diff options
Diffstat (limited to 'theories7/Arith/Plus.v')
| -rwxr-xr-x | theories7/Arith/Plus.v | 18 |
1 files changed, 16 insertions, 2 deletions
diff --git a/theories7/Arith/Plus.v b/theories7/Arith/Plus.v index ffa94fcd05..efd8ce83aa 100755 --- a/theories7/Arith/Plus.v +++ b/theories7/Arith/Plus.v @@ -73,7 +73,14 @@ Proof. Intros m p n; NewInduction n ; Simpl ; Auto with arith. Qed. V7only [ -Notation simpl_plus_l := [n,m,p:nat](plus_reg_l m p n). +(* Compatibility order of arguments *) +Notation "'simpl_plus_l' c" := [a,b:nat](plus_reg_l a b c) + (at level 10, c at next level). +Notation "'simpl_plus_l' c a" := [b:nat](plus_reg_l a b c) + (at level 10, a, c at next level). +Notation "'simpl_plus_l' c a b" := (plus_reg_l a b c) + (at level 10, a, b, c at next level). +Notation simpl_plus_l := plus_reg_l. ]. Lemma plus_le_reg_l : (n,m,p:nat) (p+n)<=(p+m) -> n<=m. @@ -81,7 +88,14 @@ Proof. NewInduction p; Simpl; Auto with arith. Qed. V7only [ -Notation simpl_le_plus_l := [p,n,m:nat](plus_le_reg_l n m p). +(* Compatibility order of arguments *) +Notation "'simpl_le_plus_l' c" := [a,b:nat](plus_le_reg_l a b c) + (at level 10, c at next level). +Notation "'simpl_le_plus_l' c a" := [b:nat](plus_le_reg_l a b c) + (at level 10, a, c at next level). +Notation "'simpl_le_plus_l' c a b" := (plus_le_reg_l a b c) + (at level 10, a, b, c at next level). +Notation simpl_le_plus_l := plus_reg_l. ]. Lemma simpl_lt_plus_l : (n,m,p:nat) (p+n)<(p+m) -> n<m. |