m00.02s\n0m00.49s | categories/KanExtensions/Functors                                  | 0m00.52s || -0m00.03s\n0m00.46s | categories/Functor/Composition/Laws                                | 0m00.53s || -0m00.07s\n0m00.45s | categories/Cat/Core                                                | 0m00.40s || +0m00.04s\n0m00.44s | categories/ExponentialLaws/Law3/Functors                           | 0m00.42s || +0m00.02s\n0m00.44s | types/Forall                                                       | 0m00.39s || +0m00.04s\n0m00.43s | Tactics                                                            | 0m00.40s || +0m00.02s\n0m00.40s | categories/NaturalTransformation/Identity                          | 0m00.35s || +0m00.05s\n0m00.37s | Fibrations                                                         | 0m00.33s || +0m00.03s\n0m00.33s | categories/NaturalTransformation/Composition/Functorial            | 0m00.27s || +0m00.06s\n0m00.32s | categories/FundamentalPreGroupoidCategory                          | 0m00.37s || -0m00.04s\n0m00.32s | TruncType                                                          | 0m00.31s || +0m00.01s\n0m00.32s | categories/KanExtensions/Core                                      | 0m00.28s || +0m00.03s\n0m00.31s | categories/HomotopyPreCategory                                     | 0m00.37s || -0m00.06s\n0m00.28s | categories/IndiscreteCategory                                      | 0m00.35s || -0m00.06s\n0m00.28s | categories/Functor/Functor                                         | 0m00.26s || +0m00.02s\n0m00.28s | categories/Cat/Morphisms                                           | 0m00.32s || -0m00.03s\n0m00.27s | categories/Functor/Dual                                            | 0m00.32s || -0m00.04s\n0m00.27s | categories/Grothendieck/Grothendieck                               | 0m00.32s || -0m00.04s\n0m00.26s | categories/Utf8                                                    | 0m00.27s || -0m00.01s\n0m00.26s | categories/Adjoint/Adjoint                                         | 0m00.23s || +0m00.03s\n0m00.25s | categories/ExponentialLaws/ExponentialLaws                         | 0m00.24s || +0m00.01s\n0m00.24s | categories/Grothendieck/ToCat                                      | 0m00.19s || +0m00.04s\n0m00.24s | types/Arrow                                                        | 0m00.25s || -0m00.01s\n0m00.23s | categories/FunctorCategory/Utf8                                    | 0m00.21s || +0m00.02s\n0m00.23s | categories/Adjoint/Hom                                             | 0m00.24s || -0m00.00s\n0m00.22s | categories/SetCategory/Functors/Functors                           | 0m00.18s || +0m00.04s\n0m00.22s | categories/Category/Objects                                        | 0m00.25s || -0m00.03s\n0m00.22s | categories/Functor/Composition/Core                                | 0m00.25s || -0m00.03s\n0m00.22s | categories/Notations                                               | 0m00.22s || +0m00.00s\n0m00.21s | hit/minus1Trunc                                                    | 0m00.28s || -0m00.07s\n0m00.21s | categories/Functor/Utf8                                            | 0m00.20s || +0m00.00s\n0m00.20s | categories/DependentProduct                                        | 0m00.24s || -0m00.03s\n0m00.20s | categories/Functor/Composition/Functorial                          | 0m00.20s || +0m00.00s\n0m00.20s | categories/Limits/Limits                                           | 0m00.20s || +0m00.00s\n0m00.20s | categories/NaturalTransformation/NaturalTransformation             | 0m00.22s || -0m00.01s\n0m00.20s | categories/Functor/Prod/Prod                                       | 0m00.21s || -0m00.00s\n0m00.20s | categories/Functor/Composition/Composition                         | 0m00.20s || +0m00.00s\n0m00.20s | categories/FunctorCategory/FunctorCategory                         | 0m00.18s || +0m00.02s\n0m00.20s | types/Bool                                                         | 0m00.18s || +0m00.02s\n0m00.19s | categories/Comma/Comma                                             | 0m00.23s || -0m00.04s\n0m00.19s | categories/Functor/Notations                                       | 0m00.19s || +0m00.00s\n0m00.19s | categories/NatCategory                                             | 0m00.16s || +0m00.03s\n0m00.19s | categories/NaturalTransformation/Notations                         | 0m00.17s || +0m00.01s\n0m00.19s | FunextVarieties                                                    | 0m00.18s || +0m00.01s\n0m00.19s | categories/FunctorCategory/Core                                    | 0m00.21s || -0m00.01s\n0m00.18s | categories/Profunctor/Representable                                | 0m00.18s || +0m00.00s\n0m00.18s | categories/KanExtensions/KanExtensions                             | 0m00.16s || +0m00.01s\n0m00.18s | hit/iso                                                            | 0m00.19s || -0m00.01s\n0m00.18s | Modality                                                           | 0m00.19s || -0m00.01s\n0m00.18s | categories/Category/Category                                       | 0m00.18s || +0m00.00s\n0m00.18s | categories/Pseudofunctor/Pseudofunctor                             | 0m00.19s || -0m00.01s\n0m00.18s | categories/ExponentialLaws/Law2/Law2                               | 0m00.22s || -0m00.04s\n0m00.17s | Conjugation                                                        | 0m00.22s || -0m00.04s\n0m00.17s | categories/Comma/Utf8                                              | 0m00.15s || +0m00.02s\n0m00.17s | HoTT                                                               | 0m00.16s || +0m00.01s\n0m00.17s | categories/Adjoint/Composition/LawsTactic                          | 0m00.16s || +0m00.01s\n0m00.16s | categories/ExponentialLaws/Law3/Law3                               | 0m00.18s || -0m00.01s\n0m00.16s | categories/Adjoint/Identity                                        | 0m00.15s || +0m00.01s\n0m00.16s | categories/GroupoidCategory/Core                                   | 0m00.19s || -0m00.03s\n0m00.16s | categories/Adjoint/Composition/Composition                         | 0m00.15s || +0m00.01s\n0m00.16s | categories/ExponentialLaws/Law1/Law1                               | 0m00.17s || -0m00.01s\n0m00.16s | categories/NaturalTransformation/Utf8                              | 0m00.19s || -0m00.03s\n0m00.16s | categories/Profunctor/Utf8                                         | 0m00.13s || +0m00.03s\n0m00.15s | categories/Adjoint/Utf8                                            | 0m00.13s || +0m00.01s\n0m00.15s | categories/Category/Utf8                                           | 0m00.12s || +0m00.03s\n0m00.15s | categories/SetCategory/Core                                        | 0m00.14s || +0m00.00s\n0m00.15s | hit/unique_choice                                                  | 0m00.16s || -0m00.01s\n0m00.15s | categories/Adjoint/Notations                                       | 0m00.17s || -0m00.02s\n0m00.15s | categories/Category/Core                                           | 0m00.16s || -0m00.01s\n0m00.15s | types/Unit                                                         | 0m00.12s || +0m00.03s\n0m00.15s | Overture                                                           | 0m00.15s || +0m00.00s\n0m00.15s | hit/Truncations                                                    | 0m00.13s || +0m00.01s\n0m00.15s | categories/Category/Pi                                             | 0m00.19s || -0m00.04s\n0m00.14s | categories/Cat/Cat                                                 | 0m00.17s || -0m00.03s\n0m00.14s | categories/Profunctor/Core                                         | 0m00.12s || +0m00.02s\n0m00.14s | hit/Interval                                                       | 0m00.13s || +0m00.01s\n0m00.14s | categories/Profunctor/Profunctor                                   | 0m00.15s || -0m00.00s\n0m00.14s | categories/Comma/Notations                                         | 0m00.15s || -0m00.00s\n0m00.14s | hit/TwoSphere                                                      | 0m00.11s || +0m00.03s\n0m00.14s | Tests                                                              | 0m00.13s || +0m00.01s\n0m00.14s | categories/SetCategory/SetCategory                                 | 0m00.11s || +0m00.03s\n0m00.14s | categories/NaturalTransformation/Composition/Composition           | 0m00.12s || +0m00.02s\n0m00.14s | categories/Category/Sigma/Sigma                                    | 0m00.14s || +0m00.00s\n0m00.13s | Contractible                                                       | 0m00.11s || +0m00.02s\n0m00.13s | categories/Category/Dual                                           | 0m00.16s || -0m00.03s\n0m00.13s | categories/Structure/Structure                                     | 0m00.13s || +0m00.00s\n0m00.13s | Misc                                                               | 0m00.16s || -0m00.03s\n0m00.13s | categories/ExponentialLaws/Law4/Law4                               | 0m00.08s || +0m00.05s\n0m00.13s | categories/NaturalTransformation/Core                              | 0m00.15s || -0m00.01s\n0m00.12s | categories/Category/Notations                                      | 0m00.16s || -0m00.04s\n0m00.12s | categories/FunctorCategory/Notations                               | 0m00.11s || +0m00.00s\n0m00.12s | categories/CategoryOfSections/CategoryOfSections                   | 0m00.14s || -0m00.02s\n0m00.11s | categories/Profunctor/Notations                                    | 0m00.15s || -0m00.03s\n0m00.11s | categories/Category/Univalent                                      | 0m00.17s || -0m00.06s\n0m00.11s | categories/Category/Subcategory/Subcategory                        | 0m00.12s || -0m00.00s\n0m00.10s | categories/DiscreteCategory                                        | 0m00.14s || -0m00.04s\n0m00.10s | categories/Adjoint/Core                                            | 0m00.11s || -0m00.00s\n0m00.10s | categories/GroupoidCategory/GroupoidCategory                       | 0m00.12s || -0m00.01s\n0m00.10s | coq/Init/Peano                                                     | 0m00.13s || -0m00.03s\n0m00.10s | categories/Functor/Core                                            | 0m00.12s || -0m00.01s\n0m00.10s | categories/Category/Subcategory/Wide                               | 0m00.13s || -0m00.03s\n0m00.10s | Pointed                                                            | 0m00.08s || +0m00.02s\n0m00.10s | categories/Profunctor/Identity                                     | 0m00.15s || -0m00.04s\n0m00.10s | categories/Category/Subcategory/Full                               | 0m00.09s || +0m00.01s\n0m00.10s | categories/Structure/Utf8                                          | 0m00.12s || -0m00.01s\n0m00.09s | categories/Functor/Identity                                        | 0m00.09s || +0m00.00s\n0m00.09s | categories/Structure/Notations                                     | 0m00.14s || -0m00.05s\n0m00.09s | UnivalenceAxiom                                                    | 0m00.10s || -0m00.01s\n0m00.08s | categories/Category/Strict                                         | 0m00.07s || +0m00.00s\n0m00.08s | coq/Init/Specif                                                    | 0m00.08s || +0m00.00s\n0m00.08s | types/UniverseLevel                                                | 0m00.08s || +0m00.00s\n0m00.08s | coq/Init/Logic_Type                                                | 0m00.06s || +0m00.02s\n0m00.08s | categories/Functor/Pointwise/Pointwise                             | 0m00.12s || -0m00.03s\n0m00.07s | coq/Init/Datatypes                                                 | 0m00.06s || +0m00.01s\n0m00.07s | categories/PseudonaturalTransformation/PseudonaturalTransformation |   N/A    || +0m00.07s\n0m00.07s | FunextAxiom                                                        | 0m00.04s || +0m00.03s\n0m00.07s | types/Empty                                                        | 0m00.08s || -0m00.00s\n0m00.05s | coq/Program/Tactics                                                | 0m00.04s || +0m00.01s\n0m00.03s | coq/Init/Prelude                                                   | 0m00.04s || -0m00.01s\n0m00.03s | coq/Bool/Bool                                                      | 0m00.04s || -0m00.01s\n0m00.03s | coq/Init/Tactics                                                   | 0m00.05s || -0m00.02s\n0m00.02s | coq/Init/Notations                                                 | 0m00.03s || -0m00.00s\n0m00.02s | coq/Init/Logic                                                     | 0m00.03s || -0m00.00s","Jason Gross",true]],"size":1,"ref":"refs/heads/pseudonatural-transformation","head":"9445d78e8fe06229833b2803d4382236ba866de6"}