X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcnx_basic.ma;h=1532cfcf67a0d169dbcbebef6b3c341faf1cde7b;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=6f7976b64e2ec96fc4f0397d147f3c49d6c7bb80;hpb=db020b4218272e2e35641ce3bc3b0a9b3afda899;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_basic.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_basic.ma index 6f7976b64..1532cfcf6 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_basic.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_basic.ma @@ -12,22 +12,23 @@ (* *) (**************************************************************************) -include "static_2/relocation/lifts_tdeq.ma". +include "static_2/relocation/lifts_teqx.ma". include "basic_2/rt_transition/cpx_drops_basic.ma". include "basic_2/rt_transition/cnx.ma". -(* NORMAL TERMS FOR UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ********) +(* NORMAL TERMS FOR EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION *******) (* Advanced inversion lemmas ************************************************) -lemma cnx_inv_abbr_pos (h) (G) (L): ∀V,T. ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃+ⓓV.T⦄ → ⊥. -#h #G #L #V #U1 #H -elim (cpx_subst h G (L.ⓓV) U1 … 0) [|*: /2 width=4 by drops_refl/ ] #U2 #T2 #HU12 #HTU2 -elim (tdeq_dec U1 U2) #HnU12 [ -HU12 | -HTU2 ] -[ elim (tdeq_inv_lifts_dx … HnU12 … HTU2) -U2 #T1 #HTU1 #_ -T2 +lemma cnx_inv_abbr_pos (G) (L): + ∀V,T. ❪G,L❫ ⊢ ⬈𝐍 +ⓓV.T → ⊥. +#G #L #V #U1 #H +elim (cpx_subst G (L.ⓓV) U1 … 0) [|*: /2 width=4 by drops_refl/ ] #U2 #T2 #HU12 #HTU2 +elim (teqx_dec U1 U2) #HnU12 [ -HU12 | -HTU2 ] +[ elim (teqx_inv_lifts_dx … HnU12 … HTU2) -U2 #T1 #HTU1 #_ -T2 lapply (H T1 ?) -H [ /2 width=3 by cpx_zeta/ ] #H - /2 width=9 by tdeq_lifts_inv_pair_sn/ + /2 width=9 by teqx_lifts_inv_pair_sn/ | lapply (H (+ⓓV.U2) ?) -H [ /2 width=1 by cpx_bind/ ] -HU12 #H - elim (tdeq_inv_pair … H) -H #_ #_ /2 width=1 by/ + elim (teqx_inv_pair … H) -H #_ #_ /2 width=1 by/ ] qed-.