X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fjsx_rsx.ma;h=dd874f6aa9560f76255c128b6dcde8e2f36c1ee2;hp=4d294b2e21a8a052f3b83690689b23b90cedccf8;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_rsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_rsx.ma index 4d294b2e2..dd874f6aa 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_rsx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_rsx.ma @@ -22,8 +22,8 @@ include "basic_2/rt_computation/jsx.ma". (* Basic_2A1: uses: lsx_cpx_trans_lcosx *) lemma rsx_cpx_trans_jsx (h) (G): - ∀L0,T1,T2. ⦃G,L0⦄ ⊢ T1 ⬈[h] T2 → - ∀L. G ⊢ L0 ⊒[h] L → G ⊢ ⬈*[h,T1] 𝐒⦃L⦄ → G ⊢ ⬈*[h,T2] 𝐒⦃L⦄. + ∀L0,T1,T2. ❪G,L0❫ ⊢ T1 ⬈[h] T2 → + ∀L. G ⊢ L0 ⊒[h] L → G ⊢ ⬈*[h,T1] 𝐒❪L❫ → G ⊢ ⬈*[h,T2] 𝐒❪L❫. #h #G #L0 #T1 #T2 #H @(cpx_ind … H) -G -L0 -T1 -T2 [ // | // @@ -64,13 +64,13 @@ qed-. (* Basic_2A1: uses: lsx_cpx_trans_O *) lemma rsx_cpx_trans (h) (G): - ∀L,T1,T2. ⦃G,L⦄ ⊢ T1 ⬈[h] T2 → - G ⊢ ⬈*[h,T1] 𝐒⦃L⦄ → G ⊢ ⬈*[h,T2] 𝐒⦃L⦄. + ∀L,T1,T2. ❪G,L❫ ⊢ T1 ⬈[h] T2 → + G ⊢ ⬈*[h,T1] 𝐒❪L❫ → G ⊢ ⬈*[h,T2] 𝐒❪L❫. /3 width=6 by rsx_cpx_trans_jsx, jsx_refl/ qed-. lemma rsx_cpxs_trans (h) (G): - ∀L,T1,T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → - G ⊢ ⬈*[h,T1] 𝐒⦃L⦄ → G ⊢ ⬈*[h,T2] 𝐒⦃L⦄. + ∀L,T1,T2. ❪G,L❫ ⊢ T1 ⬈*[h] T2 → + G ⊢ ⬈*[h,T1] 𝐒❪L❫ → G ⊢ ⬈*[h,T2] 𝐒❪L❫. #h #G #L #T1 #T2 #H @(cpxs_ind_dx ???????? H) -T1 // /3 width=3 by rsx_cpx_trans/