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=3660f103c9385fadd72c28d5a3df8bda44e73a49;hb=cc178d85bc4fec05b6a9dd176f338b3275beb3d9;hp=7acceab10134ebc9ccb84d48159e62d9254fa6f8;hpb=b118146b97959e6a6dde18fdd014b8e1e676a2d1;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 7acceab10..3660f103c 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 @@ -17,18 +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_teqx_div: - ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ > ❪G2,L2,T❫ → - ∀T2. T2 ≅ T → ❪G1,L1,T1❫ > ❪G2,L2,T2❫. -/4 width=5 by fpbg_feqx_trans, teqg_feqg, teqx_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: - ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫. -#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.