X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbg_fqup.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbg_fqup.ma;h=746aa695379d1a84b61276a50fb48f9a893b6f06;hb=db020b4218272e2e35641ce3bc3b0a9b3afda899;hp=ce02c890aa3a096ad3b30a74ce42bb50d3ad4ff8;hpb=d8f6494f48aa08bb32d9d1ac82fc16e9e41b76ac;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma index ce02c890a..746aa6953 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma @@ -17,16 +17,16 @@ include "basic_2/rt_computation/fpbg.ma". (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************) -(* Advanced properties with degree-based equivalence for terms **************) +(* Advanced properties with sort-irrelevant equivalence for terms ***********) -lemma fpbg_tdeq_div: ∀h,o,G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T⦄ → - ∀T2. T2 ≛[h, o] T → ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄. +lemma fpbg_tdeq_div: ∀h,G1,G2,L1,L2,T1,T. ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T⦄ → + ∀T2. T2 ≛ T → ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄. /4 width=5 by fpbg_fdeq_trans, tdeq_fdeq, tdeq_sym/ qed-. (* Properties with plus-iterated structural successor for closures **********) (* Note: this is used in the closure proof *) -lemma fqup_fpbg: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄. -#h #o #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqup_inv_step_sn … H) -H +lemma fqup_fpbg: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂+ ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄. +#h #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqup_inv_step_sn … H) -H /3 width=5 by fqus_fpbs, fpb_fqu, ex2_3_intro/ qed.