X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpms_fpbg.ma;h=09a2e9ceb0050e957ae4d28c84684ec7cebd15eb;hp=b96b5fcc62452c9aa383b070bb169d569a052e94;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hpb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea 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 b96b5fcc6..09a2e9ceb 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 @@ -22,27 +22,27 @@ include "basic_2/rt_computation/cpms_fpbs.ma". lemma cpms_tneqx_fwd_fpbg (h) (n): ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ➡*[h,n] T2 → - (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ >[h] ❪G,L,T2❫. -/3 width=2 by cpms_fwd_cpxs, cpxs_tneqx_fpbg/ qed-. + (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ > ❪G,L,T2❫. +/3 width=3 by cpms_fwd_cpxs, cpxs_tneqx_fpbg/ qed-. lemma fpbg_cpms_trans (h) (n): - ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ >[h] ❪G2,L2,T❫ → - ∀T2. ❪G2,L2❫ ⊢ T ➡*[h,n] T2 → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫. + ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ > ❪G2,L2,T❫ → + ∀T2. ❪G2,L2❫ ⊢ T ➡*[h,n] T2 → ❪G1,L1,T1❫ > ❪G2,L2,T2❫. /3 width=5 by fpbg_fpbs_trans, cpms_fwd_fpbs/ qed-. lemma cpms_fpbg_trans (h) (n): ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ➡*[h,n] T → - ∀G2,L2,T2. ❪G1,L1,T❫ >[h] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫. + ∀G2,L2,T2. ❪G1,L1,T❫ > ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫. /3 width=5 by fpbs_fpbg_trans, cpms_fwd_fpbs/ qed-. lemma fqup_cpms_fwd_fpbg (h): ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T❫ → - ∀n,T2. ❪G2,L2❫ ⊢ T ➡*[h,n] T2 → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫. + ∀n,T2. ❪G2,L2❫ ⊢ T ➡*[h,n] T2 → ❪G1,L1,T1❫ > ❪G2,L2,T2❫. /3 width=5 by cpms_fwd_fpbs, fqup_fpbg, fpbg_fpbs_trans/ qed-. lemma cpm_tneqx_cpm_cpms_teqx_sym_fwd_fpbg (h) (G) (L) (T1): ∀n1,T. ❪G,L❫ ⊢ T1 ➡[h,n1] T → (T1 ≛ T → ⊥) → - ∀n2,T2. ❪G,L❫⊢ T ➡*[h,n2] T2 → T1 ≛ T2 → ❪G,L,T1❫ >[h] ❪G,L,T1❫. + ∀n2,T2. ❪G,L❫⊢ T ➡*[h,n2] T2 → T1 ≛ T2 → ❪G,L,T1❫ > ❪G,L,T1❫. #h #G #L #T1 #n1 #T #H1T1 #H2T1 #n2 #T2 #H1T2 #H2T12 /4 width=7 by cpms_fwd_fpbs, cpm_fpb, fpbs_teqx_trans, teqx_sym, ex2_3_intro/ qed-.