X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_cpmre.ma;h=c8c11b2b02c3a58172c4f2a0ba24d55fbe633e64;hb=11093619476326238c2ef9d2dfe9150b8c9bc920;hp=709b47242fbd6217adff158d1c1ba902ce3b9b2d;hpb=adb9ba187619cea977d1d22971eba27eb437cd6a;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma index 709b47242..c8c11b2b0 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma @@ -21,15 +21,15 @@ include "basic_2/dynamic/cnv_preserve.ma". (* Properties with t-bound evaluation on terms ******************************) lemma cnv_cpmre_trans (h) (a) (n) (G) (L): - ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] → - ∀T2. ⦃G,L⦄ ⊢ T1 ➡*[h,n] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T2 ![h,a]. + ∀T1. ❨G,L❩ ⊢ T1 ![h,a] → + ∀T2. ❨G,L❩ ⊢ T1 ➡*𝐍[h,n] T2 → ❨G,L❩ ⊢ T2 ![h,a]. #h #a #n #G #L #T1 #HT1 #T2 * #HT12 #_ /2 width=4 by cnv_cpms_trans/ qed-. lemma cnv_cpmre_cpms_conf (h) (a) (n) (G) (L): - ∀T. ⦃G,L⦄ ⊢ T ![h,a] → ∀T1. ⦃G,L⦄ ⊢ T ➡*[n,h] T1 → - ∀T2. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T1 ➡*[h] 𝐍⦃T2⦄. + ∀T. ❨G,L❩ ⊢ T ![h,a] → ∀T1. ❨G,L❩ ⊢ T ➡*[h,n] T1 → + ∀T2. ❨G,L❩ ⊢ T ➡*𝐍[h,n] T2 → ❨G,L❩ ⊢ T1 ➡*𝐍[h,0] T2. #h #a #n #G #L #T0 #HT0 #T1 #HT01 #T2 * #HT02 #HT2 elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0