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Require Import Crypto.Util.Tactics.ChangeInAll.
Definition curry2 {A B C} (f : A -> B -> C) (x : A * B) : C
:= let '(a, b) := x in f a b.
Definition curry3 {A B C D} (f : A -> B -> C -> D) (x : A * B * C) : D
:= let '(a, b, c) := x in f a b c.
Definition curry4 {A B C D E} (f : A -> B -> C -> D -> E) (x : A * B * C * D) : E
:= let '(a, b, c, d) := x in f a b c d.
Ltac change_with_curried f :=
cbv beta in f; (* work around https://coq.inria.fr/bugs/show_bug.cgi?id=5430 *)
lazymatch type of f with
| ?A -> ?B -> ?C
=> let f' := fresh f in
rename f into f';
pose (fun (ab : A * B) => f' (fst ab) (snd ab)) as f;
change_in_all f' (fun (a : A) (b : B) => f (a, b));
subst f';
cbv beta;
change_with_curried f
| _ => idtac
end.
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