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(* Axioms and extensionality *)
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(* extensionality is needed for domains *)
Axiom pext : forall p1 p2 : Prop, (p1 <-> p2) -> p1 = p2.Axiom fext : forall A (B : A -> Type) (f1 f2 : forall x, B x), 
               (forall x, f1 x = f2 x) -> f1 = f2.

Lemma sval_inj A P : injective (@sval A P).