X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Ffpbq_fpb.ma;h=1fa7b7209b12254bdd1a0b9b6c91f426e9a023e1;hb=b98ec1a1a37602eca524dc5487c357a200bbb5b6;hp=ac20a62590676f2533fb981b5180aee77996dfcb;hpb=c6305166703a17801bbd08a85fe93ef4abf8ff85;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma index ac20a6259..1fa7b7209 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -include "basic_2/rt_transition/fpb_ffdeq.ma". +include "basic_2/rt_transition/fpb_fdeq.ma". include "basic_2/rt_transition/fpbq.ma". (* PARALLEL RST-TRANSITION FOR CLOSURES *************************************) @@ -22,13 +22,13 @@ include "basic_2/rt_transition/fpbq.ma". lemma fpb_fpbq: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≽[h, o] ⦃G2, L2, T2⦄. #h #o #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2 -/3 width=1 by fpbq_fquq, fpbq_cpx, fpbq_lfpx, fqu_fquq/ +/3 width=1 by fpbq_fquq, fpbq_cpx, fpbq_lpx, fqu_fquq/ qed. (* Basic_2A1: fpb_fpbq_alt *) lemma fpb_fpbq_ffdneq: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h, o] ⦃G2, L2, T2⦄ → ∧∧ ⦃G1, L1, T1⦄ ≽[h, o] ⦃G2, L2, T2⦄ & (⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ⊥). -/3 width=10 by fpb_fpbq, fpb_inv_ffdeq, conj/ qed-. +/3 width=10 by fpb_fpbq, fpb_inv_fdeq, conj/ qed-. (* Inversrion lemmas with proper parallel rst-transition for closures *******) @@ -38,11 +38,11 @@ lemma fpbq_inv_fpb: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≽[h, o] ⦃G2, | ⦃G1, L1, T1⦄ ≻[h, o] ⦃G2, L2, T2⦄. #h #o #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2 [ #G2 #L2 #T2 * [2: * #H1 #H2 #H3 destruct ] - /3 width=1 by fpb_fqu, ffdeq_intro_sn, or_intror, or_introl/ + /3 width=1 by fpb_fqu, fdeq_intro_sn, or_intror, or_introl/ | #T2 #H elim (tdeq_dec h o T1 T2) - /4 width=1 by fpb_cpx, ffdeq_intro_sn, or_intror, or_introl/ -| #L2 elim (lfdeq_dec h o L1 L2 T1) - /4 width=1 by fpb_lfpx, ffdeq_intro_sn, or_intror, or_introl/ + /4 width=1 by fpb_cpx, fdeq_intro_sn, or_intror, or_introl/ +| #L2 elim (rdeq_dec h o L1 L2 T1) + /4 width=1 by fpb_lpx, fdeq_intro_sn, or_intror, or_introl/ | /2 width=1 by or_introl/ ] qed-.