diff options
Diffstat (limited to 'test-suite/output/SearchHead.out')
| -rw-r--r-- | test-suite/output/SearchHead.out | 42 |
1 files changed, 21 insertions, 21 deletions
diff --git a/test-suite/output/SearchHead.out b/test-suite/output/SearchHead.out index 0d5924ec..7038eac2 100644 --- a/test-suite/output/SearchHead.out +++ b/test-suite/output/SearchHead.out @@ -1,39 +1,39 @@ 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_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 -true: bool +le_S_n: forall n m : nat, S n <= S m -> n <= m false: bool -andb: bool -> bool -> bool -orb: bool -> bool -> bool +true: bool +negb: bool -> bool implb: bool -> bool -> bool +orb: bool -> bool -> bool +andb: bool -> bool -> bool xorb: bool -> bool -> bool -negb: bool -> bool -Nat.eqb: nat -> nat -> bool -Nat.leb: nat -> nat -> bool -Nat.ltb: nat -> nat -> bool Nat.even: nat -> bool Nat.odd: nat -> bool +Nat.leb: nat -> nat -> bool +Nat.ltb: nat -> nat -> bool Nat.testbit: nat -> nat -> bool -eq_S: forall x y : nat, x = y -> S x = S y -f_equal_pred: forall x y : nat, x = y -> Nat.pred x = Nat.pred y +Nat.eqb: nat -> nat -> bool +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 pred_Sn: forall n : nat, n = Nat.pred (S n) +f_equal_pred: forall x y : nat, x = y -> Nat.pred x = Nat.pred y eq_add_S: forall n m : nat, S n = S m -> n = m -f_equal2_plus: - forall x1 y1 x2 y2 : nat, x1 = y1 -> x2 = y2 -> x1 + x2 = y1 + y2 -plus_n_O: forall n : nat, n = n + 0 -plus_O_n: forall n : nat, 0 + n = n +eq_S: forall x y : nat, x = y -> S x = S y +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 +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 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) +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 -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 h: newdef n h: P n |