Make separate folder for Composition

This way, we can do Composition.Functorial.
Don't auto-include composition laws
Port the fact that composition is functorial

In particular, composition of functors or natural transformations.

After    | File Name                                                | Before
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3m59.82s | Total                                                    | 3m56.49s
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0m27.01s | categories/Comma/Dual                                    | 0m27.47s
0m17.30s | categories/ExponentialLaws/Law4/Functors                 | 0m17.46s
0m16.98s | categories/Functor/Paths                                 | 0m15.76s
0m14.97s | categories/ExponentialLaws/Law1/Law                      | 0m14.58s
0m12.81s | hit/Flattening                                           | 0m12.81s
0m09.98s | categories/Comma/InducedFunctors                         | 0m10.12s
0m09.97s | categories/Functor/Pointwise/Properties                  | 0m09.73s
0m08.38s | categories/Functor/Prod/Universal                        | 0m08.28s
0m07.89s | categories/GroupoidCategory/Morphisms                    | 0m07.81s
0m07.56s | hit/Connectedness                                        | 0m07.26s
0m06.54s | categories/UniversalProperties                           | 0m06.50s
0m05.74s | categories/Functor/Sum                                   | 0m05.99s
0m05.59s | categories/Category/Morphisms                            | 0m05.71s
0m05.12s | EquivalenceVarieties                                     | 0m05.08s
0m04.90s | categories/ExponentialLaws/Law2/Functors                 | 0m05.04s
0m04.15s | categories/Category/Sigma/OnMorphisms                    | 0m04.14s
0m03.79s | categories/ProductLaws                                   | 0m04.16s
0m03.63s | types/ObjectClassifier                                   | 0m03.61s
0m03.11s | types/Sigma                                              | 0m03.06s
0m02.92s | categories/Functor/Prod/Functorial                       | 0m03.18s
0m02.60s | categories/FunctorCategory/Functorial                    | 0m02.52s
0m02.56s | Equivalences                                             | 0m02.57s
0m02.44s | categories/Functor/Attributes                            | 0m02.33s
0m02.13s | categories/Category/Sum                                  | 0m02.26s
0m01.99s | categories/Category/Sigma/Core                           | 0m01.93s
0m01.94s | PathGroupoids                                            | 0m02.02s
0m01.91s | categories/NaturalTransformation/Dual                    | 0m01.84s
0m01.76s | categories/HomFunctor                                    | 0m01.82s
0m01.76s | categories/NaturalTransformation/Composition/Laws        | 0m01.73s
0m01.63s | categories/NaturalTransformation/Paths                   | 0m01.65s
0m01.62s | categories/Comma/Core                                    | 0m01.67s
0m01.59s | categories/FunctorCategory/Morphisms                     | 0m01.62s
0m01.46s | categories/Category/Sigma/OnObjects                      | 0m01.45s
0m01.33s | categories/Category/Prod                                 | 0m01.42s
0m01.31s | categories/NaturalTransformation/Composition/Core        | 0m01.29s
0m01.26s | types/Prod                                               | 0m01.25s
0m01.25s | categories/NaturalTransformation/Composition/Functorial  |   N/A
0m01.07s | categories/Functor/Prod                                  | 0m00.91s
0m01.02s | categories/NaturalTransformation/Prod                    | 0m00.98s
0m01.02s | categories/Functor/Pointwise                             | 0m01.09s
0m01.02s | categories/ExponentialLaws/Law1/Functors                 | 0m00.95s
0m01.00s | categories/ExponentialLaws/Law  N/A                      | 0m00.95s
0m00.96s | hit/epi                                                  | 0m00.88s
0m00.93s | hit/Spheres                                              | 0m00.92s
0m00.87s | categories/Functor/Composition/Functorial                |   N/A
0m00.84s | Trunc                                                    | 0m00.81s
0m00.81s | types/Paths                                              | 0m00.85s
0m00.81s | categories/Comma/Projection                              | 0m00.68s
0m00.67s | categories/InitialTerminalCategory                       | 0m00.67s
0m00.66s | types/Universe                                           | 0m00.61s
0m00.58s | hit/quotient                                             | 0m00.52s
0m00.56s | types/Sum                                                | 0m00.64s
0m00.55s | Functorish                                               | 0m00.65s
0m00.54s | hit/Circle                                               | 0m00.52s
0m00.54s | categories/NaturalTransformation/Sum                     | 0m00.51s
0m00.50s | types/Record                                             | 0m00.47s
0m00.50s | categories/Functor/Composition/Laws                      | 0m00.48s
0m00.48s | HProp                                                    | 0m00.45s
0m00.48s | hit/Suspension                                           | 0m00.48s
0m00.42s | Tactics                                                  | 0m00.39s
0m00.42s | HSet                                                     | 0m00.36s
0m00.41s | categories/ExponentialLaws/Law3/Functors                 | 0m00.42s
0m00.40s | categories/Cat/Core                                      | 0m00.44s
0m00.40s | types/Forall                                             | 0m00.48s
0m00.39s | Fibrations                                               | 0m00.36s
0m00.37s | categories/Functor/Functor                               | 0m00.32s
0m00.35s | categories/categories                                    | 0m00.37s
0m00.35s | TruncType                                                | 0m00.35s
0m00.31s | hit/minus1Trunc                                          | 0m00.31s
0m00.29s | categories/NaturalTransformation/Identity                | 0m00.28s
0m00.28s | categories/IndiscreteCategory                            | 0m00.28s
0m00.27s | Misc                                                     | 0m00.25s
0m00.26s | categories/Cat/Morphisms                                 | 0m00.27s
0m00.24s | categories/ExponentialLaws/ExponentialLaws               | 0m00.21s
0m00.22s | categories/NatCategory                                   | 0m00.15s
0m00.22s | types/Arrow                                              | 0m00.24s
0m00.22s | categories/Functor/Dual                                  | 0m00.22s
0m00.21s | categories/Category/Objects                              | 0m00.18s
0m00.21s | categories/Functor/Composition/Core                      | 0m00.23s
0m00.20s | categories/Notations                                     | 0m00.22s
0m00.20s | categories/FunctorCategory/Core                          | 0m00.19s
0m00.18s | categories/SetCategory/Functors/Functors                 | 0m00.18s
0m00.18s | categories/Utf8                                          | 0m00.14s
0m00.17s | Conjugation                                              | 0m00.18s
0m00.17s | FunextVarieties                                          | 0m00.14s
0m00.17s | categories/NaturalTransformation/Notations               | 0m00.18s
0m00.16s | categories/Category/Category                             | 0m00.20s
0m00.16s | categories/Functor/Prod/Prod                             | 0m00.15s
0m00.16s | hit/iso                                                  | 0m00.18s
0m00.16s | categories/Category/Dual                                 | 0m00.12s
0m00.16s | categories/Profunctor/Notations                          | 0m00.09s
0m00.15s | categories/Comma/Comma                                   | 0m00.17s
0m00.15s | categories/FunctorCategory/Utf8                          | 0m00.12s
0m00.15s | categories/NaturalTransformation/Core                    | 0m00.15s
0m00.14s | categories/Comma/Utf8                                    | 0m00.12s
0m00.14s | categories/ExponentialLaws/Law3/Law3                     | 0m00.12s
0m00.14s | categories/Category/Core                                 | 0m00.15s
0m00.14s | categories/Functor/Utf8                                  | 0m00.15s
0m00.13s | categories/Cat/Cat                                       | 0m00.18s
0m00.13s | categories/NaturalTransformation/NaturalTransformation   | 0m00.18s
0m00.13s | categories/Functor/Notations                             | 0m00.12s
0m00.13s | categories/Profunctor/Identity                           | 0m00.13s
0m00.13s | types/Unit                                               | 0m00.12s
0m00.13s | Overture                                                 | 0m00.16s
0m00.13s | hit/unique_choice                                        | 0m00.14s
0m00.13s | categories/Profunctor/Profunctor                         | 0m00.12s
0m00.12s | categories/GroupoidCategory/Core                         | 0m00.15s
0m00.12s | categories/Comma/Notations                               | 0m00.12s
0m00.12s | HoTT                                                     | 0m00.12s
0m00.12s | categories/Profunctor/Core                               | 0m00.08s
0m00.12s | categories/Profunctor/Representable                      | 0m00.14s
0m00.12s | categories/Category/Subcategory/Subcategory              | 0m00.11s
0m00.12s | categories/SetCategory/Core                              | 0m00.10s
0m00.12s | categories/NaturalTransformation/Composition/Composition | 0m00.10s
0m00.12s | categories/ExponentialLaws/Law2/Law2                     | 0m00.12s
0m00.12s | categories/FunctorCategory/FunctorCategory               | 0m00.18s
0m00.12s | categories/Category/Subcategory/Full                     | 0m00.08s
0m00.12s | categories/FunctorCategory/Notations                     | 0m00.08s
0m00.12s | categories/Category/Univalent                            | 0m00.13s
0m00.11s | categories/Category/Utf8                                 | 0m00.08s
0m00.11s | types/Bool                                               | 0m00.13s
0m00.11s | categories/ExponentialLaws/Law1/Law1                     | 0m00.09s
0m00.11s | categories/Functor/Pointwise/Pointwise                   | 0m00.07s
0m00.10s | categories/GroupoidCategory/GroupoidCategory             | 0m00.13s
0m00.10s | Contractible                                             | 0m00.09s
0m00.10s | hit/Interval                                             | 0m00.10s
0m00.10s | categories/ExponentialLaws/Law4/Law4                     | 0m00.07s
0m00.10s | categories/SetCategory/SetCategory                       | 0m00.12s
0m00.10s | categories/Category/Notations                            | 0m00.12s
0m00.10s | coq/Init/Peano                                           | 0m00.10s
0m00.10s | categories/Functor/Composition/Composition               | 0m00.10s
0m00.10s | categories/NaturalTransformation/Utf8                    | 0m00.11s
0m00.10s | categories/Profunctor/Utf8                               | 0m00.11s
0m00.09s | categories/DiscreteCategory                              | 0m00.09s
0m00.09s | hit/Truncations                                          | 0m00.11s
0m00.09s | coq/Init/Specif                                          | 0m00.06s
0m00.08s | categories/Functor/Identity                              | 0m00.07s
0m00.08s | UnivalenceAxiom                                          | 0m00.09s
0m00.08s | categories/Category/Sigma/Sigma                          | 0m00.08s
0m00.07s | categories/Category/Subcategory/Wide                     | 0m00.09s
0m00.07s | coq/Init/Logic_Type                                      | 0m00.06s
0m00.07s | types/Empty                                              | 0m00.06s
0m00.07s | categories/Functor/Core                                  | 0m00.08s
0m00.06s | coq/Init/Datatypes                                       | 0m00.06s
0m00.06s | coq/Program/Tactics                                      | 0m00.05s
0m00.05s | coq/Init/Notations                                       | 0m00.06s
0m00.04s | categories/Category/Strict                               | 0m00.07s
0m00.04s | coq/Init/Tactics                                         | 0m00.03s
0m00.04s | coq/Init/Logic                                           | 0m00.03s
0m00.04s | FunextAxiom                                              | 0m00.05s
0m00.03s | coq/Init/Prelude                                         | 0m00.04s
0m00.03s | coq/Bool/Bool                                            | 0m00.03s