milestone update in ground, partial commit

[helm.git] / matita / matita / contribs / lambdadelta / ground / arith / nat_lt_minus_plus.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/arith/nat_lt_minus_plus.ma b/matita/matita/contribs/lambdadelta/ground/arith/nat_lt_minus_plus.ma
index 0f010602171f4a7c7caef312fd6ef733433d6449..b5d38ea0c17177df789b90b62362be1f2f1280a3 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground/arith/nat_lt_minus_plus.ma
+++ b/matita/matita/contribs/lambdadelta/ground/arith/nat_lt_minus_plus.ma
@@ -22,17 +22,17 @@ include "ground/arith/nat_lt_minus.ma".
 (*** lt_plus_to_minus *)
 lemma nlt_minus_sn (o) (m) (n): m ≤ n → n < o + m → n - m < o.
 #o #m #n #Hmn #Ho
-lapply (nle_minus_sn … Ho) -Ho
+lapply (nle_minus_sn_sn … Ho) -Ho
 <nminus_succ_sn //
 qed.
 
 (*** lt_plus_to_minus_r *)
 lemma nlt_minus_dx (o) (m) (n): m + o < n → m < n - o.
-/2 width=1 by nle_minus_dx/ qed.
+/2 width=1 by nle_minus_dx_sn/ qed.
 
 (*** lt_inv_plus_l *)
 lemma nlt_minus_dx_full (o) (m) (n): m + o < n → ∧∧ o < n & m < n - o.
-/3 width=3 by nlt_minus_dx, le_nlt_trans, conj/ qed-.
+/3 width=3 by nlt_minus_dx, nle_nlt_trans, conj/ qed-.
 
 (* Inversions with nminus and nplus *****************************************)
 
@@ -47,5 +47,5 @@ qed-.
 lemma nlt_inv_minus_dx (o) (m) (n): m < n - o → m + o < n.
 #o #m #n #Ho
 lapply (nle_inv_minus_dx ???? Ho) //
-/3 width=2 by nlt_fwd_minus_dx, nlt_des_le/
+/3 width=2 by nlt_des_minus_dx, nlt_des_le/
 qed-.