diff options
Diffstat (limited to 'test-suite/output/Search.out')
| -rw-r--r-- | test-suite/output/Search.out | 120 |
1 files changed, 64 insertions, 56 deletions
diff --git a/test-suite/output/Search.out b/test-suite/output/Search.out index c17b285b..7446c17d 100644 --- a/test-suite/output/Search.out +++ b/test-suite/output/Search.out @@ -1,108 +1,116 @@ le_n: forall n : nat, n <= n +le_0_n: forall n : nat, 0 <= n le_S: forall n m : nat, n <= m -> n <= S m +le_n_S: forall n m : nat, n <= m -> S n <= S m +le_pred: forall n m : nat, n <= m -> Nat.pred n <= Nat.pred m +le_S_n: forall n m : nat, S n <= S m -> n <= m +min_l: forall n m : nat, n <= m -> Nat.min n m = n +max_r: forall n m : nat, n <= m -> Nat.max n m = m +min_r: forall n m : nat, m <= n -> Nat.min n m = m +max_l: forall n m : nat, m <= n -> Nat.max n m = n le_ind: forall (n : nat) (P : nat -> Prop), P n -> (forall m : nat, n <= m -> P m -> P (S m)) -> forall n0 : nat, n <= n0 -> P n0 -le_pred: forall n m : nat, n <= m -> Nat.pred n <= Nat.pred m -le_S_n: forall n m : nat, S n <= S m -> n <= m -le_0_n: forall n : nat, 0 <= n -le_n_S: forall n m : nat, n <= m -> S n <= S m -max_l: forall n m : nat, m <= n -> Nat.max n m = n -max_r: forall n m : nat, n <= m -> Nat.max n m = m -min_l: forall n m : nat, n <= m -> Nat.min n m = n -min_r: forall n m : nat, m <= n -> Nat.min n m = m -true: bool false: bool -bool_rect: forall P : bool -> Type, P true -> P false -> forall b : bool, P b -bool_ind: forall P : bool -> Prop, P true -> P false -> forall b : bool, P b -bool_rec: forall P : bool -> Set, P true -> P false -> forall b : bool, P b -andb: bool -> bool -> bool -orb: bool -> bool -> bool -implb: bool -> bool -> bool -xorb: bool -> bool -> bool +true: bool +is_true: bool -> Prop negb: bool -> bool -andb_prop: forall a b : bool, (a && b)%bool = true -> a = true /\ b = true -andb_true_intro: - forall b1 b2 : bool, b1 = true /\ b2 = true -> (b1 && b2)%bool = true eq_true: bool -> Prop -eq_true_rect: - forall P : bool -> Type, P true -> forall b : bool, eq_true b -> P b -eq_true_ind: - forall P : bool -> Prop, P true -> forall b : bool, eq_true b -> P b +implb: bool -> bool -> bool +orb: bool -> bool -> bool +andb: bool -> bool -> bool +xorb: bool -> bool -> bool +Nat.even: nat -> bool +Nat.odd: nat -> bool +BoolSpec: Prop -> Prop -> bool -> Prop +Nat.eqb: nat -> nat -> bool +Nat.testbit: nat -> nat -> bool +Nat.ltb: nat -> nat -> bool +Nat.leb: nat -> nat -> bool +Nat.bitwise: (bool -> bool -> bool) -> nat -> nat -> nat -> nat +bool_ind: forall P : bool -> Prop, P true -> P false -> forall b : bool, P b +bool_rec: forall P : bool -> Set, P true -> P false -> forall b : bool, P b eq_true_rec: forall P : bool -> Set, P true -> forall b : bool, eq_true b -> P b -is_true: bool -> Prop -eq_true_ind_r: - forall (P : bool -> Prop) (b : bool), P b -> eq_true b -> P true -eq_true_rec_r: - forall (P : bool -> Set) (b : bool), P b -> eq_true b -> P true +eq_true_ind: + forall P : bool -> Prop, P true -> forall b : bool, eq_true b -> P b eq_true_rect_r: forall (P : bool -> Type) (b : bool), P b -> eq_true b -> P true -BoolSpec: Prop -> Prop -> bool -> Prop +eq_true_rec_r: + forall (P : bool -> Set) (b : bool), P b -> eq_true b -> P true +eq_true_rect: + forall P : bool -> Type, P true -> forall b : bool, eq_true b -> P b +bool_rect: forall P : bool -> Type, P true -> P false -> forall b : bool, P b +eq_true_ind_r: + forall (P : bool -> Prop) (b : bool), P b -> eq_true b -> P true +andb_true_intro: + forall b1 b2 : bool, b1 = true /\ b2 = true -> (b1 && b2)%bool = true +andb_prop: forall a b : bool, (a && b)%bool = true -> a = true /\ b = true BoolSpec_ind: forall (P Q : Prop) (P0 : bool -> Prop), (P -> P0 true) -> (Q -> P0 false) -> forall b : bool, BoolSpec P Q b -> P0 b -Nat.eqb: nat -> nat -> bool -Nat.leb: nat -> nat -> bool -Nat.ltb: nat -> nat -> bool -Nat.even: nat -> bool -Nat.odd: nat -> bool -Nat.testbit: nat -> nat -> bool -Nat.bitwise: (bool -> bool -> bool) -> nat -> nat -> nat -> nat bool_choice: forall (S : Set) (R1 R2 : S -> Prop), (forall x : S, {R1 x} + {R2 x}) -> {f : S -> bool | forall x : S, f x = true /\ R1 x \/ f x = false /\ R2 x} -eq_S: forall x y : nat, x = y -> S x = S y -f_equal_nat: forall (B : Type) (f : nat -> B) (x y : nat), x = y -> f x = f y -f_equal_pred: forall x y : nat, x = y -> Nat.pred x = Nat.pred y +mult_n_O: forall n : nat, 0 = n * 0 +plus_O_n: forall n : nat, 0 + n = n +plus_n_O: forall n : nat, n = n + 0 +n_Sn: forall n : nat, n <> S n pred_Sn: forall n : nat, n = Nat.pred (S n) +O_S: forall n : nat, 0 <> S n +f_equal_pred: forall x y : nat, x = y -> Nat.pred x = Nat.pred y +eq_S: forall x y : nat, x = y -> S x = S y eq_add_S: forall n m : nat, S n = S m -> n = m +min_r: forall n m : nat, m <= n -> Nat.min n m = m +min_l: forall n m : nat, n <= m -> Nat.min n m = n +max_r: forall n m : nat, n <= m -> Nat.max n m = m +max_l: forall n m : nat, m <= n -> Nat.max n m = n +plus_Sn_m: forall n m : nat, S n + m = S (n + m) +plus_n_Sm: forall n m : nat, S (n + m) = n + S m +f_equal_nat: forall (B : Type) (f : nat -> B) (x y : nat), x = y -> f x = f y not_eq_S: forall n m : nat, n <> m -> S n <> S m -O_S: forall n : nat, 0 <> S n -n_Sn: forall n : nat, n <> S n +mult_n_Sm: forall n m : nat, n * m + n = n * S m f_equal2_plus: forall x1 y1 x2 y2 : nat, x1 = y1 -> x2 = y2 -> x1 + x2 = y1 + y2 +f_equal2_mult: + forall x1 y1 x2 y2 : nat, x1 = y1 -> x2 = y2 -> x1 * x2 = y1 * y2 f_equal2_nat: forall (B : Type) (f : nat -> nat -> B) (x1 y1 x2 y2 : nat), x1 = y1 -> x2 = y2 -> f x1 x2 = f y1 y2 -plus_n_O: forall n : nat, n = n + 0 -plus_O_n: forall n : nat, 0 + n = n -plus_n_Sm: forall n m : nat, S (n + m) = n + S m -plus_Sn_m: forall n m : nat, S n + m = S (n + m) -f_equal2_mult: - forall x1 y1 x2 y2 : nat, x1 = y1 -> x2 = y2 -> x1 * x2 = y1 * y2 -mult_n_O: forall n : nat, 0 = n * 0 -mult_n_Sm: forall n m : nat, n * m + n = n * S m -max_l: forall n m : nat, m <= n -> Nat.max n m = n -max_r: forall n m : nat, n <= m -> Nat.max n m = m -min_l: forall n m : nat, n <= m -> Nat.min n m = n -min_r: forall n m : nat, m <= n -> Nat.min n m = m -andb_prop: forall a b : bool, (a && b)%bool = true -> a = true /\ b = true andb_true_intro: forall b1 b2 : bool, b1 = true /\ b2 = true -> (b1 && b2)%bool = true +andb_prop: forall a b : bool, (a && b)%bool = true -> a = true /\ b = true bool_choice: forall (S : Set) (R1 R2 : S -> Prop), (forall x : S, {R1 x} + {R2 x}) -> {f : S -> bool | forall x : S, f x = true /\ R1 x \/ f x = false /\ R2 x} -andb_prop: forall a b : bool, (a && b)%bool = true -> a = true /\ b = true andb_true_intro: forall b1 b2 : bool, b1 = true /\ b2 = true -> (b1 && b2)%bool = true andb_prop: forall a b : bool, (a && b)%bool = true -> a = true /\ b = true +andb_prop: forall a b : bool, (a && b)%bool = true -> a = true /\ b = true +h: n <> newdef n h': newdef n <> n h: n <> newdef n h': newdef n <> n h: n <> newdef n h: n <> newdef n h: n <> newdef n -h': ~ P n +h': newdef n <> n +The command has indeed failed with message: +No such goal. +The command has indeed failed with message: +Query commands only support the single numbered goal selector. +The command has indeed failed with message: +Query commands only support the single numbered goal selector. h: P n h': ~ P n h: P n h': ~ P n h: P n +h': ~ P n h: P n h: P n |