diff options
author | herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-11-22 13:44:37 +0000 |
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committer | herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-11-22 13:44:37 +0000 |
commit | abfc10d044b4c31495f47c69c657619aa60bf9a6 (patch) | |
tree | 1ca3e4a722f6ef5409f3ecd2eab81a1f8d7dd6fd /theories/ZArith/auxiliary.v | |
parent | 3dac1f2b8c6afcd955db1f7a289cf377abc1af44 (diff) |
Compatibilite
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4973 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/ZArith/auxiliary.v')
-rw-r--r-- | theories/ZArith/auxiliary.v | 59 |
1 files changed, 57 insertions, 2 deletions
diff --git a/theories/ZArith/auxiliary.v b/theories/ZArith/auxiliary.v index 0d5becb59..3f713c5ed 100644 --- a/theories/ZArith/auxiliary.v +++ b/theories/ZArith/auxiliary.v @@ -160,5 +160,60 @@ Intros x y z H1 H2 H3; Apply Zlt_n_Sm_le; Apply Zmult_lt with x; [ Qed. -V7only [Notation OMEGA2 := Zle_0_plus.]. - +V7only [ +(* Compatibility *) +Require Znat. +Require Zcompare. +Notation neq := neq. +Notation Zne := Zne. +Notation OMEGA2 := Zle_0_plus. +Notation add_un_Zs := add_un_Zs. +Notation inj_S := inj_S. +Notation Zplus_S_n := Zplus_S_n. +Notation inj_plus := inj_plus. +Notation inj_mult := inj_mult. +Notation inj_neq := inj_neq. +Notation inj_le := inj_le. +Notation inj_lt := inj_lt. +Notation inj_gt := inj_gt. +Notation inj_ge := inj_ge. +Notation inj_eq := inj_eq. +Notation intro_Z := intro_Z. +Notation inj_minus1 := inj_minus1. +Notation inj_minus2 := inj_minus2. +Notation dec_eq := dec_eq. +Notation dec_Zne := dec_Zne. +Notation dec_Zle := dec_Zle. +Notation dec_Zgt := dec_Zgt. +Notation dec_Zge := dec_Zge. +Notation dec_Zlt := dec_Zlt. +Notation dec_eq_nat := dec_eq_nat. +Notation not_Zge := not_Zge. +Notation not_Zlt := not_Zlt. +Notation not_Zle := not_Zle. +Notation not_Zgt := not_Zgt. +Notation not_Zeq := not_Zeq. +Notation Zopp_one := Zopp_one. +Notation Zopp_Zmult_r := Zopp_Zmult_r. +Notation Zmult_Zopp_left := Zmult_Zopp_left. +Notation Zopp_Zmult_l := Zopp_Zmult_l. +Notation Zcompare_Zplus_compatible2 := Zcompare_Zplus_compatible2. +Notation Zcompare_Zmult_compatible := Zcompare_Zmult_compatible. +Notation Zmult_eq := Zmult_eq. +Notation Z_eq_mult := Z_eq_mult. +Notation Zmult_le := Zmult_le. +Notation Zle_ZERO_mult := Zle_ZERO_mult. +Notation Zgt_ZERO_mult := Zgt_ZERO_mult. +Notation Zle_mult := Zle_mult. +Notation Zmult_lt := Zmult_lt. +Notation Zmult_gt := Zmult_gt. +Notation Zle_Zmult_pos_right := Zle_Zmult_pos_right. +Notation Zle_Zmult_pos_left := Zle_Zmult_pos_left. +Notation Zge_Zmult_pos_right := Zge_Zmult_pos_right. +Notation Zge_Zmult_pos_left := Zge_Zmult_pos_left. +Notation Zge_Zmult_pos_compat := Zge_Zmult_pos_compat. +Notation Zle_mult_simpl := Zle_mult_simpl. +Notation Zge_mult_simpl := Zge_mult_simpl. +Notation Zgt_mult_simpl := Zgt_mult_simpl. +Notation Zgt_square_simpl := Zgt_square_simpl. +]. |