X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbg_fqup.ma;h=029c086d30775c1e08a94e451f6c6fcbb4f0074d;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=6cebf2c2189fa767994166eff3f314ec77e5e0b4;hpb=afd4afa9489fa65019ad7cdc274e261f6993b871;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 6cebf2c21..029c086d3 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 @@ -17,10 +17,16 @@ include "basic_2/rt_computation/fpbg.ma". (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************) +(* Advanced properties with sort-irrelevant equivalence for terms ***********) + +lemma fpbg_teqx_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_feqx_trans, teqx_feqx, teqx_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.