diff options
Diffstat (limited to 'test-suite/output/PrintingParentheses.out')
| -rw-r--r-- | test-suite/output/PrintingParentheses.out | 28 |
1 files changed, 28 insertions, 0 deletions
diff --git a/test-suite/output/PrintingParentheses.out b/test-suite/output/PrintingParentheses.out new file mode 100644 index 0000000000..a5874f09a7 --- /dev/null +++ b/test-suite/output/PrintingParentheses.out @@ -0,0 +1,28 @@ +((1 + (2 * 3), 4), 5) + : (nat * nat) * nat +mult_n_Sm = +fun n m : nat => +nat_ind (fun n0 : nat => ((n0 * m) + n0) = (n0 * (S m))) eq_refl + (fun (p : nat) (H : ((p * m) + p) = (p * (S m))) => + let n0 := p * (S m) in + match H in (_ = y) return (((m + (p * m)) + (S p)) = (S (m + y))) with + | eq_refl => + eq_ind (S ((m + (p * m)) + p)) + (fun n1 : nat => n1 = (S (m + ((p * m) + p)))) + (eq_S ((m + (p * m)) + p) (m + ((p * m) + p)) + (nat_ind + (fun n1 : nat => ((n1 + (p * m)) + p) = (n1 + ((p * m) + p))) + eq_refl + (fun (n1 : nat) + (H0 : ((n1 + (p * m)) + p) = (n1 + ((p * m) + p))) => + f_equal_nat nat S ((n1 + (p * m)) + p) + (n1 + ((p * m) + p)) H0) m)) ((m + (p * m)) + (S p)) + (plus_n_Sm (m + (p * m)) p) + end) n + : forall n m : nat, ((n * m) + n) = (n * (S m)) + +Arguments mult_n_Sm (_ _)%nat_scope +1 :: (2 :: [3; 4]) + : list nat +{0 = 1} + {2 <= (4 + 5)} + : Set |
