X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frdsx_csx.ma;h=f6c85a08905198e0859e60e534a438564602b830;hp=436c2b224e773585506878dce2200e3c5f85eb68;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_csx.ma index 436c2b224..f6c85a089 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_csx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_csx.ma @@ -22,9 +22,9 @@ include "basic_2/rt_computation/lsubsx_rdsx.ma". (* Basic_2A1: uses: lsx_lref_be_lpxs *) lemma rdsx_pair_lpxs (h) (G): - ∀K1,V. ⦃G, K1⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ → - ∀K2. G ⊢ ⬈*[h, V] 𝐒⦃K2⦄ → ⦃G, K1⦄ ⊢ ⬈*[h] K2 → - ∀I. G ⊢ ⬈*[h, #0] 𝐒⦃K2.ⓑ{I}V⦄. + ∀K1,V. ⦃G,K1⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ → + ∀K2. G ⊢ ⬈*[h,V] 𝐒⦃K2⦄ → ⦃G,K1⦄ ⊢ ⬈*[h] K2 → + ∀I. G ⊢ ⬈*[h,#0] 𝐒⦃K2.ⓑ{I}V⦄. #h #G #K1 #V #H @(csx_ind_cpxs … H) -V #V0 #_ #IHV0 #K2 #H @(rdsx_ind … H) -K2 #K0 #HK0 #IHK0 #HK10 #I @@ -42,8 +42,8 @@ qed. (* Basic_2A1: uses: lsx_lref_be *) lemma rdsx_lref_pair_drops (h) (G): - ∀K,V. ⦃G, K⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ → G ⊢ ⬈*[h, V] 𝐒⦃K⦄ → - ∀I,i,L. ⬇*[i] L ≘ K.ⓑ{I}V → G ⊢ ⬈*[h, #i] 𝐒⦃L⦄. + ∀K,V. ⦃G,K⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ → G ⊢ ⬈*[h,V] 𝐒⦃K⦄ → + ∀I,i,L. ⬇*[i] L ≘ K.ⓑ{I}V → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄. #h #G #K #V #HV #HK #I #i elim i -i [ #L #H >(drops_fwd_isid … H) -H /2 width=3 by rdsx_pair_lpxs/ | #i #IH #L #H @@ -55,7 +55,7 @@ qed. (* Main properties **********************************************************) (* Basic_2A1: uses: csx_lsx *) -theorem csx_rdsx (h): ∀G,L,T. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → G ⊢ ⬈*[h, T] 𝐒⦃L⦄. +theorem csx_rdsx (h): ∀G,L,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → G ⊢ ⬈*[h,T] 𝐒⦃L⦄. #h #G #L #T @(fqup_wf_ind_eq (Ⓕ) … G L T) -G -L -T #Z #Y #X #IH #G #L * * // [ #i #HG #HL #HT #H destruct