X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Funfold%2Flstas_llpx_sn.ma;h=db9cada18ea87160a2c5f497dcd48b9ac6531ef2;hb=c60524dec7ace912c416a90d6b926bee8553250b;hp=afa9d46d3162a6eaea78701b1afe591d4070bc2d;hpb=f10cfe417b6b8ec1c7ac85c6ecf5fb1b3fdf37db;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_llpx_sn.ma b/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_llpx_sn.ma index afa9d46d3..db9cada18 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_llpx_sn.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_llpx_sn.ma @@ -19,26 +19,26 @@ include "basic_2/unfold/lstas.ma". (* Properties on lazy sn pointwise extensions *******************************) -lemma lstas_llpx_sn_conf: ∀R. (∀L. reflexive … (R L)) → l_liftable R → - ∀h,G,l. s_r_confluent1 … (lstas h l G) (llpx_sn R 0). -#R #H1R #H2R #h #G #l #Ls #T1 #T2 #H elim H -G -Ls -T1 -T2 -l +lemma lstas_llpx_sn_conf: ∀R. (∀L. reflexive … (R L)) → d_liftable R → + ∀h,G,d. s_r_confluent1 … (lstas h d G) (llpx_sn R 0). +#R #H1R #H2R #h #G #d #Ls #T1 #T2 #H elim H -G -Ls -T1 -T2 -d [ /3 width=4 by llpx_sn_fwd_length, llpx_sn_sort/ -| #G #Ls #Ks #V1s #V2s #W2s #i #l #HLKs #_ #HVW2s #IHV12s #Ld #H elim (llpx_sn_inv_lref_ge_sn … H … HLKs) // -H - #Kd #V1d #HLKd #HV1s #HV1sd +| #G #Ls #Ks #V1s #V2s #W2s #i #d #HLKs #_ #HVW2s #IHV12s #Ld #H elim (llpx_sn_inv_lref_ge_sn … H … HLKs) // -H + #Kd #V1l #HLKd #HV1s #HV1sd lapply (drop_fwd_drop2 … HLKs) -HLKs #HLKs lapply (drop_fwd_drop2 … HLKd) -HLKd #HLKd @(llpx_sn_lift_le … HLKs HLKd … HVW2s) -HLKs -HLKd -HVW2s /2 width=1 by/ (**) (* full auto too slow *) | // -| #G #Ls #Ks #V1s #V2s #W2s #i #l #HLKs #_ #HVW2s #IHV12s #Ld #H elim (llpx_sn_inv_lref_ge_sn … H … HLKs) // -H - #Kd #V1d #HLKd #HV1s #HV1sd +| #G #Ls #Ks #V1s #V2s #W2s #i #d #HLKs #_ #HVW2s #IHV12s #Ld #H elim (llpx_sn_inv_lref_ge_sn … H … HLKs) // -H + #Kd #V1l #HLKd #HV1s #HV1sd lapply (drop_fwd_drop2 … HLKs) -HLKs #HLKs lapply (drop_fwd_drop2 … HLKd) -HLKd #HLKd @(llpx_sn_lift_le … HLKs HLKd … HVW2s) -HLKs -HLKd -HVW2s /2 width=1 by/ (**) (* full auto too slow *) -| #a #I #G #Ls #V #T1 #T2 #l #_ #IHT12 #Ld #H elim (llpx_sn_inv_bind_O … H) -H +| #a #I #G #Ls #V #T1 #T2 #d #_ #IHT12 #Ld #H elim (llpx_sn_inv_bind_O … H) -H /4 width=5 by llpx_sn_bind_repl_SO, llpx_sn_bind/ -| #G #Ls #V #T1 #T2 #l #_ #IHT12 #Ld #H elim (llpx_sn_inv_flat … H) -H +| #G #Ls #V #T1 #T2 #d #_ #IHT12 #Ld #H elim (llpx_sn_inv_flat … H) -H /3 width=1 by llpx_sn_flat/ -| #G #Ls #V #T1 #T2 #l #_ #IHT12 #Ld #H elim (llpx_sn_inv_flat … H) -H +| #G #Ls #V #T1 #T2 #d #_ #IHT12 #Ld #H elim (llpx_sn_inv_flat … H) -H /3 width=1 by llpx_sn_flat/ ] qed-.