X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fjsx_rsx.ma;h=dd874f6aa9560f76255c128b6dcde8e2f36c1ee2;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=e5e662dc6b57ead0adfd9df6a382dd88d44aa5ad;hpb=a454837a256907d2f83d42ced7be847e10361ea9;p=helm.git 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 e5e662dc6..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 @@ -22,39 +22,38 @@ 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 → - ∀f,L. G ⊢ L0 ⊒[h,f] 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 [ // | // -| #I0 #G #K0 #V1 #V2 #W2 #_ #IH #HVW2 #g #L #HK0 #HL - elim (jsx_inv_pair_sn_gen … HK0) -HK0 * - [ #f #K #HK0 #H1 #H2 destruct +| #I0 #G #K0 #V1 #V2 #W2 #_ #IH #HVW2 #L #HK0 #HL + elim (jsx_inv_pair_sn … HK0) -HK0 * + [ #K #HK0 #H destruct /4 width=8 by rsx_lifts, rsx_fwd_pair, drops_refl, drops_drop/ - | #f #K #HV1 #HK0 #H1 #H2 destruct + | #K #HK0 #HV1 #H destruct /4 width=8 by rsx_lifts, drops_refl, drops_drop/ ] -| #I0 #G #K0 #T #U #i #_ #IH #HTU #g #L #HK0 #HL +| #I0 #G #K0 #T #U #i #_ #IH #HTU #L #HK0 #HL elim (jsx_fwd_bind_sn … HK0) -HK0 #I #K #HK0 #H destruct /6 width=8 by rsx_inv_lifts, rsx_lifts, drops_refl, drops_drop/ -| #p #I0 #G #L0 #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #f #L #HL0 #HL +| #p #I0 #G #L0 #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #L #HL0 #HL elim (rsx_inv_bind_void … HL) -HL /4 width=2 by jsx_pair, rsx_bind_void/ -| #I0 #G #L0 #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #f #L #HL0 #HL +| #I0 #G #L0 #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #L #HL0 #HL elim (rsx_inv_flat … HL) -HL /3 width=2 by rsx_flat/ -| #G #L0 #V #U1 #T1 #T2 #HTU1 #_ #IHT12 #f #L #HL0 #HL +| #G #L0 #V #U1 #T1 #T2 #HTU1 #_ #IHT12 #L #HL0 #HL elim (rsx_inv_bind_void … HL) -HL #HV #HU1 /5 width=8 by rsx_inv_lifts, drops_refl, drops_drop/ -| #G #L0 #V #T1 #T2 #_ #IHT12 #f #L #HL0 #HL +| #G #L0 #V #T1 #T2 #_ #IHT12 #L #HL0 #HL elim (rsx_inv_flat … HL) -HL /2 width=2 by/ -| #G #L0 #V1 #V2 #T #_ #IHV12 #f #L #HL0 #HL +| #G #L0 #V1 #V2 #T #_ #IHV12 #L #HL0 #HL elim (rsx_inv_flat … HL) -HL /2 width=2 by/ -| #p #G #L0 #V1 #V2 #W1 #W2 #T1 #T2 #_ #_ #_ #IHV12 #IHW12 #IHT12 #f #L #HL0 #HL +| #p #G #L0 #V1 #V2 #W1 #W2 #T1 #T2 #_ #_ #_ #IHV12 #IHW12 #IHT12 #L #HL0 #HL elim (rsx_inv_flat … HL) -HL #HV1 #HL elim (rsx_inv_bind_void … HL) -HL #HW1 #HT1 /4 width=2 by jsx_pair, rsx_bind_void, rsx_flat/ -| #p #G #L0 #V1 #V2 #U2 #W1 #W2 #T1 #T2 #_ #_ #_ #IHV12 #IHW12 #IHT12 #HVU2 #f #L #HL0 #HL +| #p #G #L0 #V1 #V2 #U2 #W1 #W2 #T1 #T2 #_ #_ #_ #IHV12 #IHW12 #IHT12 #HVU2 #L #HL0 #HL elim (rsx_inv_flat … HL) -HL #HV1 #HL elim (rsx_inv_bind_void … HL) -HL #HW1 #HT1 /6 width=8 by jsx_pair, rsx_lifts, rsx_bind_void, rsx_flat, drops_refl, drops_drop/ @@ -65,13 +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/