X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_fsb.ma;h=bf6732dab755823c3cdf7e153832c4ce975ad837;hb=f308429a0fde273605a2330efc63268b4ac36c99;hp=46c1255d6e0b6cd1445749de2b545e342a9560ae;hpb=4173283e148199871d787c53c0301891deb90713;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 46c1255d6..bf6732dab 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma @@ -20,12 +20,19 @@ include "basic_2/dynamic/cnv_aaa.ma". (* Forward lemmas with strongly rst-normalizing closures ********************) (* 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⦄. +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/ 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/ +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⦄ → ⊥. + ⦃G,L⦄ ⊢ T ![a,h] → ⦃G,L,T⦄ >[h] ⦃G,L,T⦄ → ⊥. /3 width=7 by cnv_fwd_fsb, fsb_fpbg_refl_false/ qed-.