X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flexs_lexs.ma;h=7966fdd7cbf6a0f5318c4816db518ece5955b97e;hb=e9da8e091898b6e67a2f270581bdc5cdbe80e9b0;hp=35badac0e3b4517b83c9f1bf3a88da59a0891d5c;hpb=3a430d712f9d87185e9271b7b0c5188c5f311e4b;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma index 35badac0e..7966fdd7c 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma @@ -27,11 +27,11 @@ theorem lexs_trans_gen (RN1) (RP1) (RN2) (RP2) (RN) (RP) (f): ∀L1,L0. L1 ⦻*[RN1, RP1, f] L0 → ∀L2. L0 ⦻*[RN2, RP2, f] L2 → L1 ⦻*[RN, RP, f] L2. -#RN1 #RP1 #RN2 #RP2 #RN #RP #f #HN #HP #L1 #L0 #H elim H -L1 -L0 -f +#RN1 #RP1 #RN2 #RP2 #RN #RP #f #HN #HP #L1 #L0 #H elim H -f -L1 -L0 [ #f #L2 #H >(lexs_inv_atom1 … H) -L2 // -| #I #K1 #K #V1 #V #f #HK1 #HV1 #IH #L2 #H elim (lexs_inv_next1 … H) -H +| #f #I #K1 #K #V1 #V #HK1 #HV1 #IH #L2 #H elim (lexs_inv_next1 … H) -H #K2 #V2 #HK2 #HV2 #H destruct /4 width=6 by lexs_next/ -| #I #K1 #K #V1 #V #f #HK1 #HV1 #IH #L2 #H elim (lexs_inv_push1 … H) -H +| #f #I #K1 #K #V1 #V #HK1 #HV1 #IH #L2 #H elim (lexs_inv_push1 … H) -H #K2 #V2 #HK2 #HV2 #H destruct /4 width=6 by lexs_push/ ] qed-. @@ -80,8 +80,8 @@ lemma lexs_meet: ∀RN,RP,L1,L2. ∀f1. L1 ⦻*[RN, RP, f1] L2 → ∀f2. L1 ⦻*[RN, RP, f2] L2 → ∀f. f1 ⋒ f2 ≡ f → L1 ⦻*[RN, RP, f] L2. -#RN #RP #L1 #L2 #f1 #H elim H -L1 -L2 -f1 // -#I #L1 #L2 #V1 #V2 #f1 #_ #HV12 #IH #f2 #H #f #Hf +#RN #RP #L1 #L2 #f1 #H elim H -f1 -L1 -L2 // +#f1 #I #L1 #L2 #V1 #V2 #_ #HV12 #IH #f2 #H #f #Hf elim (pn_split f2) * #g2 #H2 destruct try elim (lexs_inv_push … H) try elim (lexs_inv_next … H) -H [ elim (sand_inv_npx … Hf) | elim (sand_inv_nnx … Hf) @@ -93,8 +93,8 @@ lemma lexs_join: ∀RN,RP,L1,L2. ∀f1. L1 ⦻*[RN, RP, f1] L2 → ∀f2. L1 ⦻*[RN, RP, f2] L2 → ∀f. f1 ⋓ f2 ≡ f → L1 ⦻*[RN, RP, f] L2. -#RN #RP #L1 #L2 #f1 #H elim H -L1 -L2 -f1 // -#I #L1 #L2 #V1 #V2 #f1 #_ #HV12 #IH #f2 #H #f #Hf +#RN #RP #L1 #L2 #f1 #H elim H -f1 -L1 -L2 // +#f1 #I #L1 #L2 #V1 #V2 #_ #HV12 #IH #f2 #H #f #Hf elim (pn_split f2) * #g2 #H2 destruct try elim (lexs_inv_push … H) try elim (lexs_inv_next … H) -H [ elim (sor_inv_npx … Hf) | elim (sor_inv_nnx … Hf)