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Diffstat (limited to 'test-suite/modules/Nat.v')
-rw-r--r-- | test-suite/modules/Nat.v | 19 |
1 files changed, 19 insertions, 0 deletions
diff --git a/test-suite/modules/Nat.v b/test-suite/modules/Nat.v new file mode 100644 index 00000000..d3e98ae4 --- /dev/null +++ b/test-suite/modules/Nat.v @@ -0,0 +1,19 @@ +Definition T:=nat. + +Definition le:=Peano.le. + +Hints Unfold le. + +Lemma le_refl:(n:nat)(le n n). + Auto. +Qed. + +Require Le. + +Lemma le_trans:(n,m,k:nat)(le n m) -> (le m k) -> (le n k). + EAuto with arith. +Qed. + +Lemma le_antis:(n,m:nat)(le n m) -> (le m n) -> n=m. + EAuto with arith. +Qed. |