X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_fsb.ma;h=6055f11e3760c7312baeff5f6be2b549dbee86d9;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=7f754d97f0ecfd2531c11ab6ad672b8db6e9adb2;hpb=cacd7323994f7621286dbfd93bbf4c50acfbe918;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma index 7f754d97f..6055f11e3 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma @@ -21,21 +21,21 @@ include "basic_2/dynamic/cnv_aaa.ma". (* Note: this is the "big tree" theorem *) (* Basic_2A1: uses: snv_fwd_fsb *) -lemma cnv_fwd_fsb (a) (h): - ∀G,L,T. ⦃G,L⦄ ⊢ T ![a,h] → ≥[h] 𝐒⦃G,L,T⦄. -#a #h #G #L #T #H elim (cnv_fwd_aaa … H) -H /2 width=2 by aaa_fsb/ +lemma cnv_fwd_fsb (h) (a): + ∀G,L,T. ❪G,L❫ ⊢ T ![h,a] → ≥𝐒 ❪G,L,T❫. +#h #a #G #L #T #H elim (cnv_fwd_aaa … H) -H /2 width=2 by aaa_fsb/ qed-. (* Forward lemmas with strongly rt-normalizing terms ************************) -lemma cnv_fwd_csx (a) (h): - ∀G,L,T. ⦃G,L⦄ ⊢ T ![a,h] → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄. -#a #h #G #L #T #H -/3 width=2 by cnv_fwd_fsb, fsb_inv_csx/ +lemma cnv_fwd_csx (h) (a): + ∀G,L,T. ❪G,L❫ ⊢ T ![h,a] → ❪G,L❫ ⊢ ⬈*𝐒 T. +#h #a #G #L #T #H +/3 width=3 by cnv_fwd_fsb, fsb_inv_csx/ qed-. (* Inversion lemmas with proper parallel rst-computation for closures *******) -lemma cnv_fpbg_refl_false (a) (h): - ∀G,L,T. ⦃G,L⦄ ⊢ T ![a,h] → ⦃G,L,T⦄ >[h] ⦃G,L,T⦄ → ⊥. +lemma cnv_fpbg_refl_false (h) (a): + ∀G,L,T. ❪G,L❫ ⊢ T ![h,a] → ❪G,L,T❫ > ❪G,L,T❫ → ⊥. /3 width=7 by cnv_fwd_fsb, fsb_fpbg_refl_false/ qed-.