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=37681f1fa5ce4a0d3966880f3b5594edf7ef2dfe;hb=e23331eef5817eaa6c5e1c442d1d6bbb18650573;hp=746aa695379d1a84b61276a50fb48f9a893b6f06;hpb=5b5dca0c118dfbe3ba8f0514ef07549544eb7810;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 746aa6953..37681f1fa 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 +17,13 @@ include "basic_2/rt_computation/fpbg.ma". (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************) -(* Advanced properties with sort-irrelevant equivalence for terms ***********) +(* Advanced properties ******************************************************) -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-. +lemma fpbc_fpbg (G1) (G2) (L1) (L2) (T1) (T2): + ❪G1,L1,T1❫ ≻ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫. +/3 width=13 by fpbg_intro, fpb_fpbs/ qed. -(* Properties with plus-iterated structural successor for closures **********) - -(* Note: this is used in the closure proof *) -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. +lemma fpbc_fpbs_fpbg (G) (L) (T): + ∀G1,L1,T1. ❪G1,L1,T1❫ ≻ ❪G,L,T❫ → + ∀G2,L2,T2. ❪G,L,T❫ ≥ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫. +/2 width=9 by fpbg_intro/ qed.