X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Faaa_rdeq.ma;h=265ed7f5c38895bd31a8b40bd6419dd29f8f6cef;hp=23760c8bd3d829e0565a748dfdfc88dbcc175456;hb=4173283e148199871d787c53c0301891deb90713;hpb=a67fc50ccfda64377e2c94c18c3a0d9265f651db diff --git a/matita/matita/contribs/lambdadelta/static_2/static/aaa_rdeq.ma b/matita/matita/contribs/lambdadelta/static_2/static/aaa_rdeq.ma index 23760c8bd..265ed7f5c 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/aaa_rdeq.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/aaa_rdeq.ma @@ -17,11 +17,11 @@ include "static_2/static/aaa.ma". (* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************) -(* Properties with degree-based equivalence on referred entries *************) +(* Properties with sort-irrelevant equivalence on referred entries **********) -lemma aaa_tdeq_conf_rdeq: ∀h,o,G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A → ∀T2. T1 ≛[h, o] T2 → - ∀L2. L1 ≛[h, o, T1] L2 → ⦃G, L2⦄ ⊢ T2 ⁝ A. -#h #o #G #L1 #T1 #A #H elim H -G -L1 -T1 -A +lemma aaa_tdeq_conf_rdeq: ∀G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A → ∀T2. T1 ≛ T2 → + ∀L2. L1 ≛[T1] L2 → ⦃G, L2⦄ ⊢ T2 ⁝ A. +#G #L1 #T1 #A #H elim H -G -L1 -T1 -A [ #G #L1 #s1 #X #H1 elim (tdeq_inv_sort1 … H1) -H1 // | #I #G #L1 #V1 #B #_ #IH #X #H1 >(tdeq_inv_lref1 … H1) -H1 #Y #H2 elim (rdeq_inv_zero_pair_sn … H2) -H2