X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffsle_length.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffsle_length.ma;h=4b168051d7aeff64a56b1c0c0e982de147fc139b;hb=8ec019202bff90959cf1a7158b309e7f83fa222e;hp=9fc1cc54b0bf6dc77fe28e68ded5bd94e8c216aa;hpb=33d0a7a9029859be79b25b5a495e0f30dab11f37;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/static/fsle_length.ma b/matita/matita/contribs/lambdadelta/static_2/static/fsle_length.ma index 9fc1cc54b..4b168051d 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/fsle_length.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/fsle_length.ma @@ -19,14 +19,14 @@ include "static_2/static/fsle.ma". (* Properties with length for local environments ****************************) -lemma fsle_sort_bi: ∀L1,L2,s1,s2. |L1| = |L2| → ❪L1,⋆s1❫ ⊆ ❪L2,⋆s2❫. +lemma fsle_sort_bi: ∀L1,L2,s1,s2. |L1| = |L2| → ❨L1,⋆s1❩ ⊆ ❨L2,⋆s2❩. /3 width=8 by lveq_length_eq, frees_sort, pr_sle_refl, ex4_4_intro/ qed. -lemma fsle_gref_bi: ∀L1,L2,l1,l2. |L1| = |L2| → ❪L1,§l1❫ ⊆ ❪L2,§l2❫. +lemma fsle_gref_bi: ∀L1,L2,l1,l2. |L1| = |L2| → ❨L1,§l1❩ ⊆ ❨L2,§l2❩. /3 width=8 by lveq_length_eq, frees_gref, pr_sle_refl, ex4_4_intro/ qed. -lemma fsle_pair_bi: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ❪K1,V1❫ ⊆ ❪K2,V2❫ → - ∀I1,I2. ❪K1.ⓑ[I1]V1,#O❫ ⊆ ❪K2.ⓑ[I2]V2,#O❫. +lemma fsle_pair_bi: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ❨K1,V1❩ ⊆ ❨K2,V2❩ → + ∀I1,I2. ❨K1.ⓑ[I1]V1,#O❩ ⊆ ❨K2.ⓑ[I2]V2,#O❩. #K1 #K2 #HK #V1 #V2 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HK12 #Hf12 #I1 #I2 @@ -35,6 +35,6 @@ elim (lveq_inj_length … HK12) // -HK #H1 #H2 destruct qed. lemma fsle_unit_bi: ∀K1,K2. |K1| = |K2| → - ∀I1,I2. ❪K1.ⓤ[I1],#O❫ ⊆ ❪K2.ⓤ[I2],#O❫. + ∀I1,I2. ❨K1.ⓤ[I1],#O❩ ⊆ ❨K2.ⓤ[I2],#O❩. /3 width=8 by frees_unit, lveq_length_eq, pr_sle_refl, ex4_4_intro/ qed.