X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flfdeq_drops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flfdeq_drops.ma;h=70950458f1577fa6a72787b411321edcbd739944;hb=98fbba1b68d457807c73ebf70eb2a48696381da4;hp=38463c2fa966342f3d30b326484f22956cbdde70;hpb=65e6209e0758832835ba8d14304a1548d059a634;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_drops.ma index 38463c2fa..70950458f 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_drops.ma @@ -14,7 +14,7 @@ include "basic_2/relocation/lifts_tdeq.ma". include "basic_2/static/lfxs_drops.ma". -include "basic_2/static/lfdeq_fqup.ma". +include "basic_2/static/lfdeq.ma". (* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******) @@ -40,10 +40,10 @@ lemma lfdeq_inv_lifts_bi: ∀h,o,L1,L2,U. L1 ≡[h, o, U] L2 → ∀T. ⬆*[i] T ≡ U → K1 ≡[h, o, T] K2. /2 width=8 by lfxs_inv_lifts_bi/ qed-. -lemma lfdeq_inv_lref_sn: ∀h,o,L1,L2,i. L1 ≡[h, o, #i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 → - ∃∃K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 & K1 ≡[h, o, V1] K2 & V1 ≡[h, o] V2. -/2 width=3 by lfxs_inv_lref_sn/ qed-. +lemma lfdeq_inv_lref_pair_sn: ∀h,o,L1,L2,i. L1 ≡[h, o, #i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 → + ∃∃K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 & K1 ≡[h, o, V1] K2 & V1 ≡[h, o] V2. +/2 width=3 by lfxs_inv_lref_pair_sn/ qed-. -lemma lfdeq_inv_lref_dx: ∀h,o,L1,L2,i. L1 ≡[h, o, #i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 → - ∃∃K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 & K1 ≡[h, o, V1] K2 & V1 ≡[h, o] V2. -/2 width=3 by lfxs_inv_lref_dx/ qed-. +lemma lfdeq_inv_lref_pair_dx: ∀h,o,L1,L2,i. L1 ≡[h, o, #i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 → + ∃∃K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 & K1 ≡[h, o, V1] K2 & V1 ≡[h, o] V2. +/2 width=3 by lfxs_inv_lref_pair_dx/ qed-.