X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Flsubsv_lsuba.ma;h=aa270a256d975cd767fb7105390d45db849afd3b;hb=78b27990925c54b2a34cff609fc9bcfbeb6b48f3;hp=7d40d4081bf4bd46c8f24cd5447be165ad0d5b7a;hpb=29973426e0227ee48368d1c24dc0c17bf2baef77;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma index 7d40d4081..aa270a256 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma @@ -19,11 +19,12 @@ include "basic_2/dynamic/lsubsv.ma". (* Forward lemmas on lenv refinement for atomic arity assignment ************) -lemma lsubsv_fwd_lsuba: ∀h,g,L1,L2. h ⊢ L1 ¡⊑[h, g] L2 → L1 ⁝⊑ L2. -#h #g #L1 #L2 #H elim H -L1 -L2 // /2 width=1/ -#L1 #L2 #W #V #W1 #V2 #l #HV #HW #_ #_ #_ #IHL12 -W1 -V2 +lemma lsubsv_fwd_lsuba: ∀h,g,G,L1,L2. G ⊢ L1 ¡⊑[h, g] L2 → G ⊢ L1 ⁝⊑ L2. +#h #g #G #L1 #L2 #H elim H -L1 -L2 // /2 width=1/ +#L1 #L2 #W #V #l #H1W #HV #HVW #H2W #H1l #_ #_ #IHL12 +lapply (snv_scast … HV H1W HVW H1l) -HV -H1W -HVW -H1l #HV elim (snv_fwd_aaa … HV) -HV #A #HV -elim (snv_fwd_aaa … HW) -HW #B #HW +elim (snv_fwd_aaa … H2W) -H2W #B #HW elim (aaa_inv_cast … HV) #HWA #_ lapply (lsuba_aaa_trans … HW … IHL12) #HWB lapply (aaa_mono … HWB … HWA) -HWB -HWA #H destruct /2 width=3/