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Diffstat (limited to 'unit-tests/Tests_verit_tactics.v')
| -rw-r--r-- | unit-tests/Tests_verit_tactics.v | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/unit-tests/Tests_verit_tactics.v b/unit-tests/Tests_verit_tactics.v index 0e2509a..9c5e7f4 100644 --- a/unit-tests/Tests_verit_tactics.v +++ b/unit-tests/Tests_verit_tactics.v @@ -1341,3 +1341,25 @@ Section Issue92. Goal 0 = 2. Proof. verit_no_check. Abort. End Issue92. + + +Section Vauto. + Variable A : Type. + Variable HA : CompDec A. + Variable H0 : forall (x y : A) (x0 y0 : list A), x :: x0 = y :: y0 -> y = x /\ y0 = x0. + Variable H1 : forall (H : A) (H0 : list A), nil = H :: H0 -> False. + Variable search : forall {A : Type} {H: CompDec A}, A -> list A -> bool. + Arguments search {_ _} _ _. + Variable H4_A : forall (H : CompDec A) (H0 H1 : A) (H2 : list A), + search H0 (H1 :: H2) = eqb_of_compdec H H0 H1 || search H0 H2. + Variable H2 : forall (H : CompDec (list A)) (H0 H1 : list A) (H2 : list (list A)), + search H0 (H1 :: H2) = eqb_of_compdec H H0 H1 || search H0 H2. + Variable H3_A : forall (H : CompDec A) (H0 : A), search H0 nil = false. + Variable H4 : forall (H : CompDec (list A)) (H0 : list A), search H0 nil = false. + Variables a b : A. + Variable l : list A. + Variable H : search b (a :: l). + + Goal eqb_of_compdec HA a b \/ search b l. + Proof. verit_no_check. Qed. +End Vauto. |