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Require Export Crypto.Util.FixCoqMistakes.
(* Coq's build in tactics don't work so well with things like [iff]
so split them up into multiple hypotheses *)
Ltac split_in_context_by ident funl funr tac :=
repeat match goal with
| [ H : context p [ident] |- _ ] =>
let H0 := context p[funl] in
let H1 := context p[funr] in
let H0' := (eval cbv beta in H0) in
let H1' := (eval cbv beta in H1) in
assert H0' by (tac H);
assert H1' by (tac H);
clear H
end.
Ltac split_in_context ident funl funr :=
split_in_context_by ident funl funr ltac:(fun H => apply H).
Ltac split_iff := split_in_context iff (fun a b : Prop => a -> b) (fun a b : Prop => b -> a).
Ltac split_and' :=
repeat match goal with
| [ H : ?a /\ ?b |- _ ] => let H0 := fresh in let H1 := fresh in
assert (H0 := proj1 H); assert (H1 := proj2 H); clear H
end.
Ltac split_prod' :=
repeat match goal with
| [ H : prod ?a ?b |- _ ] => let H0 := fresh in let H1 := fresh in
assert (H0 := fst H); assert (H1 := snd H); clear H
end.
Ltac split_and := split_and'; split_in_context and (fun a b : Type => a) (fun a b : Type => b).
Ltac split_prod := split_and'; split_in_context prod (fun a b : Type => a) (fun a b : Type => b).
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