diff options
Diffstat (limited to 'mathcomp/ssrtest')
| -rw-r--r-- | mathcomp/ssrtest/derive_inversion.v | 19 |
1 files changed, 19 insertions, 0 deletions
diff --git a/mathcomp/ssrtest/derive_inversion.v b/mathcomp/ssrtest/derive_inversion.v new file mode 100644 index 0000000..71257d8 --- /dev/null +++ b/mathcomp/ssrtest/derive_inversion.v @@ -0,0 +1,19 @@ +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. |
