X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_reqx.ma;h=f6f8970e3f9740679a8c4c24f45f8714717e9a43;hp=59e5eb289b9a02b248ab631d61ce0f016618e7ba;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hpb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma index 59e5eb289..f6f8970e3 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma @@ -15,15 +15,15 @@ include "basic_2/rt_transition/cpx_reqx.ma". include "basic_2/rt_computation/csx_csx.ma". -(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************) +(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********) (* Properties with sort-irrelevant equivalence for local environments *******) (* Basic_2A1: uses: csx_lleq_conf *) -lemma csx_reqx_conf (h) (G) (L1): - ∀T. ❪G,L1❫ ⊢ ⬈*𝐒[h] T → - ∀L2. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒[h] T. -#h #G #L1 #T #H +lemma csx_reqx_conf (G) (L1): + ∀T. ❪G,L1❫ ⊢ ⬈*𝐒 T → + ∀L2. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒 T. +#G #L1 #T #H @(csx_ind … H) -T #T1 #_ #IH #L2 #HL12 @csx_intro #T2 #HT12 #HnT12 elim (reqx_cpx_trans … HL12 … HT12) -HT12 @@ -31,6 +31,6 @@ elim (reqx_cpx_trans … HL12 … HT12) -HT12 qed-. (* Basic_2A1: uses: csx_lleq_trans *) -lemma csx_reqx_trans (h) (G) (L2): - ∀L1,T. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒[h] T → ❪G,L1❫ ⊢ ⬈*𝐒[h] T. +lemma csx_reqx_trans (G) (L2): + ∀L1,T. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒 T → ❪G,L1❫ ⊢ ⬈*𝐒 T. /3 width=3 by csx_reqx_conf, reqx_sym/ qed-.