X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frdsx_rdsx.ma;h=2305aac191a7af8638f89bdda335ce7daa8c41ec;hb=222044da28742b24584549ba86b1805a87def070;hp=efdf72af644c698fd13277c3da55829e33726c7c;hpb=ec261374a2990bebeded039a64c0be0795ad9e93;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma index efdf72af6..2305aac19 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -include "basic_2/rt_transition/lpx_lfdeq.ma". +include "basic_2/rt_transition/lpx_rdeq.ma". include "basic_2/rt_computation/rdsx.ma". (* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******) @@ -20,13 +20,13 @@ include "basic_2/rt_computation/rdsx.ma". (* Advanced properties ******************************************************) (* Basic_2A1: uses: lsx_lleq_trans *) -lemma rdsx_lfdeq_trans (h) (o) (G): - ∀L1,T. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ → - ∀L2. L1 ≛[h, o, T] L2 → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄. +lemma rdsx_rdeq_trans (h) (o) (G): + ∀L1,T. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ → + ∀L2. L1 ≛[h, o, T] L2 → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄. #h #o #G #L1 #T #H @(rdsx_ind … H) -L1 #L1 #_ #IHL1 #L2 #HL12 @rdsx_intro -#L #HL2 #HnL2 elim (lfdeq_lpx_trans … HL2 … HL12) -HL2 -/4 width=5 by lfdeq_repl/ +#L #HL2 #HnL2 elim (rdeq_lpx_trans … HL2 … HL12) -HL2 +/4 width=5 by rdeq_repl/ qed-. (* Basic_2A1: uses: lsx_lpx_trans *) @@ -34,5 +34,5 @@ lemma rdsx_lpx_trans (h) (o) (G): ∀L1,T. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ → ∀L2. ⦃G, L1⦄ ⊢ ⬈[h] L2 → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄. #h #o #G #L1 #T #H @(rdsx_ind … H) -L1 #L1 #HL1 #IHL1 #L2 #HL12 -elim (lfdeq_dec h o L1 L2 T) /3 width=4 by rdsx_lfdeq_trans/ +elim (rdeq_dec h o L1 L2 T) /3 width=4 by rdsx_rdeq_trans/ qed-.