X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffsle_length.ma;h=9fc1cc54b0bf6dc77fe28e68ded5bd94e8c216aa;hb=98e786e1a6bd7b621e37ba7cd4098d4a0a6f8278;hp=2bf6a6b0b78f799dad42815af67f56d0b143cb25;hpb=f308429a0fde273605a2330efc63268b4ac36c99;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 2bf6a6b0b..9fc1cc54b 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/fsle_length.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/fsle_length.ma @@ -19,22 +19,22 @@ 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⦄. -/3 width=8 by lveq_length_eq, frees_sort, sle_refl, ex4_4_intro/ qed. +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⦄. -/3 width=8 by lveq_length_eq, frees_gref, sle_refl, ex4_4_intro/ qed. +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 elim (lveq_inj_length … HK12) // -HK #H1 #H2 destruct -/3 width=12 by frees_pair, lveq_bind, sle_next, ex4_4_intro/ +/3 width=12 by frees_pair, lveq_bind, pr_sle_next, ex4_4_intro/ qed. lemma fsle_unit_bi: ∀K1,K2. |K1| = |K2| → - ∀I1,I2. ⦃K1.ⓤ{I1},#O⦄ ⊆ ⦃K2.ⓤ{I2},#O⦄. -/3 width=8 by frees_unit, lveq_length_eq, sle_refl, ex4_4_intro/ + ∀I1,I2. ❪K1.ⓤ[I1],#O❫ ⊆ ❪K2.ⓤ[I2],#O❫. +/3 width=8 by frees_unit, lveq_length_eq, pr_sle_refl, ex4_4_intro/ qed.