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Fix resolution in WildCat/DisplayedEquiv.v #38

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Fix resolution in WildCat/DisplayedEquiv.v #38

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14 changes: 7 additions & 7 deletions theories/WildCat/DisplayedEquiv.v
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Expand Up @@ -17,11 +17,11 @@ Class DHasEquivs {A : Type} `{HasEquivs A}
DCatEquiv f a' b' -> DHom f a' b';
dcate_isequiv : forall {a b} {f : a $<~> b} {a'} {b'}
(f' : DCatEquiv f a' b'), DCatIsEquiv (dcate_fun f');
dcate_buildequiv : forall {a b} {f : a $-> b} `{!CatIsEquiv f} {a'} {b'}
dcate_buildequiv : forall {a b} {f : a $-> b} {fe : CatIsEquiv f} {a'} {b'}
(f' : DHom f a' b') {fe' : DCatIsEquiv f'},
DCatEquiv (Build_CatEquiv f) a' b';
dcate_buildequiv_fun : forall {a b} {f : a $-> b} `{!CatIsEquiv f}
{a'} {b'} (f' : DHom f a' b') {fe' : DCatIsEquiv f'},
DCatEquiv (Build_CatEquiv (fe:=fe) f) a' b';
dcate_buildequiv_fun : forall {a b} {f : a $-> b} {fe : CatIsEquiv f}
{a'} {b'} (f' : DHom f a' b') {fe' : DCatIsEquiv (fe:=fe) f'},
DGpdHom (cate_buildequiv_fun f)
(dcate_fun (dcate_buildequiv f' (fe':=fe'))) f';
dcate_inv' : forall {a b} {f : a $<~> b} {a'} {b'} (f' : DCatEquiv f a' b'),
Expand All @@ -44,8 +44,8 @@ Global Existing Instance dcate_isequiv.
Coercion dcate_fun : DCatEquiv >-> DHom.

Definition Build_DCatEquiv {A} {D : A -> Type} `{DHasEquivs A D}
{a b : A} {f : a $-> b} `{!CatIsEquiv f} {a' : D a} {b' : D b}
(f' : DHom f a' b') {fe' : DCatIsEquiv f'}
{a b : A} {f : a $-> b} {fe : CatIsEquiv f} {a' : D a} {b' : D b}
(f' : DHom f a' b') {fe' : DCatIsEquiv (fe:=fe) f'}
: DCatEquiv (Build_CatEquiv f) a' b'
:= dcate_buildequiv f' (fe':=fe').

Expand Down Expand Up @@ -142,7 +142,7 @@ Proof.
snrapply Build_HasEquivs.
1:{ intros [a a'] [b b']. exact {f : a $<~> b & DCatEquiv f a' b'}. }
all: intros aa' bb' [f f'].
- exact {fe : CatIsEquiv f & DCatIsEquiv f'}.
- exact {fe : CatIsEquiv f & DCatIsEquiv (fe:=fe) f'}.
- exists f. exact f'.
- exact (cate_isequiv f; dcate_isequiv f').
- intros [fe fe'].
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1 change: 1 addition & 0 deletions theories/WildCat/Equiv.v
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Expand Up @@ -31,6 +31,7 @@ Class HasEquivs (A : Type) `{Is1Cat A} :=
Existing Class CatIsEquiv.
Arguments CatIsEquiv {A _ _ _ _ _ a b} f.
Global Existing Instance cate_isequiv.
Arguments cate_isequiv {A _ _ _ _ _ a b} f.

(** Since apparently a field of a record can't be the source of a coercion (Coq complains about the uniform inheritance condition, although as officially stated that condition appears to be satisfied), we redefine all the fields of [HasEquivs]. *)

Expand Down