Add some more synonyms of [apD10_path_forall] for rewriting
Port pointwise adjunctions from catdb

Unfortunately, it's very, very, very, very slow.

After     | File Name                                                | Before
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24m23.04s | Total                                                    | 8m10.42s
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15m56.38s | categories/Adjoint/Pointwise                             |   N/A
2m04.39s  | categories/Comma/ProjectionFunctors                      | 1m51.41s
0m34.88s  | categories/Adjoint/Composition/AssociativityLaw          | 0m33.09s
0m24.12s  | categories/Grothendieck/PseudofunctorToCat               | 0m24.46s
0m18.14s  | categories/ExponentialLaws/Law4/Functors                 | 0m17.29s
0m17.38s  | categories/Adjoint/UnitCounitCoercions                   | 0m16.98s
0m16.26s  | categories/Comma/InducedFunctors                         | 0m15.88s
0m13.14s  | categories/Pseudofunctor/Core                            | 0m12.65s
0m13.04s  | hit/Flattening                                           | 0m13.49s
0m12.60s  | categories/Adjoint/Composition/Core                      | 0m12.14s
0m12.11s  | categories/Functor/Pointwise/Properties                  | 0m12.86s
0m12.04s  | categories/Adjoint/Dual                                  | 0m12.15s
0m11.10s  | categories/Pseudofunctor/FromFunctor                     | 0m10.78s
0m11.01s  | categories/Adjoint/Composition/IdentityLaws              | 0m11.34s
0m08.40s  | categories/ExponentialLaws/Law1/Law                      | 0m08.11s
0m08.23s  | categories/GroupoidCategory/Morphisms                    | 0m08.05s
0m08.18s  | categories/Functor/Prod/Universal                        | 0m08.66s
0m07.55s  | hit/Connectedness                                        | 0m07.81s
0m06.77s  | categories/Adjoint/Paths                                 | 0m06.65s
0m06.60s  | categories/UniversalProperties                           | 0m06.52s
0m06.24s  | categories/Comma/Dual                                    | 0m06.22s
0m06.03s  | categories/Category/Morphisms                            | 0m05.80s
0m05.96s  | categories/Functor/Paths                                 | 0m05.87s
0m05.84s  | categories/Functor/Sum                                   | 0m05.91s
0m05.57s  | categories/Adjoint/UnitCounit                            | 0m05.66s
0m05.32s  | categories/DualFunctor                                   | 0m05.26s
0m05.20s  | EquivalenceVarieties                                     | 0m05.09s
0m05.07s  | categories/ExponentialLaws/Law2/Functors                 | 0m05.02s
0m04.20s  | categories/Category/Sigma/OnMorphisms                    | 0m04.46s
0m03.75s  | types/ObjectClassifier                                   | 0m03.65s
0m03.58s  | categories/ProductLaws                                   | 0m03.95s
0m03.08s  | types/Sigma                                              | 0m02.99s
0m02.93s  | categories/Functor/Prod/Functorial                       | 0m02.91s
0m02.78s  | categories/Adjoint/UniversalMorphisms                    | 0m02.80s
0m02.56s  | categories/FunctorCategory/Functorial                    | 0m02.59s
0m02.55s  | Equivalences                                             | 0m02.58s
0m02.52s  | categories/Grothendieck/ToSet                            | 0m02.55s
0m02.37s  | categories/Category/Sum                                  | 0m02.17s
0m02.27s  | categories/Functor/Attributes                            | 0m02.19s
0m02.15s  | categories/Comma/Core                                    | 0m02.05s
0m02.14s  | categories/Category/Sigma/Core                           | 0m02.06s
0m01.91s  | PathGroupoids                                            | 0m01.93s
0m01.88s  | categories/NaturalTransformation/Dual                    | 0m01.83s
0m01.87s  | categories/HomFunctor                                    | 0m01.76s
0m01.81s  | categories/NaturalTransformation/Isomorphisms            | 0m01.83s
0m01.70s  | categories/FunctorCategory/Morphisms                     | 0m01.65s
0m01.65s  | categories/NaturalTransformation/Composition/Laws        | 0m01.73s
0m01.59s  | categories/NaturalTransformation/Paths                   | 0m01.64s
0m01.43s  | categories/NaturalTransformation/Pointwise               | 0m01.32s
0m01.35s  | categories/NaturalTransformation/Composition/Core        | 0m01.30s
0m01.33s  | categories/Category/Sigma/OnObjects                      | 0m01.44s
0m01.29s  | types/Prod                                               | 0m01.30s
0m01.29s  | categories/Category/Prod                                 | 0m01.36s
0m01.17s  | categories/NaturalTransformation/Composition/Functorial  | 0m01.28s
0m01.13s  | categories/Limits/Core                                   | 0m01.17s
0m01.10s  | categories/ExponentialLaws/Law   N/A                     | 0m01.00s
0m01.04s  | categories/NaturalTransformation/Prod                    | 0m01.03s
0m01.02s  | categories/Functor/Pointwise                             | 0m01.06s
0m01.02s  | categories/CategoryOfSections/Core                       | 0m00.99s
0m01.02s  | categories/ExponentialLaws/Law1/Functors                 | 0m01.06s
0m00.92s  | categories/Functor/Prod                                  | 0m00.96s
0m00.90s  | hit/Spheres                                              | 0m01.00s
0m00.86s  | hit/epi                                                  | 0m00.87s
0m00.82s  | categories/Functor/Composition/Functorial                | 0m00.95s
0m00.82s  | Trunc                                                    | 0m00.82s
0m00.80s  | types/Paths                                              | 0m00.84s
0m00.67s  | categories/InitialTerminalCategory                       | 0m00.60s
0m00.66s  | types/Universe                                           | 0m00.61s
0m00.62s  | categories/KanExtensions/Core                            | 0m00.68s
0m00.59s  | hit/quotient                                             | 0m00.56s
0m00.58s  | types/Sum                                                | 0m00.59s
0m00.58s  | categories/Comma/Projection                              | 0m00.52s
0m00.55s  | Functorish                                               | 0m00.58s
0m00.55s  | categories/Functor/Composition/Laws                      | 0m00.49s
0m00.54s  | categories/NaturalTransformation/Sum                     | 0m00.54s
0m00.53s  | hit/Suspension                                           | 0m00.53s
0m00.52s  | categories/categories                                    | 0m00.53s
0m00.50s  | hit/Circle                                               | 0m00.45s
0m00.49s  | categories/ExponentialLaws/Law3/Functors                 | 0m00.44s
0m00.48s  | types/Record                                             | 0m00.50s
0m00.45s  | Tactics                                                  | 0m00.41s
0m00.44s  | categories/Limits/Functors                               | 0m00.45s
0m00.43s  | types/Forall                                             | 0m00.42s
0m00.41s  | HSet                                                     | 0m00.38s
0m00.41s  | categories/KanExtensions/Functors                        | 0m00.43s
0m00.40s  | categories/Cat/Core                                      | 0m00.40s
0m00.40s  | categories/Functor/Functor                               | 0m00.33s
0m00.38s  | HProp                                                    | 0m00.39s
0m00.36s  | categories/IndiscreteCategory                            | 0m00.30s
0m00.34s  | Fibrations                                               | 0m00.34s
0m00.32s  | categories/Functor/Dual                                  | 0m00.25s
0m00.32s  | TruncType                                                | 0m00.38s
0m00.32s  | hit/minus1Trunc                                          | 0m00.30s
0m00.30s  | categories/ExponentialLaws/ExponentialLaws               | 0m00.26s
0m00.30s  | Misc                                                     | 0m00.29s
0m00.29s  | categories/NaturalTransformation/Identity                | 0m00.29s
0m00.29s  | categories/Cat/Morphisms                                 | 0m00.25s
0m00.26s  | categories/Grothendieck/Grothendieck                     | 0m00.27s
0m00.25s  | categories/Utf8                                          | 0m00.23s
0m00.25s  | categories/Functor/Composition/Core                      | 0m00.25s
0m00.24s  | categories/Adjoint/Adjoint                               | 0m00.18s
0m00.23s  | types/Arrow                                              | 0m00.25s
0m00.22s  | categories/Functor/Prod/Prod                             | 0m00.19s
0m00.22s  | categories/Grothendieck/ToCat                            | 0m00.25s
0m00.22s  | categories/Category/Objects                              | 0m00.26s
0m00.21s  | Conjugation                                              | 0m00.22s
0m00.21s  | categories/Comma/Comma                                   | 0m00.18s
0m00.20s  | categories/NaturalTransformation/NaturalTransformation   | 0m00.18s
0m00.20s  | categories/GroupoidCategory/Core                         | 0m00.18s
0m00.20s  | categories/NatCategory                                   | 0m00.19s
0m00.20s  | categories/NaturalTransformation/Utf8                    | 0m00.15s
0m00.19s  | categories/SetCategory/Functors/Functors                 | 0m00.22s
0m00.19s  | categories/Notations                                     | 0m00.22s
0m00.18s  | categories/DependentProduct                              | 0m00.20s
0m00.18s  | categories/Adjoint/Utf8                                  | 0m00.15s
0m00.18s  | categories/FunctorCategory/Core                          | 0m00.18s
0m00.17s  | categories/KanExtensions/KanExtensions                   | 0m00.12s
0m00.17s  | hit/iso                                                  | 0m00.17s
0m00.17s  | categories/Category/Dual                                 | 0m00.15s
0m00.17s  | categories/FunctorCategory/FunctorCategory               | 0m00.16s
0m00.17s  | categories/ExponentialLaws/Law1/Law1                     | 0m00.18s
0m00.16s  | categories/Limits/Limits                                 | 0m00.14s
0m00.16s  | categories/Cat/Cat                                       | 0m00.16s
0m00.16s  | categories/Adjoint/Notations                             | 0m00.15s
0m00.16s  | categories/Adjoint/Composition/Composition               | 0m00.17s
0m00.16s  | categories/Functor/Utf8                                  | 0m00.12s
0m00.16s  | categories/NaturalTransformation/Notations               | 0m00.14s
0m00.16s  | FunextVarieties                                          | 0m00.19s
0m00.16s  | categories/ExponentialLaws/Law2/Law2                     | 0m00.13s
0m00.16s  | Overture                                                 | 0m00.14s
0m00.15s  | categories/Comma/Utf8                                    | 0m00.16s
0m00.15s  | contrib/HoTTBook                                         | 0m00.12s
0m00.15s  | hit/unique_choice                                        | 0m00.18s
0m00.15s  | categories/Category/Category                             | 0m00.14s
0m00.15s  | categories/Functor/Composition/Composition               | 0m00.15s
0m00.14s  | categories/ExponentialLaws/Law3/Law3                     | 0m00.18s
0m00.14s  | categories/FunctorCategory/Utf8                          | 0m00.14s
0m00.14s  | hit/Interval                                             | 0m00.14s
0m00.14s  | categories/SetCategory/Core                              | 0m00.13s
0m00.14s  | categories/Adjoint/Identity                              | 0m00.13s
0m00.14s  | categories/Functor/Notations                             | 0m00.14s
0m00.14s  | categories/Category/Core                                 | 0m00.12s
0m00.14s  | categories/Category/Notations                            | 0m00.20s
0m00.14s  | categories/NaturalTransformation/Composition/Composition | 0m00.12s
0m00.13s  | Contractible                                             | 0m00.12s
0m00.13s  | categories/Profunctor/Profunctor                         | 0m00.11s
0m00.13s  | categories/Comma/Notations                               | 0m00.16s
0m00.13s  | categories/NaturalTransformation/Core                    | 0m00.16s
0m00.13s  | categories/Profunctor/Representable                      | 0m00.14s
0m00.13s  | categories/Pseudofunctor/Pseudofunctor                   | 0m00.17s
0m00.13s  | categories/Profunctor/Identity                           | 0m00.13s
0m00.13s  | categories/Category/Sigma/Sigma                          | 0m00.14s
0m00.13s  | categories/Functor/Pointwise/Pointwise                   | 0m00.09s
0m00.13s  | categories/Adjoint/Composition/LawsTactic                | 0m00.13s
0m00.12s  | categories/DiscreteCategory                              | 0m00.09s
0m00.12s  | categories/Category/Utf8                                 | 0m00.09s
0m00.12s  | categories/Profunctor/Core                               | 0m00.10s
0m00.12s  | HoTT                                                     | 0m00.13s
0m00.12s  | categories/Category/Univalent                            | 0m00.13s
0m00.12s  | types/Bool                                               | 0m00.12s
0m00.12s  | categories/SetCategory/SetCategory                       | 0m00.10s
0m00.12s  | hit/Truncations                                          | 0m00.10s
0m00.12s  | categories/Profunctor/Utf8                               | 0m00.12s
0m00.11s  | categories/Adjoint/Core                                  | 0m00.12s
0m00.11s  | categories/Profunctor/Notations                          | 0m00.14s
0m00.11s  | categories/Functor/Core                                  | 0m00.11s
0m00.11s  | types/Unit                                               | 0m00.11s
0m00.11s  | categories/FunctorCategory/Notations                     | 0m00.11s
0m00.11s  | categories/CategoryOfSections/CategoryOfSections         | 0m00.13s
0m00.10s  | categories/GroupoidCategory/GroupoidCategory             | 0m00.12s
0m00.10s  | categories/Category/Subcategory/Wide                     | 0m00.11s
0m00.10s  | Pointed                                                  | 0m00.10s
0m00.10s  | categories/Category/Subcategory/Full                     | 0m00.12s
0m00.09s  | categories/Functor/Identity                              | 0m00.08s
0m00.09s  | categories/ExponentialLaws/Law4/Law4                     | 0m00.12s
0m00.09s  | categories/Category/Subcategory/Subcategory              | 0m00.09s
0m00.09s  | UnivalenceAxiom                                          | 0m00.09s
0m00.08s  | categories/Category/Strict                               | 0m00.08s
0m00.08s  | coq/Init/Peano                                           | 0m00.11s
0m00.08s  | FunextAxiom                                              | 0m00.07s
0m00.08s  | types/Empty                                              | 0m00.07s
0m00.07s  | coq/Init/Specif                                          | 0m00.06s
0m00.06s  | coq/Init/Notations                                       | 0m00.04s
0m00.06s  | coq/Init/Logic_Type                                      | 0m00.07s
0m00.05s  | coq/Init/Datatypes                                       | 0m00.07s
0m00.05s  | coq/Program/Tactics                                      | 0m00.06s
0m00.04s  | coq/Init/Logic                                           | 0m00.02s
0m00.04s  | coq/Bool/Bool                                            | 0m00.01s
0m00.03s  | coq/Init/Prelude                                         | 0m00.03s
0m00.03s  | coq/Init/Tactics                                         | 0m00.02s