Port Exponential Law proofs from HoTT-categories

Unfortunately, they're pretty slow.

After     | File Name                                                          | Before   || Change
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18m09.42s | Total                                                              | 9m48.52s || +8m20.90s
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2m54.66s  | categories/ExponentialLaws/Law2/Law                                |    N/A   || +2m54.65s
2m46.03s  | categories/ExponentialLaws/Law4/Law                                |    N/A   || +2m46.03s
2m32.51s  | categories/ExponentialLaws/Law3/Law                                |    N/A   || +2m32.50s
1m49.01s  | categories/Comma/ProjectionFunctors                                | 1m46.51s || +0m02.50s
0m18.13s  | categories/Adjoint/UnitCounitCoercions                             | 0m16.09s || +0m02.03s
0m15.81s  | categories/FunctorCategory/Dual                                    | 0m18.06s || -0m02.24s
0m13.52s  | categories/Adjoint/Dual                                            | 0m11.27s || +0m02.25s
0m13.51s  | categories/Adjoint/Composition/Core                                | 0m11.40s || +0m02.10s
0m23.06s  | categories/Adjoint/HomCoercions                                    | 0m21.93s || +0m01.12s
0m13.07s  | categories/Pseudofunctor/Core                                      | 0m12.00s || +0m01.07s
0m12.02s  | categories/Adjoint/Composition/IdentityLaws                        | 0m10.38s || +0m01.63s
0m11.79s  | categories/Pseudofunctor/FromFunctor                               | 0m12.85s || -0m01.06s
0m09.82s  | categories/Yoneda                                                  | 0m11.02s || -0m01.19s
0m09.00s  | categories/ExponentialLaws/Law1/Law                                | 0m10.40s || -0m01.40s
0m04.56s  | categories/DualFunctor                                             | 0m05.83s || -0m01.27s
0m04.38s  | categories/Functor/Composition/Functorial/Attributes               | 0m02.80s || +0m01.58s
0m36.17s  | categories/Adjoint/Composition/AssociativityLaw                    | 0m35.56s || +0m00.60s
0m28.62s  | categories/Grothendieck/PseudofunctorToCat                         | 0m28.39s || +0m00.23s
0m16.67s  | categories/Comma/InducedFunctors                                   | 0m15.80s || +0m00.87s
0m16.64s  | categories/ExponentialLaws/Law4/Functors                           | 0m16.53s || +0m00.10s
0m15.99s  | categories/PseudonaturalTransformation/Core                        | 0m16.50s || -0m00.50s
0m13.09s  | categories/Functor/Pointwise/Properties                            | 0m12.90s || +0m00.18s
0m12.19s  | hit/Flattening                                                     | 0m12.33s || -0m00.14s
0m08.91s  | categories/UniversalProperties                                     | 0m09.78s || -0m00.86s
0m08.83s  | categories/Comma/Dual                                              | 0m09.03s || -0m00.19s
0m07.80s  | categories/Functor/Prod/Universal                                  | 0m08.47s || -0m00.67s
0m07.75s  | categories/GroupoidCategory/Morphisms                              | 0m07.77s || -0m00.01s
0m07.40s  | categories/Adjoint/Paths                                           | 0m06.51s || +0m00.89s
0m07.09s  | hit/Connectedness                                                  | 0m07.06s || +0m00.03s
0m06.52s  | categories/Adjoint/UnitCounit                                      | 0m06.51s || +0m00.00s
0m06.35s  | categories/Structure/IdentityPrinciple                             | 0m06.17s || +0m00.17s
0m06.25s  | categories/Functor/Paths                                           | 0m05.68s || +0m00.57s
0m05.60s  | categories/Category/Morphisms                                      | 0m05.76s || -0m00.16s
0m05.46s  | categories/Functor/Sum                                             | 0m05.22s || +0m00.24s
0m05.43s  | EquivalenceVarieties                                               | 0m05.45s || -0m00.02s
0m04.85s  | categories/ExponentialLaws/Law2/Functors                           | 0m05.41s || -0m00.56s
0m04.41s  | categories/Category/Sigma/OnMorphisms                              | 0m04.71s || -0m00.29s
0m04.04s  | categories/ProductLaws                                             | 0m03.81s || +0m00.23s
0m03.61s  | categories/Structure/Core                                          | 0m03.68s || -0m00.07s
0m03.34s  | types/ObjectClassifier                                             | 0m03.36s || -0m00.02s
0m03.07s  | types/Sigma                                                        | 0m02.99s || +0m00.07s
0m03.01s  | HSet                                                               | 0m02.98s || +0m00.02s
0m02.93s  | categories/Adjoint/UniversalMorphisms                              | 0m02.74s || +0m00.18s
0m02.90s  | categories/Functor/Prod/Functorial                                 | 0m03.47s || -0m00.57s
0m02.74s  | HProp                                                              | 0m02.75s || -0m00.00s
0m02.70s  | categories/FunctorCategory/Functorial                              | 0m02.67s || +0m00.03s
0m02.63s  | Equivalences                                                       | 0m02.59s || +0m00.04s
0m02.46s  | categories/Grothendieck/ToSet                                      | 0m02.47s || -0m00.01s
0m02.41s  | categories/Functor/Attributes                                      | 0m02.28s || +0m00.13s
0m02.23s  | categories/Category/Sum                                            | 0m02.16s || +0m00.06s
0m02.22s  | categories/Comma/Core                                              | 0m02.21s || +0m00.01s
0m02.12s  | categories/Category/Sigma/Core                                     | 0m02.06s || +0m00.06s
0m02.04s  | categories/NaturalTransformation/Isomorphisms                      | 0m01.96s || +0m00.08s
0m01.99s  | categories/NaturalTransformation/Dual                              | 0m01.86s || +0m00.12s
0m01.93s  | PathGroupoids                                                      | 0m02.05s || -0m00.11s
0m01.86s  | categories/HomFunctor                                              | 0m01.89s || -0m00.02s
0m01.86s  | types/Record                                                       | 0m01.92s || -0m00.05s
0m01.72s  | categories/FunctorCategory/Morphisms                               | 0m01.58s || +0m00.13s
0m01.53s  | categories/NaturalTransformation/Paths                             | 0m01.63s || -0m00.09s
0m01.28s  | types/Prod                                                         | 0m01.27s || +0m00.01s
0m01.28s  | categories/Category/Sigma/OnObjects                                | 0m01.32s || -0m00.04s
0m01.26s  | categories/NaturalTransformation/Pointwise                         | 0m01.32s || -0m00.06s
0m01.26s  | categories/Category/Prod                                           | 0m01.31s || -0m00.05s
0m01.25s  | categories/Limits/Core                                             | 0m01.23s || +0m00.02s
0m01.18s  | categories/NaturalTransformation/Composition/Laws                  | 0m01.19s || -0m00.01s
0m01.15s  | categories/NaturalTransformation/Prod                              | 0m00.96s || +0m00.18s
0m01.12s  | categories/ExponentialLaws/Law   N/A                               | 0m01.01s || +0m00.11s
0m01.10s  | categories/Functor/Composition/Functorial/Core                     | 0m01.76s || -0m00.65s
0m01.08s  | categories/Functor/Pointwise                                       | 0m01.10s || -0m00.02s
0m01.07s  | categories/CategoryOfSections/Core                                 | 0m01.03s || +0m00.04s
0m01.06s  | categories/ExponentialLaws/Law1/Functors                           | 0m01.11s || -0m00.05s
0m01.02s  | contrib/HoTTBookExercises                                          | 0m00.92s || +0m00.09s
0m00.88s  | hit/epi                                                            | 0m00.94s || -0m00.05s
0m00.86s  | hit/Spheres                                                        | 0m00.92s || -0m00.06s
0m00.85s  | categories/Functor/Prod                                            | 0m00.86s || -0m00.01s
0m00.83s  | types/Paths                                                        | 0m00.86s || -0m00.03s
0m00.80s  | categories/SetCategory/Morphisms                                   | 0m00.80s || +0m00.00s
0m00.77s  | contrib/HoTTBook                                                   | 0m00.73s || +0m00.04s
0m00.72s  | hit/Suspension                                                     | 0m00.68s || +0m00.03s
0m00.70s  | types/Sum                                                          | 0m00.63s || +0m00.06s
0m00.70s  | categories/categories                                              | 0m00.62s || +0m00.07s
0m00.68s  | categories/InitialTerminalCategory                                 | 0m00.68s || +0m00.00s
0m00.64s  | Trunc                                                              | 0m00.66s || -0m00.02s
0m00.64s  | categories/NaturalTransformation/Composition/Core                  | 0m00.69s || -0m00.04s
0m00.63s  | UnivalenceImpliesFunext                                            | 0m00.59s || +0m00.04s
0m00.63s  | types/Universe                                                     | 0m00.66s || -0m00.03s
0m00.58s  | categories/NaturalTransformation/Sum                               | 0m00.60s || -0m00.02s
0m00.57s  | categories/Functor/Composition/Laws                                | 0m00.56s || +0m00.00s
0m00.55s  | hit/Circle                                                         | 0m00.55s || +0m00.00s
0m00.52s  | categories/Comma/Projection                                        | 0m00.58s || -0m00.05s
0m00.51s  | Functorish                                                         | 0m00.51s || +0m00.00s
0m00.50s  | categories/Limits/Functors                                         | 0m00.48s || +0m00.02s
0m00.50s  | hit/quotient                                                       | 0m00.54s || -0m00.04s
0m00.49s  | categories/ExponentialLaws/Law3/Functors                           | 0m00.44s || +0m00.04s
0m00.46s  | Tactics                                                            | 0m00.45s || +0m00.01s
0m00.46s  | categories/KanExtensions/Functors                                  | 0m00.53s || -0m00.07s
0m00.44s  | categories/Cat/Core                                                | 0m00.42s || +0m00.02s
0m00.44s  | types/Forall                                                       | 0m00.40s || +0m00.03s
0m00.40s  | categories/NaturalTransformation/Identity                          | 0m00.41s || -0m00.00s
0m00.38s  | categories/FundamentalPreGroupoidCategory                          | 0m00.32s || +0m00.06s
0m00.37s  | Fibrations                                                         | 0m00.37s || +0m00.00s
0m00.34s  | categories/Functor/Functor                                         | 0m00.30s || +0m00.04s
0m00.33s  | TruncType                                                          | 0m00.31s || +0m00.02s
0m00.32s  | categories/ExponentialLaws/ExponentialLaws                         | 0m00.30s || +0m00.02s
0m00.32s  | categories/Functor/Dual                                            | 0m00.29s || +0m00.03s
0m00.30s  | categories/HomotopyPreCategory                                     | 0m00.35s || -0m00.04s
0m00.30s  | categories/KanExtensions/Core                                      | 0m00.31s || -0m00.01s
0m00.29s  | categories/IndiscreteCategory                                      | 0m00.31s || -0m00.02s
0m00.29s  | categories/Cat/Morphisms                                           | 0m00.32s || -0m00.03s
0m00.29s  | categories/Grothendieck/Grothendieck                               | 0m00.29s || +0m00.00s
0m00.28s  | categories/NaturalTransformation/Composition/Functorial            | 0m00.28s || +0m00.00s
0m00.27s  | categories/Adjoint/Adjoint                                         | 0m00.23s || +0m00.04s
0m00.26s  | categories/Utf8                                                    | 0m00.30s || -0m00.03s
0m00.26s  | hit/minus1Trunc                                                    | 0m00.28s || -0m00.02s
0m00.26s  | types/Arrow                                                        | 0m00.28s || -0m00.02s
0m00.26s  | categories/Pseudofunctor/Pseudofunctor                             | 0m00.20s || +0m00.06s
0m00.25s  | categories/Functor/Composition/Composition                         | 0m00.20s || +0m00.04s
0m00.25s  | categories/Functor/Composition/Core                                | 0m00.25s || +0m00.00s
0m00.25s  | categories/Notations                                               | 0m00.24s || +0m00.01s
0m00.24s  | categories/Functor/Utf8                                            | 0m00.20s || +0m00.03s
0m00.23s  | categories/SetCategory/Functors/Functors                           | 0m00.20s || +0m00.03s
0m00.22s  | categories/DependentProduct                                        | 0m00.21s || +0m00.01s
0m00.22s  | categories/FunctorCategory/Utf8                                    | 0m00.18s || +0m00.04s
0m00.22s  | categories/Functor/Prod/Prod                                       | 0m00.20s || +0m00.01s
0m00.22s  | categories/Grothendieck/ToCat                                      | 0m00.18s || +0m00.04s
0m00.22s  | categories/Functor/Notations                                       | 0m00.19s || +0m00.03s
0m00.22s  | types/Bool                                                         | 0m00.19s || +0m00.03s
0m00.21s  | Conjugation                                                        | 0m00.16s || +0m00.04s
0m00.21s  | categories/Functor/Composition/Functorial                          | 0m00.17s || +0m00.03s
0m00.21s  | categories/KanExtensions/KanExtensions                             | 0m00.18s || +0m00.03s
0m00.21s  | categories/Comma/Comma                                             | 0m00.18s || +0m00.03s
0m00.21s  | categories/Category/Objects                                        | 0m00.29s || -0m00.07s
0m00.20s  | categories/Comma/Utf8                                              | 0m00.24s || -0m00.03s
0m00.20s  | categories/NaturalTransformation/NaturalTransformation             | 0m00.22s || -0m00.01s
0m00.20s  | categories/Adjoint/Hom                                             | 0m00.23s || -0m00.03s
0m00.20s  | categories/GroupoidCategory/Core                                   | 0m00.15s || +0m00.05s
0m00.20s  | categories/NaturalTransformation/Utf8                              | 0m00.16s || +0m00.04s
0m00.19s  | categories/Limits/Limits                                           | 0m00.18s || +0m00.01s
0m00.19s  | Modality                                                           | 0m00.19s || +0m00.00s
0m00.19s  | categories/Category/Category                                       | 0m00.14s || +0m00.04s
0m00.19s  | FunextVarieties                                                    | 0m00.17s || +0m00.01s
0m00.18s  | categories/ExponentialLaws/Law3/Law3                               | 0m00.16s || +0m00.01s
0m00.18s  | HoTT                                                               | 0m00.20s || -0m00.02s
0m00.18s  | categories/Adjoint/Notations                                       | 0m00.14s || +0m00.03s
0m00.18s  | categories/NatCategory                                             | 0m00.16s || +0m00.01s
0m00.18s  | categories/PseudonaturalTransformation/PseudonaturalTransformation | 0m00.18s || +0m00.00s
0m00.18s  | categories/ExponentialLaws/Law1/Law1                               | 0m00.15s || +0m00.03s
0m00.18s  | categories/Category/Pi                                             | 0m00.19s || -0m00.01s
0m00.17s  | categories/Profunctor/Representable                                | 0m00.16s || +0m00.01s
0m00.17s  | hit/iso                                                            | 0m00.22s || -0m00.04s
0m00.17s  | categories/Adjoint/Composition/LawsTactic                          | 0m00.11s || +0m00.06s
0m00.16s  | categories/Adjoint/Utf8                                            | 0m00.15s || +0m00.01s
0m00.16s  | categories/Adjoint/Composition/Composition                         | 0m00.18s || -0m00.01s
0m00.16s  | categories/NaturalTransformation/Notations                         | 0m00.23s || -0m00.07s
0m00.16s  | hit/TwoSphere                                                      | 0m00.14s || +0m00.01s
0m00.16s  | categories/SetCategory/SetCategory                                 | 0m00.12s || +0m00.04s
0m00.16s  | categories/ExponentialLaws/Law2/Law2                               | 0m00.17s || -0m00.01s
0m00.16s  | Overture                                                           | 0m00.16s || +0m00.00s
0m00.15s  | categories/Category/Dual                                           | 0m00.12s || +0m00.03s
0m00.15s  | categories/Adjoint/Identity                                        | 0m00.13s || +0m00.01s
0m00.15s  | categories/NaturalTransformation/Core                              | 0m00.14s || +0m00.00s
0m00.15s  | categories/FunctorCategory/Core                                    | 0m00.19s || -0m00.04s
0m00.14s  | categories/Adjoint/Core                                            | 0m00.12s || +0m00.02s
0m00.14s  | categories/Cat/Cat                                                 | 0m00.16s || -0m00.01s
0m00.14s  | categories/SetCategory/Core                                        | 0m00.12s || +0m00.02s
0m00.14s  | Misc                                                               | 0m00.14s || +0m00.00s
0m00.14s  | categories/FunctorCategory/FunctorCategory                         | 0m00.18s || -0m00.03s
0m00.14s  | hit/unique_choice                                                  | 0m00.11s || +0m00.03s
0m00.14s  | categories/Profunctor/Profunctor                                   | 0m00.17s || -0m00.03s
0m00.14s  | categories/Comma/Notations                                         | 0m00.16s || -0m00.01s
0m00.14s  | categories/Structure/Notations                                     | 0m00.09s || +0m00.05s
0m00.14s  | categories/Profunctor/Identity                                     | 0m00.12s || +0m00.02s
0m00.13s  | categories/DiscreteCategory                                        | 0m00.11s || +0m00.02s
0m00.13s  | categories/Category/Utf8                                           | 0m00.10s || +0m00.03s
0m00.13s  | categories/Category/Subcategory/Subcategory                        | 0m00.13s || +0m00.00s
0m00.13s  | types/Unit                                                         | 0m00.15s || -0m00.01s
0m00.13s  | categories/Profunctor/Utf8                                         | 0m00.16s || -0m00.03s
0m00.12s  | categories/Profunctor/Core                                         | 0m00.15s || -0m00.03s
0m00.12s  | categories/Profunctor/Notations                                    | 0m00.17s || -0m00.05s
0m00.12s  | coq/Init/Peano                                                     | 0m00.10s || +0m00.01s
0m00.12s  | categories/ExponentialLaws/Law4/Law4                               | 0m00.10s || +0m00.01s
0m00.12s  | categories/Category/Core                                           | 0m00.14s || -0m00.02s
0m00.12s  | categories/NaturalTransformation/Composition/Composition           | 0m00.10s || +0m00.01s
0m00.12s  | categories/FunctorCategory/Notations                               | 0m00.12s || +0m00.00s
0m00.12s  | categories/CategoryOfSections/CategoryOfSections                   | 0m00.08s || +0m00.03s
0m00.11s  | categories/GroupoidCategory/GroupoidCategory                       | 0m00.12s || -0m00.00s
0m00.11s  | hit/Interval                                                       | 0m00.15s || -0m00.03s
0m00.11s  | categories/Category/Univalent                                      | 0m00.14s || -0m00.03s
0m00.11s  | Tests                                                              | 0m00.11s || +0m00.00s
0m00.11s  | categories/Category/Notations                                      | 0m00.12s || -0m00.00s
0m00.11s  | UnivalenceAxiom                                                    | 0m00.11s || +0m00.00s
0m00.11s  | categories/Category/Subcategory/Full                               | 0m00.15s || -0m00.03s
0m00.10s  | Contractible                                                       | 0m00.12s || -0m00.01s
0m00.10s  | categories/Structure/Structure                                     | 0m00.10s || +0m00.00s
0m00.10s  | categories/Functor/Core                                            | 0m00.13s || -0m00.03s
0m00.10s  | categories/Category/Subcategory/Wide                               | 0m00.10s || +0m00.00s
0m00.10s  | categories/Category/Sigma/Sigma                                    | 0m00.14s || -0m00.04s
0m00.10s  | categories/Functor/Pointwise/Pointwise                             | 0m00.13s || -0m00.03s
0m00.10s  | categories/Structure/Utf8                                          | 0m00.12s || -0m00.01s
0m00.10s  | hit/Truncations                                                    | 0m00.13s || -0m00.03s
0m00.08s  | categories/Category/Strict                                         | 0m00.07s || +0m00.00s
0m00.08s  | types/UniverseLevel                                                | 0m00.07s || +0m00.00s
0m00.08s  | Pointed                                                            | 0m00.06s || +0m00.02s
0m00.07s  | categories/Functor/Identity                                        | 0m00.07s || +0m00.00s
0m00.07s  | FunextAxiom                                                        | 0m00.08s || -0m00.00s
0m00.06s  | coq/Init/Datatypes                                                 | 0m00.05s || +0m00.00s
0m00.06s  | coq/Init/Specif                                                    | 0m00.06s || +0m00.00s
0m00.06s  | coq/Program/Tactics                                                | 0m00.05s || +0m00.00s
0m00.06s  | types/Empty                                                        | 0m00.07s || -0m00.01s
0m00.04s  | coq/Init/Logic_Type                                                | 0m00.06s || -0m00.01s
0m00.03s  | coq/Init/Logic                                                     | 0m00.04s || -0m00.01s
0m00.03s  | coq/Init/Prelude                                                   | 0m00.03s || +0m00.00s
0m00.03s  | coq/Init/Tactics                                                   | 0m00.02s || +0m00.00s
0m00.02s  | coq/Init/Notations                                                 | 0m00.04s || -0m00.02s
0m00.02s  | coq/Bool/Bool                                                      | 0m00.05s || -0m00.03s