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Commit 2327e1a2 authored by Robbert Krebbers's avatar Robbert Krebbers
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Merge branch 'msammler/f_equiv5' into 'master' 

Add more underscores to f_equiv

See merge request !235
parents 78c857b9 9aede26b
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1 merge request!235Add more underscores to f_equiv
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theories/tactics.v
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...@@ -347,6 +347,7 @@ Ltac f_equiv := ...@@ -347,6 +347,7 @@ Ltac f_equiv :=
| |- ?R (?f _ _) _ => simple apply (_ : Proper (R ==> R ==> R) f) | |- ?R (?f _ _) _ => simple apply (_ : Proper (R ==> R ==> R) f)
| |- ?R (?f _ _ _) _ => simple apply (_ : Proper (R ==> R ==> R ==> R) f) | |- ?R (?f _ _ _) _ => simple apply (_ : Proper (R ==> R ==> R ==> R) f)
| |- ?R (?f _ _ _ _) _ => simple apply (_ : Proper (R ==> R ==> R ==> R ==> R) f) | |- ?R (?f _ _ _ _) _ => simple apply (_ : Proper (R ==> R ==> R ==> R ==> R) f)
| |- ?R (?f _ _ _ _ _) _ => simple apply (_ : Proper (R ==> R ==> R ==> R ==> R ==> R) f)
(* For the case in which R is polymorphic, or an operational type class, (* For the case in which R is polymorphic, or an operational type class,
like equiv. *) like equiv. *)
| |- (?R _) (?f _) _ => simple apply (_ : Proper (R _ ==> _) f) | |- (?R _) (?f _) _ => simple apply (_ : Proper (R _ ==> _) f)
...@@ -360,7 +361,10 @@ Ltac f_equiv := ...@@ -360,7 +361,10 @@ Ltac f_equiv :=
| |- (?R _ _ _) (?f _ _ _) _ => simple apply (_ : Proper (R _ _ _ ==> R _ _ _ R _ _ _ ==> _) f) | |- (?R _ _ _) (?f _ _ _) _ => simple apply (_ : Proper (R _ _ _ ==> R _ _ _ R _ _ _ ==> _) f)
| |- (?R _) (?f _ _ _ _) _ => simple apply (_ : Proper (R _ ==> R _ ==> R _ ==> R _ ==> _) f) | |- (?R _) (?f _ _ _ _) _ => simple apply (_ : Proper (R _ ==> R _ ==> R _ ==> R _ ==> _) f)
| |- (?R _ _) (?f _ _ _ _) _ => simple apply (_ : Proper (R _ _ ==> R _ _ ==> R _ _ ==> R _ _ ==> _) f) | |- (?R _ _) (?f _ _ _ _) _ => simple apply (_ : Proper (R _ _ ==> R _ _ ==> R _ _ ==> R _ _ ==> _) f)
| |- (?R _ _ _) (?f _ _ _ _) _ => simple apply (_ : Proper (R _ _ _ ==> R _ _ _ R _ _ _ ==> R _ _ _ ==> _) f) | |- (?R _ _ _) (?f _ _ _ _) _ => simple apply (_ : Proper (R _ _ _ ==> R _ _ _ ==> R _ _ _ ==> R _ _ _ ==> _) f)
| |- (?R _) (?f _ _ _ _ _) _ => simple apply (_ : Proper (R _ ==> R _ ==> R _ ==> R _ ==> R _ ==> _) f)
| |- (?R _ _) (?f _ _ _ _ _) _ => simple apply (_ : Proper (R _ _ ==> R _ _ ==> R _ _ ==> R _ _ ==> R _ _ ==> _) f)
| |- (?R _ _ _) (?f _ _ _ _ _) _ => simple apply (_ : Proper (R _ _ _ ==> R _ _ _ ==> R _ _ _ ==> R _ _ _ ==> R _ _ _ ==> _) f)
(* Next, try to infer the relation. Unfortunately, very often, it will turn (* Next, try to infer the relation. Unfortunately, very often, it will turn
the goal into a Leibniz equality so we get stuck. *) the goal into a Leibniz equality so we get stuck. *)
(* TODO: Can we exclude that instance? *) (* TODO: Can we exclude that instance? *)
...@@ -368,6 +372,7 @@ Ltac f_equiv := ...@@ -368,6 +372,7 @@ Ltac f_equiv :=
| |- ?R (?f _ _) _ => simple apply (_ : Proper (_ ==> _ ==> R) f) | |- ?R (?f _ _) _ => simple apply (_ : Proper (_ ==> _ ==> R) f)
| |- ?R (?f _ _ _) _ => simple apply (_ : Proper (_ ==> _ ==> _ ==> R) f) | |- ?R (?f _ _ _) _ => simple apply (_ : Proper (_ ==> _ ==> _ ==> R) f)
| |- ?R (?f _ _ _ _) _ => simple apply (_ : Proper (_ ==> _ ==> _ ==> _ ==> R) f) | |- ?R (?f _ _ _ _) _ => simple apply (_ : Proper (_ ==> _ ==> _ ==> _ ==> R) f)
| |- ?R (?f _ _ _ _ _) _ => simple apply (_ : Proper (_ ==> _ ==> _ ==> _ ==> _ ==> R) f)
(* In case the function symbol differs, but the arguments are the same, (* In case the function symbol differs, but the arguments are the same,
maybe we have a pointwise_relation in our context. *) maybe we have a pointwise_relation in our context. *)
(* TODO: If only some of the arguments are the same, we could also (* TODO: If only some of the arguments are the same, we could also
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