diff options
| author |  Enrico Tassi <gareuselesinge@debian.org> | 2016-12-27 16:53:30 +0100 |
|---|---|---|
| committer | Enrico Tassi <gareuselesinge@debian.org> | 2016-12-27 16:53:30 +0100 |
| commit | a4c7f8bd98be2a200489325ff7c5061cf80ab4f3 (patch) | |
| tree | 26dd9c4aa142597ee09c887ef161d5f0fa5077b6 /theories/Arith/Le.v | |
| parent | 164c6861860e6b52818c031f901ffeff91fca16a (diff) | |
Imported Upstream version 8.6upstream/8.6
Diffstat (limited to 'theories/Arith/Le.v')
| -rw-r--r-- | theories/Arith/Le.v | 12 |
1 files changed, 6 insertions, 6 deletions
diff --git a/theories/Arith/Le.v b/theories/Arith/Le.v index ceb91187..0fbcec57 100644 --- a/theories/Arith/Le.v +++ b/theories/Arith/Le.v @@ -30,8 +30,8 @@ Notation le_refl := Nat.le_refl (compat "8.4"). Notation le_trans := Nat.le_trans (compat "8.4"). Notation le_antisym := Nat.le_antisymm (compat "8.4"). -Hint Resolve le_trans: arith v62. -Hint Immediate le_antisym: arith v62. +Hint Resolve le_trans: arith. +Hint Immediate le_antisym: arith. (** * Properties of [le] w.r.t 0 *) @@ -59,16 +59,16 @@ Notation le_Sn_n := Nat.nle_succ_diag_l (compat "8.4"). (* ~ S n <= n *) Theorem le_Sn_le : forall n m, S n <= m -> n <= m. Proof Nat.lt_le_incl. -Hint Resolve le_0_n le_Sn_0: arith v62. -Hint Resolve le_n_S le_n_Sn le_Sn_n : arith v62. -Hint Immediate le_n_0_eq le_Sn_le le_S_n : arith v62. +Hint Resolve le_0_n le_Sn_0: arith. +Hint Resolve le_n_S le_n_Sn le_Sn_n : arith. +Hint Immediate le_n_0_eq le_Sn_le le_S_n : arith. (** * Properties of [le] w.r.t predecessor *) Notation le_pred_n := Nat.le_pred_l (compat "8.4"). (* pred n <= n *) Notation le_pred := Nat.pred_le_mono (compat "8.4"). (* n<=m -> pred n <= pred m *) -Hint Resolve le_pred_n: arith v62. +Hint Resolve le_pred_n: arith. (** * A different elimination principle for the order on natural numbers *) |