X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffdeq_fqus.ma;h=9662b6b325895b7037e81553336ae370a441322d;hp=4274cd40fc1ebc6d5d7f2d1e3479380f9fb534bf;hb=4173283e148199871d787c53c0301891deb90713;hpb=a67fc50ccfda64377e2c94c18c3a0d9265f651db diff --git a/matita/matita/contribs/lambdadelta/static_2/static/fdeq_fqus.ma b/matita/matita/contribs/lambdadelta/static_2/static/fdeq_fqus.ma index 4274cd40f..9662b6b32 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/fdeq_fqus.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/fdeq_fqus.ma @@ -15,14 +15,14 @@ include "static_2/static/rdeq_fqus.ma". include "static_2/static/fdeq.ma". -(* DEGREE-BASED EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES ****************) +(* SORT-IRRELEVANT EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *************) (* Properties with star-iterated structural successor for closures **********) -lemma fdeq_fqus_trans: ∀h,o,b,G1,G,L1,L,T1,T. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G, L, T⦄ → +lemma fdeq_fqus_trans: ∀b,G1,G,L1,L,T1,T. ⦃G1, L1, T1⦄ ≛ ⦃G, L, T⦄ → ∀G2,L2,T2. ⦃G, L, T⦄ ⊐*[b] ⦃G2, L2, T2⦄ → - ∃∃G,L0,T0. ⦃G1, L1, T1⦄ ⊐*[b] ⦃G, L0, T0⦄ & ⦃G, L0, T0⦄ ≛[h, o] ⦃G2, L2, T2⦄. -#h #o #b #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H2 + ∃∃G,L0,T0. ⦃G1, L1, T1⦄ ⊐*[b] ⦃G, L0, T0⦄ & ⦃G, L0, T0⦄ ≛ ⦃G2, L2, T2⦄. +#b #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H2 elim(fdeq_inv_gen_dx … H1) -H1 #HG #HL1 #HT1 destruct elim (rdeq_fqus_trans … H2 … HL1) -L #L #T0 #H2 #HT02 #HL2 elim (tdeq_fqus_trans … H2 … HT1) -T #L0 #T #H2 #HT0 #HL0