X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Farith%2Fynat_le_lminus_plus.ma;h=3b56c47488929387c84997f87e8830f3866f572d;hp=b45afa8d4deb232523e1dd0a70ac95a8d3582476;hb=4d232392091ee233afc26ecf3120dd5f5c6a33c8;hpb=da0775e27b362e91ea1453a800bc403781cc2ca3 diff --git a/matita/matita/contribs/lambdadelta/ground/arith/ynat_le_lminus_plus.ma b/matita/matita/contribs/lambdadelta/ground/arith/ynat_le_lminus_plus.ma index b45afa8d4..3b56c4748 100644 --- a/matita/matita/contribs/lambdadelta/ground/arith/ynat_le_lminus_plus.ma +++ b/matita/matita/contribs/lambdadelta/ground/arith/ynat_le_lminus_plus.ma @@ -19,7 +19,7 @@ include "ground/arith/ynat_le_lminus.ma". (* ORDER FOR NON-NEGATIVE INTEGERS WITH INFINITY ****************************) -(* Constructions with yminus and yplus **************************************) +(* Constructions with ylminus and yplus *************************************) (*** yle_plus1_to_minus_inj2 *) lemma yle_plus_sn_dx_lminus_dx (n) (x) (z): @@ -43,7 +43,7 @@ lemma yle_plus_dx_sn_lminus_sn (o) (x) (y): x ≤ yinj_nat o + y → x - o ≤ y. /2 width=1 by yle_plus_dx_dx_lminus_sn/ qed. -(* Destructions with yminus and yplus ***************************************) +(* Destructions with ylminus and yplus **************************************) (*** yplus_minus_comm_inj *) lemma ylminus_plus_comm_23 (n) (x) (z): @@ -77,7 +77,7 @@ lemma ylminus_assoc_comm_23 (n) (o) (x): ] qed-. -(* Inversions with yminus and yplus *****************************************) +(* Inversions with ylminus and yplus ****************************************) (*** yminus_plus *) lemma yplus_lminus_sn_refl_sn (n) (x): @@ -95,7 +95,7 @@ lemma eq_inv_yplus_bi_inj_md (n1) (m2) (x1) (y2): #n1 #m2 #x1 #y2 #Hnx1 #H12 lapply (yle_plus_bi_dx (yinj_nat m2) … Hnx1) >H12 #H lapply (yle_inv_plus_bi_sn_inj … H) -H #Hmy2 -generalize in match H12; -H12 (**) (* rewrite in hyp *) +generalize in match H12; -H12 (* * rewrite in hyp *) >(yplus_lminus_sn_refl_sn … Hmy2) in ⊢ (%→?); (yplus_lminus_dx_refl_sn … Hnx1) in ⊢ (%→?); -Hnx1 #H