Prepare for moving to trunk with some workarounds

These are work-arounds for minor known changes:
- [refine] will now permit dependent goals, so we need to use [eapply]
  to get the same resulting goals
- We need to not clear section variables when the proof depends on them
  (https://coq.inria.fr/bugs/show_bug.cgi?id=3418)
- Higher order unification has changed, so we need to give more things
  explicitly now (https://coq.inria.fr/bugs/show_bug.cgi?id=3269).  In
  particular, Coq had to use a heuristic to decide [f b = ?X b] by
  instantiating [X] to [f], and not e.g. [λ x, f b] ([b] is in [?X]'s
  context).

I'm pretty sure the 44s change below is just system noise.

After     | File Name                                                          | Before    || Change
-------------------------------------------------------------------------------------------------------
10m58.10s | Total                                                              | 10m13.62s || +0m44.48s
-------------------------------------------------------------------------------------------------------
0m29.29s  | categories/Grothendieck/PseudofunctorToCat                         | 0m25.01s  || +0m04.27s
0m43.04s  | categories/Pseudofunctor/RewriteLaws                               | 0m39.96s  || +0m03.07s
0m39.31s  | categories/Adjoint/Composition/AssociativityLaw                    | 0m35.41s  || +0m03.90s
0m21.94s  | categories/Comma/InducedFunctors                                   | 0m19.85s  || +0m02.08s
0m20.94s  | categories/Adjoint/UnitCounitCoercions                             | 0m18.20s  || +0m02.74s
0m19.90s  | categories/Adjoint/Composition/Core                                | 0m17.62s  || +0m02.27s
0m13.75s  | hit/Flattening                                                     | 0m12.62s  || +0m01.13s
0m11.30s  | categories/Adjoint/Composition/IdentityLaws                        | 0m09.86s  || +0m01.44s
0m10.27s  | categories/Adjoint/Dual                                            | 0m08.54s  || +0m01.73s
0m09.76s  | categories/ExponentialLaws/Law1/Law                                | 0m08.13s  || +0m01.62s
0m08.64s  | categories/UniversalProperties                                     | 0m07.34s  || +0m01.30s
0m07.58s  | categories/Adjoint/Paths                                           | 0m06.42s  || +0m01.16s
0m07.46s  | categories/Comma/Dual                                              | 0m06.38s  || +0m01.08s
0m06.68s  | EquivalenceVarieties                                               | 0m05.63s  || +0m01.04s
1m50.45s  | categories/Comma/ProjectionFunctors                                | 1m50.68s  || -0m00.23s
0m27.29s  | categories/Adjoint/HomCoercions                                    | 0m26.46s  || +0m00.82s
0m16.64s  | categories/ExponentialLaws/Law4/Functors                           | 0m16.49s  || +0m00.15s
0m16.10s  | categories/FunctorCategory/Dual                                    | 0m15.87s  || +0m00.23s
0m12.92s  | categories/Functor/Pointwise/Properties                            | 0m13.18s  || -0m00.25s
0m11.45s  | categories/Pseudofunctor/FromFunctor                               | 0m10.68s  || +0m00.76s
0m09.79s  | categories/PseudonaturalTransformation/Core                        | 0m09.76s  || +0m00.02s
0m08.35s  | categories/GroupoidCategory/Morphisms                              | 0m07.66s  || +0m00.68s
0m08.06s  | categories/Pseudofunctor/Identity                                  | 0m07.42s  || +0m00.64s
0m07.94s  | categories/Functor/Prod/Universal                                  | 0m07.53s  || +0m00.41s
0m07.87s  | categories/Yoneda                                                  | 0m07.74s  || +0m00.12s
0m07.54s  | hit/Connectedness                                                  | 0m06.78s  || +0m00.75s
0m07.03s  | categories/Functor/Paths                                           | 0m06.18s  || +0m00.85s
0m06.95s  | categories/Category/Morphisms                                      | 0m06.02s  || +0m00.93s
0m06.71s  | categories/Structure/IdentityPrinciple                             | 0m06.55s  || +0m00.16s
0m05.58s  | categories/Functor/Sum                                             | 0m05.57s  || +0m00.00s
0m04.91s  | categories/ExponentialLaws/Law2/Functors                           | 0m04.87s  || +0m00.04s
0m04.81s  | categories/DualFunctor                                             | 0m04.54s  || +0m00.26s
0m04.76s  | categories/Category/Sigma/OnMorphisms                              | 0m04.68s  || +0m00.08s
0m04.19s  | categories/ProductLaws                                             | 0m03.83s  || +0m00.36s
0m03.88s  | HSet                                                               | 0m03.40s  || +0m00.48s
0m03.56s  | categories/Structure/Core                                          | 0m03.43s  || +0m00.12s
0m03.49s  | categories/Adjoint/UniversalMorphisms                              | 0m03.05s  || +0m00.44s
0m03.47s  | types/ObjectClassifier                                             | 0m03.27s  || +0m00.20s
0m03.28s  | types/Sigma                                                        | 0m02.98s  || +0m00.29s
0m03.12s  | categories/Functor/Composition/Functorial/Attributes               | 0m02.76s  || +0m00.36s
0m02.98s  | categories/Functor/Prod/Functorial                                 | 0m02.59s  || +0m00.39s
0m02.94s  | HProp                                                              | 0m02.70s  || +0m00.23s
0m02.91s  | categories/Adjoint/UnitCounit                                      | 0m02.71s  || +0m00.20s
0m02.78s  | Equivalences                                                       | 0m02.83s  || -0m00.05s
0m02.62s  | categories/Grothendieck/ToSet                                      | 0m02.40s  || +0m00.22s
0m02.60s  | categories/FunctorCategory/Functorial                              | 0m02.61s  || -0m00.00s
0m02.42s  | categories/Comma/Core                                              | 0m02.06s  || +0m00.35s
0m02.40s  | categories/Category/Sigma/Core                                     | 0m02.04s  || +0m00.35s
0m02.29s  | categories/Category/Sum                                            | 0m02.26s  || +0m00.03s
0m02.26s  | categories/Functor/Attributes                                      | 0m02.22s  || +0m00.03s
0m02.14s  | types/Record                                                       | 0m02.02s  || +0m00.12s
0m02.12s  | PathGroupoids                                                      | 0m02.05s  || +0m00.07s
0m02.09s  | categories/NaturalTransformation/Isomorphisms                      | 0m01.96s  || +0m00.12s
0m02.06s  | categories/Limits/Core                                             | 0m01.23s  || +0m00.83s
0m02.00s  | categories/NaturalTransformation/Dual                              | 0m01.84s  || +0m00.15s
0m01.96s  | categories/HomFunctor                                              | 0m01.74s  || +0m00.21s
0m01.79s  | categories/Pseudofunctor/Core                                      | 0m01.76s  || +0m00.03s
0m01.78s  | categories/NaturalTransformation/Paths                             | 0m01.62s  || +0m00.15s
0m01.75s  | categories/FunctorCategory/Morphisms                               | 0m01.64s  || +0m00.11s
0m01.41s  | categories/InitialTerminalCategory/Pseudofunctors                  | 0m01.36s  || +0m00.04s
0m01.35s  | categories/NaturalTransformation/Pointwise                         | 0m01.26s  || +0m00.09s
0m01.34s  | categories/Category/Sigma/OnObjects                                | 0m01.28s  || +0m00.06s
0m01.33s  | types/Prod                                                         | 0m01.32s  || +0m00.01s
0m01.32s  | categories/Category/Prod                                           | 0m01.31s  || +0m00.01s
0m01.12s  | categories/Functor/Composition/Functorial/Core                     | 0m01.04s  || +0m00.08s
0m01.08s  | contrib/HoTTBookExercises                                          | 0m00.94s  || +0m00.14s
0m01.06s  | categories/NaturalTransformation/Composition/Laws                  | 0m01.02s  || +0m00.04s
0m01.06s  | categories/Functor/Pointwise                                       | 0m01.02s  || +0m00.04s
0m01.05s  | categories/CategoryOfSections/Core                                 | 0m00.97s  || +0m00.08s
0m01.05s  | categories/ExponentialLaws/Law1/Functors                           | 0m00.97s  || +0m00.08s
0m01.03s  | hit/epi                                                            | 0m00.88s  || +0m00.15s
0m01.01s  | hit/Spheres                                                        | 0m00.85s  || +0m00.16s
0m00.94s  | categories/ExponentialLaws/Law   N/A                               | 0m00.92s  || +0m00.01s
0m00.92s  | categories/NaturalTransformation/Prod                              | 0m00.90s  || +0m00.02s
0m00.92s  | categories/Functor/Prod                                            | 0m00.94s  || -0m00.01s
0m00.87s  | types/Paths                                                        | 0m00.92s  || -0m00.05s
0m00.84s  | contrib/HoTTBook                                                   | 0m00.80s  || +0m00.03s
0m00.80s  | hit/Suspension                                                     | 0m00.68s  || +0m00.12s
0m00.78s  | categories/SetCategory/Morphisms                                   | 0m00.75s  || +0m00.03s
0m00.73s  | categories/NaturalTransformation/Composition/Core                  | 0m00.67s  || +0m00.05s
0m00.68s  | UnivalenceImpliesFunext                                            | 0m00.60s  || +0m00.08s
0m00.67s  | types/Universe                                                     | 0m00.58s  || +0m00.09s
0m00.66s  | categories/categories                                              | 0m00.64s  || +0m00.02s
0m00.65s  | Trunc                                                              | 0m00.59s  || +0m00.06s
0m00.64s  | types/Sum                                                          | 0m00.63s  || +0m00.01s
0m00.63s  | hit/quotient                                                       | 0m00.53s  || +0m00.09s
0m00.58s  | categories/NaturalTransformation/Sum                               | 0m00.58s  || +0m00.00s
0m00.57s  | categories/Comma/Projection                                        | 0m00.49s  || +0m00.07s
0m00.55s  | Functorish                                                         | 0m00.60s  || -0m00.04s
0m00.54s  | hit/Circle                                                         | 0m00.52s  || +0m00.02s
0m00.52s  | categories/KanExtensions/Functors                                  | 0m00.45s  || +0m00.07s
0m00.51s  | categories/Limits/Functors                                         | 0m00.47s  || +0m00.04s
0m00.48s  | categories/Functor/Composition/Laws                                | 0m00.56s  || -0m00.08s
0m00.44s  | Tactics                                                            | 0m00.44s  || +0m00.00s
0m00.43s  | TruncType                                                          | 0m00.34s  || +0m00.08s
0m00.43s  | categories/Functor/Functor                                         | 0m00.33s  || +0m00.09s
0m00.43s  | types/Forall                                                       | 0m00.44s  || -0m00.01s
0m00.42s  | categories/InitialTerminalCategory/Functors                        | 0m00.44s  || -0m00.02s
0m00.41s  | categories/Cat/Core                                                | 0m00.45s  || -0m00.04s
0m00.40s  | categories/NaturalTransformation/Identity                          | 0m00.38s  || +0m00.02s
0m00.39s  | categories/InitialTerminalCategory/NaturalTransformations          | 0m00.36s  || +0m00.03s
0m00.38s  | Fibrations                                                         | 0m00.39s  || -0m00.01s
0m00.37s  | categories/FundamentalPreGroupoidCategory                          | 0m00.37s  || +0m00.00s
0m00.36s  | categories/HomotopyPreCategory                                     | 0m00.32s  || +0m00.03s
0m00.35s  | categories/Functor/Dual                                            | 0m00.31s  || +0m00.03s
0m00.35s  | categories/Cat/Morphisms                                           | 0m00.32s  || +0m00.02s
0m00.33s  | categories/ExponentialLaws/Law3/Functors                           | 0m00.38s  || -0m00.04s
0m00.33s  | hit/minus1Trunc                                                    | 0m00.29s  || +0m00.04s
0m00.33s  | categories/Grothendieck/Grothendieck                               | 0m00.24s  || +0m00.09s
0m00.32s  | categories/ExponentialLaws/ExponentialLaws                         | 0m00.32s  || +0m00.00s
0m00.32s  | categories/KanExtensions/Core                                      | 0m00.29s  || +0m00.03s
0m00.31s  | categories/NaturalTransformation/Composition/Functorial            | 0m00.28s  || +0m00.02s
0m00.30s  | categories/Utf8                                                    | 0m00.27s  || +0m00.02s
0m00.29s  | categories/Category/Objects                                        | 0m00.20s  || +0m00.08s
0m00.29s  | categories/Notations                                               | 0m00.26s  || +0m00.02s
0m00.28s  | categories/Functor/Utf8                                            | 0m00.18s  || +0m00.10s
0m00.28s  | types/Arrow                                                        | 0m00.26s  || +0m00.02s
0m00.27s  | categories/Functor/Notations                                       | 0m00.20s  || +0m00.07s
0m00.26s  | categories/KanExtensions/KanExtensions                             | 0m00.18s  || +0m00.08s
0m00.26s  | categories/IndiscreteCategory                                      | 0m00.32s  || -0m00.06s
0m00.25s  | categories/Limits/Limits                                           | 0m00.18s  || +0m00.07s
0m00.25s  | categories/Grothendieck/ToCat                                      | 0m00.22s  || +0m00.03s
0m00.25s  | categories/Adjoint/Adjoint                                         | 0m00.26s  || -0m00.01s
0m00.25s  | categories/InitialTerminalCategory/InitialTerminalCategory         | 0m00.22s  || +0m00.03s
0m00.25s  | categories/NaturalTransformation/Utf8                              | 0m00.24s  || +0m00.01s
0m00.24s  | categories/FunctorCategory/Utf8                                    | 0m00.16s  || +0m00.07s
0m00.24s  | categories/Functor/Composition/Composition                         | 0m00.17s  || +0m00.06s
0m00.24s  | categories/NatCategory                                             | 0m00.20s  || +0m00.03s
0m00.23s  | categories/DependentProduct                                        | 0m00.21s  || +0m00.02s
0m00.23s  | categories/Functor/Composition/Functorial                          | 0m00.20s  || +0m00.03s
0m00.23s  | categories/NaturalTransformation/Core                              | 0m00.26s  || -0m00.03s
0m00.22s  | hit/iso                                                            | 0m00.24s  || -0m00.01s
0m00.22s  | categories/Adjoint/Hom                                             | 0m00.21s  || +0m00.01s
0m00.22s  | categories/GroupoidCategory/Core                                   | 0m00.23s  || -0m00.01s
0m00.22s  | categories/InitialTerminalCategory/Notations                       | 0m00.16s  || +0m00.06s
0m00.22s  | categories/PseudonaturalTransformation/PseudonaturalTransformation | 0m00.16s  || +0m00.06s
0m00.22s  | categories/Pseudofunctor/Pseudofunctor                             | 0m00.20s  || +0m00.01s
0m00.21s  | categories/Comma/Utf8                                              | 0m00.14s  || +0m00.06s
0m00.21s  | types/Bool                                                         | 0m00.22s  || -0m00.01s
0m00.20s  | categories/SetCategory/Functors/Functors                           | 0m00.24s  || -0m00.03s
0m00.20s  | HoTT                                                               | 0m00.18s  || +0m00.02s
0m00.20s  | categories/InitialTerminalCategory/Core                            | 0m00.14s  || +0m00.06s
0m00.20s  | categories/FunctorCategory/FunctorCategory                         | 0m00.19s  || +0m00.01s
0m00.20s  | categories/CategoryOfGroupoids                                     | 0m00.19s  || +0m00.01s
0m00.20s  | categories/Adjoint/Notations                                       | 0m00.18s  || +0m00.02s
0m00.20s  | Modality                                                           | 0m00.20s  || +0m00.00s
0m00.20s  | categories/Adjoint/Composition/Composition                         | 0m00.16s  || +0m00.04s
0m00.19s  | Conjugation                                                        | 0m00.18s  || +0m00.01s
0m00.19s  | categories/ExponentialLaws/Law1/Law1                               | 0m00.19s  || +0m00.00s
0m00.18s  | categories/Adjoint/Utf8                                            | 0m00.15s  || +0m00.03s
0m00.18s  | categories/Functor/Prod/Prod                                       | 0m00.13s  || +0m00.04s
0m00.18s  | categories/Comma/Comma                                             | 0m00.18s  || +0m00.00s
0m00.18s  | categories/Profunctor/Profunctor                                   | 0m00.16s  || +0m00.01s
0m00.17s  | categories/NaturalTransformation/NaturalTransformation             | 0m00.18s  || -0m00.00s
0m00.17s  | FunextVarieties                                                    | 0m00.18s  || -0m00.00s
0m00.17s  | categories/FunctorCategory/Core                                    | 0m00.20s  || -0m00.03s
0m00.16s  | categories/Profunctor/Representable                                | 0m00.14s  || +0m00.01s
0m00.16s  | categories/Cat/Cat                                                 | 0m00.14s  || +0m00.01s
0m00.16s  | categories/Profunctor/Core                                         | 0m00.14s  || +0m00.01s
0m00.16s  | categories/SetCategory/Core                                        | 0m00.16s  || +0m00.00s
0m00.16s  | Misc                                                               | 0m00.19s  || -0m00.03s
0m00.16s  | hit/unique_choice                                                  | 0m00.14s  || +0m00.01s
0m00.16s  | categories/Category/Category                                       | 0m00.16s  || +0m00.00s
0m00.16s  | Tests                                                              | 0m00.14s  || +0m00.01s
0m00.16s  | categories/NaturalTransformation/Composition/Composition           | 0m00.13s  || +0m00.03s
0m00.16s  | categories/ExponentialLaws/Law2/Law2                               | 0m00.11s  || +0m00.05s
0m00.16s  | hit/Truncations                                                    | 0m00.14s  || +0m00.01s
0m00.16s  | categories/Category/Pi                                             | 0m00.20s  || -0m00.04s
0m00.15s  | categories/ExponentialLaws/Law3/Law3                               | 0m00.13s  || +0m00.01s
0m00.15s  | categories/Structure/Structure                                     | 0m00.13s  || +0m00.01s
0m00.15s  | categories/Category/Univalent                                      | 0m00.14s  || +0m00.00s
0m00.15s  | categories/Functor/Composition/Core                                | 0m00.12s  || +0m00.03s
0m00.15s  | categories/Category/Core                                           | 0m00.15s  || +0m00.00s
0m00.15s  | hit/TwoSphere                                                      | 0m00.14s  || +0m00.00s
0m00.15s  | types/Unit                                                         | 0m00.11s  || +0m00.03s
0m00.15s  | Overture                                                           | 0m00.14s  || +0m00.00s
0m00.14s  | categories/Adjoint/Identity                                        | 0m00.16s  || -0m00.01s
0m00.14s  | categories/NaturalTransformation/Notations                         | 0m00.14s  || +0m00.00s
0m00.14s  | categories/Category/Notations                                      | 0m00.13s  || +0m00.01s
0m00.14s  | categories/Profunctor/Identity                                     | 0m00.13s  || +0m00.01s
0m00.13s  | categories/Category/Utf8                                           | 0m00.11s  || +0m00.02s
0m00.13s  | categories/Profunctor/Notations                                    | 0m00.14s  || -0m00.01s
0m00.13s  | categories/ExponentialLaws/Law4/Law4                               | 0m00.10s  || +0m00.03s
0m00.13s  | categories/Category/Subcategory/Wide                               | 0m00.14s  || -0m00.01s
0m00.13s  | categories/SetCategory/SetCategory                                 | 0m00.13s  || +0m00.00s
0m00.13s  | UnivalenceAxiom                                                    | 0m00.09s  || +0m00.04s
0m00.13s  | categories/Functor/Pointwise/Pointwise                             | 0m00.10s  || +0m00.03s
0m00.13s  | categories/FunctorCategory/Notations                               | 0m00.14s  || -0m00.01s
0m00.13s  | categories/Profunctor/Utf8                                         | 0m00.13s  || +0m00.00s
0m00.12s  | categories/DiscreteCategory                                        | 0m00.13s  || -0m00.01s
0m00.12s  | categories/GroupoidCategory/GroupoidCategory                       | 0m00.11s  || +0m00.00s
0m00.12s  | Contractible                                                       | 0m00.11s  || +0m00.00s
0m00.12s  | categories/Category/Dual                                           | 0m00.16s  || -0m00.04s
0m00.12s  | coq/Init/Peano                                                     | 0m00.10s  || +0m00.01s
0m00.12s  | categories/Comma/Notations                                         | 0m00.13s  || -0m00.01s
0m00.12s  | categories/Category/Subcategory/Subcategory                        | 0m00.10s  || +0m00.01s
0m00.12s  | categories/Adjoint/Composition/LawsTactic                          | 0m00.16s  || -0m00.04s
0m00.11s  | categories/Adjoint/Core                                            | 0m00.12s  || -0m00.00s
0m00.11s  | categories/Functor/Core                                            | 0m00.12s  || -0m00.00s
0m00.11s  | categories/Category/Sigma/Sigma                                    | 0m00.15s  || -0m00.03s
0m00.10s  | categories/Functor/Identity                                        | 0m00.10s  || +0m00.00s
0m00.10s  | hit/Interval                                                       | 0m00.14s  || -0m00.04s
0m00.10s  | categories/Category/Strict                                         | 0m00.10s  || +0m00.00s
0m00.10s  | categories/Structure/Notations                                     | 0m00.11s  || -0m00.00s
0m00.10s  | categories/Category/Subcategory/Full                               | 0m00.12s  || -0m00.01s
0m00.09s  | types/UniverseLevel                                                | 0m00.10s  || -0m00.01s
0m00.09s  | categories/Structure/Utf8                                          | 0m00.12s  || -0m00.03s
0m00.09s  | categories/CategoryOfSections/CategoryOfSections                   | 0m00.10s  || -0m00.01s
0m00.08s  | Pointed                                                            | 0m00.10s  || -0m00.02s
0m00.08s  | coq/Init/Logic_Type                                                | 0m00.06s  || +0m00.02s
0m00.08s  | types/Empty                                                        | 0m00.09s  || -0m00.00s
0m00.07s  | coq/Init/Specif                                                    | 0m00.10s  || -0m00.03s
0m00.07s  | FunextAxiom                                                        | 0m00.06s  || +0m00.01s
0m00.06s  | coq/Init/Datatypes                                                 | 0m00.07s  || -0m00.01s
0m00.06s  | coq/Program/Tactics                                                | 0m00.06s  || +0m00.00s
0m00.05s  | coq/Init/Notations                                                 | 0m00.04s  || +0m00.01s
0m00.05s  | coq/Init/Prelude                                                   | 0m00.04s  || +0m00.01s
0m00.03s  | coq/Bool/Bool                                                      | 0m00.03s  || +0m00.00s
0m00.03s  | coq/Init/Tactics                                                   | 0m00.03s  || +0m00.00s
0m00.02s  | coq/Init/Logic                                                     | 0m00.04s  || -0m00.02s