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-rw-r--r--mathcomp/ssrtest/derive_inversion.v19
1 files changed, 19 insertions, 0 deletions
diff --git a/mathcomp/ssrtest/derive_inversion.v b/mathcomp/ssrtest/derive_inversion.v
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+++ b/mathcomp/ssrtest/derive_inversion.v
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+Require Import ssreflect ssrbool.
+
+Set Implicit Arguments.
+
+ Inductive wf T : bool -> option T -> Type :=
+ | wf_f : wf false None
+ | wf_t : forall x, wf true (Some x).
+
+ Derive Inversion wf_inv with (forall T b (o : option T), wf b o) Sort Prop.
+
+ Lemma Problem T b (o : option T) :
+ wf b o ->
+ match b with
+ | true => exists x, o = Some x
+ | false => o = None
+ end.
+ Proof.
+ by case: b; elim/wf_inv=>//;case: o=>// a *; exists a.
+ Qed.