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_fdeq.ma;h=a08244671f39314be833ccefa859a5e5a5912c22;hp=afa9995d00274748ef58eb8cf823e52c019b5759;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fdeq.ma index afa9995d0..a08244671 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fdeq.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fdeq.ma @@ -21,9 +21,9 @@ include "basic_2/rt_transition/fpb_rdeq.ma". (* Properties with degree-based equivalence for closures ********************) (* Basic_2A1: uses: fleq_fpb_trans *) -lemma fdeq_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 fdeq_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 (tdeq_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_fdeq: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄ → - ⦃G1, L1, T1⦄ ≛ ⦃G2, L2, T2⦄ → ⊥. +lemma fpb_inv_fdeq: ∀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 (fdeq_inv_gen_sn … H) -H /3 width=11 by rdeq_fwd_length, fqu_inv_tdeq/