X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_equivalence%2Fcpes_cpms.ma;h=fcf9969382bc0808de5fb1c08907dbec98b6c99f;hb=cfd201c62dd9b854bfb4ada648d3e556b29fac3a;hp=48b0ceb1cf5774079e792e1c8033e9eab3b4768c;hpb=5b5dca0c118dfbe3ba8f0514ef07549544eb7810;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes_cpms.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes_cpms.ma index 48b0ceb1c..fcf996938 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes_cpms.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes_cpms.ma @@ -20,16 +20,16 @@ include "basic_2/rt_equivalence/cpes.ma". (* Properties with t-bound rt-computation on terms **************************) lemma cpes_cprs_trans (h) (n) (G) (L) (T0): - ∀T1. ⦃G,L⦄ ⊢ T1 ⬌*[h,n,0] T0 → - ∀T2. ⦃G,L⦄ ⊢ T0 ➡*[h] T2 → ⦃G,L⦄ ⊢ T1 ⬌*[h,n,0] T2. + ∀T1. ❨G,L❩ ⊢ T1 ⬌*[h,n,0] T0 → + ∀T2. ❨G,L❩ ⊢ T0 ➡*[h,0] T2 → ❨G,L❩ ⊢ T1 ⬌*[h,n,0] T2. #h #n #G #L #T0 #T1 * #T #HT1 #HT0 #T2 #HT02 elim (cprs_conf … HT0 … HT02) -T0 #T0 #HT0 #HT20 /3 width=3 by cpms_div, cpms_cprs_trans/ qed-. lemma cpes_cpms_div (h) (n) (n1) (n2) (G) (L) (T0): - ∀T1. ⦃G,L⦄ ⊢ T1 ⬌*[h,n,n1] T0 → - ∀T2. ⦃G,L⦄ ⊢ T2 ➡*[n2,h] T0 → ⦃G,L⦄ ⊢ T1 ⬌*[h,n,n2+n1] T2. + ∀T1. ❨G,L❩ ⊢ T1 ⬌*[h,n,n1] T0 → + ∀T2. ❨G,L❩ ⊢ T2 ➡*[h,n2] T0 → ❨G,L❩ ⊢ T1 ⬌*[h,n,n2+n1] T2. #h #n #n1 #n2 #G #L #T0 #T1 * #T #HT1 #HT0 #T2 #HT20 lapply (cpms_trans … HT20 … HT0) -T0 #HT2 /2 width=3 by cpms_div/