X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flprs_lpr.ma;h=8b6c42f09e21ffed46f84bd54f5fe363be731e9e;hb=829e3a8af3229c4e625245f7265dd67939da98c4;hp=0edc5d3b17c0b75008dd72ba159b8be6618e16a0;hpb=3c7b4071a9ac096b02334c1d47468776b948e2de;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma index 0edc5d3b1..8b6c42f09 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma @@ -21,33 +21,33 @@ include "basic_2/rt_computation/lprs_tc.ma". (* Basic_2A1: was: lprs_ind_dx *) lemma lprs_ind_sn (h) (G) (L2): ∀Q:predicate lenv. Q L2 → - (∀L1,L. ❪G,L1❫ ⊢ ➡[h,0] L → ❪G,L❫ ⊢ ➡*[h,0] L2 → Q L → Q L1) → - ∀L1. ❪G,L1❫ ⊢ ➡*[h,0] L2 → Q L1. + (∀L1,L. ❨G,L1❩ ⊢ ➡[h,0] L → ❨G,L❩ ⊢ ➡*[h,0] L2 → Q L → Q L1) → + ∀L1. ❨G,L1❩ ⊢ ➡*[h,0] L2 → Q L1. /4 width=8 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, cpr_refl, lex_CTC_ind_sn/ qed-. (* Basic_2A1: was: lprs_ind *) lemma lprs_ind_dx (h) (G) (L1): ∀Q:predicate lenv. Q L1 → - (∀L,L2. ❪G,L1❫ ⊢ ➡*[h,0] L → ❪G,L❫ ⊢ ➡[h,0] L2 → Q L → Q L2) → - ∀L2. ❪G,L1❫ ⊢ ➡*[h,0] L2 → Q L2. + (∀L,L2. ❨G,L1❩ ⊢ ➡*[h,0] L → ❨G,L❩ ⊢ ➡[h,0] L2 → Q L → Q L2) → + ∀L2. ❨G,L1❩ ⊢ ➡*[h,0] L2 → Q L2. /4 width=8 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, cpr_refl, lex_CTC_ind_dx/ qed-. (* Properties with extended rt-transition for full local environments *******) lemma lpr_lprs (h) (G): - ∀L1,L2. ❪G,L1❫ ⊢ ➡[h,0] L2 → ❪G,L1❫ ⊢ ➡*[h,0] L2. + ∀L1,L2. ❨G,L1❩ ⊢ ➡[h,0] L2 → ❨G,L1❩ ⊢ ➡*[h,0] L2. /4 width=3 by lprs_CTC, lpr_cprs_trans, lex_CTC_inj/ qed. (* Basic_2A1: was: lprs_strap2 *) lemma lprs_step_sn (h) (G): - ∀L1,L. ❪G,L1❫ ⊢ ➡[h,0] L → - ∀L2.❪G,L❫ ⊢ ➡*[h,0] L2 → ❪G,L1❫ ⊢ ➡*[h,0] L2. + ∀L1,L. ❨G,L1❩ ⊢ ➡[h,0] L → + ∀L2.❨G,L❩ ⊢ ➡*[h,0] L2 → ❨G,L1❩ ⊢ ➡*[h,0] L2. /4 width=3 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, lex_CTC_step_sn/ qed-. (* Basic_2A1: was: lpxs_strap1 *) lemma lprs_step_dx (h) (G): - ∀L1,L. ❪G,L1❫ ⊢ ➡*[h,0] L → - ∀L2. ❪G,L❫ ⊢ ➡[h,0] L2 → ❪G,L1❫ ⊢ ➡*[h,0] L2. + ∀L1,L. ❨G,L1❩ ⊢ ➡*[h,0] L → + ∀L2. ❨G,L❩ ⊢ ➡[h,0] L2 → ❨G,L1❩ ⊢ ➡*[h,0] L2. /4 width=3 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, lex_CTC_step_dx/ qed-. lemma lprs_strip (h) (G):