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Diffstat (limited to 'test-suite/bugs/closed/3661.v')
| -rw-r--r-- | test-suite/bugs/closed/3661.v | 88 |
1 files changed, 88 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/3661.v b/test-suite/bugs/closed/3661.v new file mode 100644 index 00000000..fdca49bc --- /dev/null +++ b/test-suite/bugs/closed/3661.v @@ -0,0 +1,88 @@ +(* File reduced by coq-bug-finder from original input, then from 11218 lines to 438 lines, then from 434 lines to 202 lines, then from 140 lines to 94 lines *) +(* coqc version trunk (September 2014) compiled on Sep 25 2014 2:53:46 with OCaml 4.01.0 + coqtop version cagnode16:/afs/csail.mit.edu/u/j/jgross/coq-trunk,trunk (bec7e0914f4a7144cd4efa8ffaccc9f72dbdb790) *) +Inductive paths {A : Type} (a : A) : A -> Type := idpath : paths a a. +Set Implicit Arguments. +Delimit Scope morphism_scope with morphism. +Record PreCategory := { object :> Type ; morphism : object -> object -> Type }. +Bind Scope category_scope with PreCategory. +Local Open Scope morphism_scope. +Record Functor (C D : PreCategory) := + { object_of :> C -> D; + morphism_of : forall s d, morphism C s d -> morphism D (object_of s) (object_of d) }. +Set Primitive Projections. +Class IsIsomorphism {C : PreCategory} {s d} (m : morphism C s d) := { morphism_inverse : morphism C d s }. +Record NaturalTransformation C D (F G : Functor C D) := { components_of :> forall c, morphism D (F c) (G c) }. +Unset Primitive Projections. +Class Isomorphic {C : PreCategory} s d := + { morphism_isomorphic :> morphism C s d; + isisomorphism_isomorphic :> IsIsomorphism morphism_isomorphic }. +Arguments morphism_inverse {C s d} m {_} / . +Local Notation "m ^-1" := (morphism_inverse m) (at level 3, format "m '^-1'") : morphism_scope. +Definition functor_category (C D : PreCategory) : PreCategory. + exact (@Build_PreCategory (Functor C D) + (@NaturalTransformation C D)). +Defined. +Local Notation "C -> D" := (functor_category C D) : category_scope. +Generalizable All Variables. +Definition isisomorphism_components_of `{@IsIsomorphism (C -> D) F G T} x : IsIsomorphism (T x). +Proof. + constructor. + exact (T^-1 x). +Defined. +Hint Immediate isisomorphism_components_of : typeclass_instances. +Goal forall (x3 x9 : PreCategory) (x12 f0 : Functor x9 x3) + (x35 : @Isomorphic (@functor_category x9 x3) f0 x12) + (x37 : object x9) + (H3 : morphism x3 (@object_of x9 x3 f0 x37) + (@object_of x9 x3 f0 x37)) + (x34 : @Isomorphic (@functor_category x9 x3) x12 f0) + (m : morphism x3 (x12 x37) (f0 x37) -> + morphism x3 (f0 x37) (x12 x37) -> + morphism x3 (f0 x37) (f0 x37)), + @paths + (morphism x3 (@object_of x9 x3 f0 x37) (@object_of x9 x3 f0 x37)) + H3 + (m + (@components_of x9 x3 x12 f0 + (@morphism_inverse (@functor_category x9 x3) f0 x12 + (@morphism_isomorphic (@functor_category x9 x3) f0 x12 x35) + (@isisomorphism_isomorphic (@functor_category x9 x3) f0 x12 + x35)) x37) + (@components_of x9 x3 f0 x12 + (@morphism_inverse (@functor_category x9 x3) x12 f0 + (@morphism_isomorphic (@functor_category x9 x3) x12 f0 x34) + (@isisomorphism_isomorphic (@functor_category x9 x3) x12 f0 + x34)) x37)). + Unset Printing All. + intros. + match goal with + | [ |- context[components_of ?T^-1 ?x] ] + => progress let T1 := constr:(T^-1 x) in + let T2 := constr:((T x)^-1) in + change T1 with T2 || fail 1 "too early" + end. + + Undo. + + match goal with + | [ |- context[components_of ?T^-1 ?x] ] + => progress let T1 := constr:(T^-1 x) in + change T1 with ((T x)^-1) || fail 1 "too early 2" + end. + + Undo. + + match goal with + | [ |- context[components_of ?T^-1 ?x] ] + => progress let T2 := constr:((T x)^-1) in + change (T^-1 x) with T2 + end. (* not convertible *) + +(* + + (@components_of x9 x3 x12 f0 + (@morphism_inverse _ _ _ + (@morphism_isomorphic (functor_category x9 x3) f0 x12 x35) _) x37) + +*)
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