X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Ffpb_feqx.ma;h=633b7c43cc99a4a0ff7b8ba4260022e984a0773c;hp=0dac369a3473b59036defd2dd2bfb19ad0089e3b;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_feqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_feqx.ma index 0dac369a3..633b7c43c 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_feqx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_feqx.ma @@ -21,9 +21,9 @@ include "basic_2/rt_transition/fpb_reqx.ma". (* Properties with degree-based equivalence for closures ********************) (* Basic_2A1: uses: fleq_fpb_trans *) -lemma feqx_fpb_trans: ∀h,F1,F2,K1,K2,T1,T2. ⦃F1,K1,T1⦄ ≛ ⦃F2,K2,T2⦄ → - ∀G2,L2,U2. ⦃F2,K2,T2⦄ ≻[h] ⦃G2,L2,U2⦄ → - ∃∃G1,L1,U1. ⦃F1,K1,T1⦄ ≻[h] ⦃G1,L1,U1⦄ & ⦃G1,L1,U1⦄ ≛ ⦃G2,L2,U2⦄. +lemma feqx_fpb_trans: ∀h,F1,F2,K1,K2,T1,T2. ❪F1,K1,T1❫ ≛ ❪F2,K2,T2❫ → + ∀G2,L2,U2. ❪F2,K2,T2❫ ≻[h] ❪G2,L2,U2❫ → + ∃∃G1,L1,U1. ❪F1,K1,T1❫ ≻[h] ❪G1,L1,U1❫ & ❪G1,L1,U1❫ ≛ ❪G2,L2,U2❫. #h #F1 #F2 #K1 #K2 #T1 #T2 * -F2 -K2 -T2 #K2 #T2 #HK12 #HT12 #G2 #L2 #U2 #H12 elim (teqx_fpb_trans … HT12 … H12) -T2 #K0 #T0 #H #HT0 #HK0 @@ -35,8 +35,8 @@ qed-. (* Inversion lemmas with degree-based equivalence for closures **************) (* Basic_2A1: uses: fpb_inv_fleq *) -lemma fpb_inv_feqx: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ≻[h] ⦃G2,L2,T2⦄ → - ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T2⦄ → ⊥. +lemma fpb_inv_feqx: ∀h,G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → + ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → ⊥. #h #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2 [ #G2 #L2 #T2 #H12 #H elim (feqx_inv_gen_sn … H) -H /3 width=11 by reqx_fwd_length, fqu_inv_teqx/