X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Ffsle_fsle.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Ffsle_fsle.ma;h=1b220af99d6126b91a6550b55bf627faae6118c1;hb=75f395f0febd02de8e0f881d918a8812b1425c8d;hp=ea09b60a7d702d2d2f1048ad0503d8139c8897a8;hpb=d59f344b1e4b377e2f06abd9f8856d686d21b222;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/fsle_fsle.ma b/matita/matita/contribs/lambdadelta/basic_2/static/fsle_fsle.ma index ea09b60a7..1b220af99 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/fsle_fsle.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/fsle_fsle.ma @@ -20,8 +20,8 @@ include "basic_2/static/fsle_fqup.ma". (* Advanced inversion lemmas ************************************************) lemma fsle_frees_trans: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ⊆ ⦃L2, T2⦄ → - ∀f2. L2 ⊢ 𝐅*⦃T2⦄ ≡ f2 → - ∃∃n1,n2,f1. L1 ⊢ 𝐅*⦃T1⦄ ≡ f1 & + ∀f2. L2 ⊢ 𝐅*⦃T2⦄ ≘ f2 → + ∃∃n1,n2,f1. L1 ⊢ 𝐅*⦃T1⦄ ≘ f1 & L1 ≋ⓧ*[n1, n2] L2 & ⫱*[n1]f1 ⊆ ⫱*[n2]f2. #L1 #L2 #T1 #T2 * #n1 #n2 #f1 #g2 #Hf1 #Hg2 #HL #Hn #f2 #Hf2 lapply (frees_mono … Hg2 … Hf2) -Hg2 -Hf2 #Hgf2 @@ -31,8 +31,8 @@ lapply (sle_eq_repl_back2 … Hn … Hgf2) -g2 qed-. lemma fsle_frees_trans_eq: ∀L1,L2. |L1| = |L2| → - ∀T1,T2. ⦃L1, T1⦄ ⊆ ⦃L2, T2⦄ → ∀f2. L2 ⊢ 𝐅*⦃T2⦄ ≡ f2 → - ∃∃f1. L1 ⊢ 𝐅*⦃T1⦄ ≡ f1 & f1 ⊆ f2. + ∀T1,T2. ⦃L1, T1⦄ ⊆ ⦃L2, T2⦄ → ∀f2. L2 ⊢ 𝐅*⦃T2⦄ ≘ f2 → + ∃∃f1. L1 ⊢ 𝐅*⦃T1⦄ ≘ f1 & f1 ⊆ f2. #L1 #L2 #H1L #T1 #T2 #H2L #f2 #Hf2 elim (fsle_frees_trans … H2L … Hf2) -T2 #n1 #n2 #f1 #Hf1 #H2L #Hf12 elim (lveq_inj_length … H2L) // -L2 #H1 #H2 destruct @@ -41,7 +41,7 @@ qed-. lemma fsle_inv_frees_eq: ∀L1,L2. |L1| = |L2| → ∀T1,T2. ⦃L1, T1⦄ ⊆ ⦃L2, T2⦄ → - ∀f1. L1 ⊢ 𝐅*⦃T1⦄ ≡ f1 → ∀f2. L2 ⊢ 𝐅*⦃T2⦄ ≡ f2 → + ∀f1. L1 ⊢ 𝐅*⦃T1⦄ ≘ f1 → ∀f2. L2 ⊢ 𝐅*⦃T2⦄ ≘ f2 → f1 ⊆ f2. #L1 #L2 #H1L #T1 #T2 #H2L #f1 #Hf1 #f2 #Hf2 elim (fsle_frees_trans_eq … H2L … Hf2) // -L2 -T2