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Diffstat (limited to 'theories/Vectors/VectorSpec.v')
| -rw-r--r-- | theories/Vectors/VectorSpec.v | 6 |
1 files changed, 6 insertions, 0 deletions
diff --git a/theories/Vectors/VectorSpec.v b/theories/Vectors/VectorSpec.v index a576315e..2f4086e5 100644 --- a/theories/Vectors/VectorSpec.v +++ b/theories/Vectors/VectorSpec.v @@ -16,6 +16,12 @@ Require Fin. Require Import VectorDef. Import VectorNotations. +Definition cons_inj A a1 a2 n (v1 v2 : t A n) + (eq : a1 :: v1 = a2 :: v2) : a1 = a2 /\ v1 = v2 := + match eq in _ = x return caseS _ (fun a2' _ v2' => fun v1' => a1 = a2' /\ v1' = v2') x v1 + with | eq_refl => conj eq_refl eq_refl + end. + (** Lemmas are done for functions that use [Fin.t] but thanks to [Peano_dec.le_unique], all is true for the one that use [lt] *) |