X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpms_fpbg.ma;h=8c0c3204e23750ebf07f03f606674b5b0bb7018f;hb=a67fc50ccfda64377e2c94c18c3a0d9265f651db;hp=ea81fda63064b3edb93c7029293187503f983fd3;hpb=b98ec1a1a37602eca524dc5487c357a200bbb5b6;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma index ea81fda63..8c0c3204e 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma @@ -13,16 +13,16 @@ (**************************************************************************) include "basic_2/rt_computation/fpbg_fqup.ma". -include "basic_2/rt_computation/fpbg_fpbs.ma". +include "basic_2/rt_computation/fpbg_cpxs.ma". include "basic_2/rt_computation/cpms_fpbs.ma". (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************) (* Forward lemmas with proper parallel rst-computation for closures *********) -lemma fqup_cpms_fwd_fpbg (h) (o): ∀G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T⦄ → - ∀n,T2. ⦃G2, L2⦄ ⊢ T ➡*[n,h] T2 → ⦃G1, L1, T1⦄ >[h,o] ⦃G2, L2, T2⦄. -/3 width=5 by cpms_fwd_fpbs, fqup_fpbg,fpbg_fpbs_trans/ qed-. +lemma cpms_tdneq_fwd_fpbg (h) (o) (n): ∀G,L,T1,T2. ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2 → + (T1 ≛[h,o] T2 → ⊥) → ⦃G,L,T1⦄ >[h,o] ⦃G,L,T2⦄. +/3 width=2 by cpms_fwd_cpxs, cpxs_tdneq_fpbg/ qed-. lemma fpbg_cpms_trans (h) (o) (n): ∀G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ >[h,o] ⦃G2, L2, T⦄ → ∀T2. ⦃G2, L2⦄ ⊢ T ➡*[n,h] T2 → ⦃G1, L1, T1⦄ >[h,o] ⦃G2, L2, T2⦄. @@ -31,3 +31,14 @@ lemma fpbg_cpms_trans (h) (o) (n): ∀G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ >[h,o] lemma cpms_fpbg_trans (h) (o) (n): ∀G1,L1,T1,T. ⦃G1, L1⦄ ⊢ T1 ➡*[n,h] T → ∀G2,L2,T2. ⦃G1, L1, T⦄ >[h,o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h,o] ⦃G2, L2, T2⦄. /3 width=5 by fpbs_fpbg_trans, cpms_fwd_fpbs/ qed-. + +lemma fqup_cpms_fwd_fpbg (h) (o): ∀G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T⦄ → + ∀n,T2. ⦃G2, L2⦄ ⊢ T ➡*[n,h] T2 → ⦃G1, L1, T1⦄ >[h,o] ⦃G2, L2, T2⦄. +/3 width=5 by cpms_fwd_fpbs, fqup_fpbg,fpbg_fpbs_trans/ qed-. + +lemma cpm_tdneq_cpm_cpms_tdeq_sym_fwd_fpbg (h) (o) (G) (L) (T1): + ∀n1,T. ⦃G,L⦄ ⊢ T1 ➡[n1,h] T → (T1 ≛[h,o] T → ⊥) → + ∀n2,T2. ⦃G,L⦄⊢ T ➡*[n2,h] T2 → T1 ≛[h,o] T2 → ⦃G,L,T1⦄ >[h,o] ⦃G,L,T1⦄. +#h #o #G #L #T1 #n1 #T #H1T1 #H2T1 #n2 #T2 #H1T2 #H2T12 +/4 width=7 by cpms_fwd_fpbs, cpm_fpb, fpbs_tdeq_trans, tdeq_sym, ex2_3_intro/ +qed-.