X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fpr_nat_basic.ma;h=9c93c6e237ba2d9d61e995106780d17337675547;hb=15a2da1b45b2fd34ac67dcb58fc4b94330d18a93;hp=edb5117aa928a021feca82f3d0df7c7036f993d2;hpb=6e4f8f6dc7ab7cdc0d9d852f6786947d3c4513cc;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_nat_basic.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_nat_basic.ma index edb5117aa..9c93c6e23 100644 --- a/matita/matita/contribs/lambdadelta/ground/relocation/pr_nat_basic.ma +++ b/matita/matita/contribs/lambdadelta/ground/relocation/pr_nat_basic.ma @@ -20,7 +20,7 @@ include "ground/relocation/pr_nat_uni.ma". (* Constructions with pr_basic **********************************************) lemma pr_nat_basic_lt (m) (n) (l): - l < m → @↑❨l, 𝐛❨m,n❩❩ ≘ l. + l < m → @§❨l, 𝐛❨m,n❩❩ ≘ l. #m @(nat_ind_succ … m) -m [ #n #i #H elim (nlt_inv_zero_dx … H) | #m #IH #n #l @(nat_ind_succ … l) -l @@ -33,7 +33,7 @@ lemma pr_nat_basic_lt (m) (n) (l): qed. lemma pr_nat_basic_ge (m) (n) (l): - m ≤ l → @↑❨l, 𝐛❨m,n❩❩ ≘ l+n. + m ≤ l → @§❨l, 𝐛❨m,n❩❩ ≘ l+n. #m @(nat_ind_succ … m) -m // #m #IH #n #l #H elim (nle_inv_succ_sn … H) -H #Hml #H >H -H @@ -43,9 +43,9 @@ qed. (* Inversions with pr_basic *************************************************) lemma pr_nat_basic_inv_lt (m) (n) (l) (k): - l < m → @↑❨l, 𝐛❨m,n❩❩ ≘ k → l = k. + l < m → @§❨l, 𝐛❨m,n❩❩ ≘ k → l = k. /3 width=4 by pr_nat_basic_lt, pr_nat_mono/ qed-. lemma pr_nat_basic_inv_ge (m) (n) (l) (k): - m ≤ l → @↑❨l, 𝐛❨m,n❩❩ ≘ k → l+n = k. + m ≤ l → @§❨l, 𝐛❨m,n❩❩ ≘ k → l+n = k. /3 width=4 by pr_nat_basic_ge, pr_nat_mono/ qed-.