X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freducibility%2Ftpr_tpss.ma;h=597fe64ebe2b2df09e4ae608d450756672b24b2b;hb=85a33f6b6de49ad8076753643df41f39bbedf802;hp=e1ead4e44ff85762b7c91eac6f896f73cc54bd38;hpb=e8998d29ab83e7b6aa495a079193705b2f6743d3;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/reducibility/tpr_tpss.ma b/matita/matita/contribs/lambdadelta/basic_2/reducibility/tpr_tpss.ma index e1ead4e44..597fe64eb 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/reducibility/tpr_tpss.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/reducibility/tpr_tpss.ma @@ -36,16 +36,16 @@ lemma tpr_tps_ltpr: ∀T1,T2. T1 ➡ T2 → elim (tps_inv_bind1 … HY) -HY #WW #TT1 #_ #HTT1 #H destruct elim (IHV12 … HVV1 … HL12) -V1 #VV2 #HVV12 #HVV2 elim (IHT12 … HTT1 (L2. ⓛWW) ?) -T1 /2 width=1/ -HL12 #TT2 #HTT12 #HTT2 - lapply (tpss_lsubs_trans … HTT2 (L2. ⓓVV2) ?) -HTT2 /3 width=5/ + lapply (tpss_lsubr_trans … HTT2 (L2. ⓓVV2) ?) -HTT2 /3 width=5/ | #a #I #V1 #V2 #T1 #T #T2 #HV12 #_ #HT2 #IHV12 #IHT1 #L1 #d #e #X #H #L2 #HL12 elim (tps_inv_bind1 … H) -H #W1 #U1 #HVW1 #HTU1 #H destruct elim (IHV12 … HVW1 … HL12) -V1 #W2 #HW12 #HVW2 elim (IHT1 … HTU1 (L2. ⓑ{I} W2) ?) -T1 /2 width=1/ -HL12 #U #HU1 #HTU elim (tpss_strip_neq … HTU … HT2 ?) -T /2 width=1/ #U2 #HU2 #HTU2 - lapply (tps_lsubs_trans … HU2 (L2. ⓑ{I} V2) ?) -HU2 /2 width=1/ #HU2 + lapply (tps_lsubr_trans … HU2 (L2. ⓑ{I} V2) ?) -HU2 /2 width=1/ #HU2 elim (ltpss_dx_tps_conf … HU2 (L2. ⓑ{I} W2) (d + 1) e ?) -HU2 /2 width=1/ #U3 #HU3 #HU23 - lapply (tps_lsubs_trans … HU3 (⋆. ⓑ{I} W2) ?) -HU3 /2 width=1/ #HU3 - lapply (tpss_lsubs_trans … HU23 (L2. ⓑ{I} W2) ?) -HU23 /2 width=1/ #HU23 + lapply (tps_lsubr_trans … HU3 (⋆. ⓑ{I} W2) ?) -HU3 /2 width=1/ #HU3 + lapply (tpss_lsubr_trans … HU23 (L2. ⓑ{I} W2) ?) -HU23 /2 width=1/ #HU23 lapply (tpss_trans_eq … HTU2 … HU23) -U2 /3 width=5/ | #a #V #V1 #V2 #W1 #W2 #T1 #T2 #_ #HV2 #_ #_ #IHV12 #IHW12 #IHT12 #L1 #d #e #X #H #L2 #HL12 elim (tps_inv_flat1 … H) -H #VV1 #Y #HVV1 #HY #HX destruct @@ -55,7 +55,7 @@ lemma tpr_tps_ltpr: ∀T1,T2. T1 ➡ T2 → elim (IHT12 … HTT1 (L2. ⓓWW2) ?) -T1 /2 width=1/ -HL12 #TT2 #HTT12 #HTT2 elim (lift_total VV2 0 1) #VV #H2VV lapply (tpss_lift_ge … HVV2 (L2. ⓓWW2) … HV2 … H2VV) -V2 /2 width=1/ #HVV - @ex2_1_intro [2: @tpr_theta |1: skip |3: @tpss_bind [2: @tpss_flat ] ] /width=11/ (**) (* /4 width=11/ is too slow *) + @ex2_intro [2: @tpr_theta |1: skip |3: @tpss_bind [2: @tpss_flat ] ] /width=11/ (**) (* /4 width=11/ is too slow *) | #V #T1 #T #T2 #_ #HT2 #IHT1 #L1 #d #e #X #H #L2 #HL12 elim (tps_inv_bind1 … H) -H #W #U1 #_ #HTU1 #H destruct -V elim (IHT1 … HTU1 (L2.ⓓW) ?) -T1 /2 width=1/ -HL12 #U #HU1 #HTU @@ -88,4 +88,4 @@ qed. lemma tpr_tpss_conf: ∀T1,T2. T1 ➡ T2 → ∀L,U1,d,e. L ⊢ T1 ▶* [d, e] U1 → ∃∃U2. U1 ➡ U2 & L ⊢ T2 ▶* [d, e] U2. -/2 width=5/ qed. +/2 width=5/ qed.