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Require Setoid.
Goal forall (P : Prop) (T : Type) (m m' : T) (T0 T1 : Type) (P2 : forall _ :
Prop, Prop)
(P0 : Set) (x0 : P0) (P1 : forall (_ : P0) (_ : T), Prop)
(P3 : forall (_ : forall (_ : P0) (_ : T0) (_ : Prop), Prop) (_ :
T) (_ : Prop), Prop)
(o : forall _ : P0, option T1)
(_ : P3
(fun (k : P0) (_ : T0) (_ : Prop) =>
match o k return Prop with
| Some _ => True
| None => False
end) m' P) (_ : P2 (P1 x0 m))
(_ : forall (f : forall (_ : P0) (_ : T0) (_ : Prop), Prop) (m1 m2
: T)
(k : P0) (e : T0) (_ : P2 (P1 k m1)), iff (P3 f m2 P)
(f k e (P3 f m1 P))), False.
Proof.
intros ???????????? H0 H H1.
rewrite H1 in H0; eauto with nocore.
{ lazymatch goal with
| H : match ?X with _ => _ end |- _
=> first [ lazymatch goal with
| [ H' : context[X] |- _ ] => idtac H
end
| fail 1 "could not find" X ]
end.
Abort.
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