X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffsle_drops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffsle_drops.ma;h=80552d26a323d82d6184a435f8d6e500af3a4f6f;hb=67fe9cec87e129a2a41c75d7ed8456a6f3314421;hp=1eee580943ec894f6ed939f3fd6839f9a24ff23f;hpb=86861e6f031df66824a381527dfe847029ff72bc;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/static/fsle_drops.ma b/matita/matita/contribs/lambdadelta/static_2/static/fsle_drops.ma index 1eee58094..80552d26a 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/fsle_drops.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/fsle_drops.ma @@ -19,7 +19,7 @@ include "static_2/static/fsle_length.ma". (* Advanced properties ******************************************************) -lemma fsle_lifts_sn: ∀T1,U1. ⬆*[1] T1 ≘ U1 → ∀L1,L2. |L2| ≤ |L1| → +lemma fsle_lifts_sn: ∀T1,U1. ⇧*[1] T1 ≘ U1 → ∀L1,L2. |L2| ≤ |L1| → ∀T2. ⦃L1,T1⦄ ⊆ ⦃L2,T2⦄ → ⦃L1.ⓧ,U1⦄ ⊆ ⦃L2,T2⦄. #T1 #U1 #HTU1 #L1 #L2 #H1L #T2 * #n #m #f #g #Hf #Hg #H2L #Hfg @@ -30,7 +30,7 @@ lapply (frees_lifts_SO (Ⓣ) (L1.ⓧ) … HTU1 … Hf) qed-. lemma fsle_lifts_dx (L1) (L2): - |L1| ≤ |L2| → ∀T2,U2. ⬆*[1]T2 ≘ U2 → + |L1| ≤ |L2| → ∀T2,U2. ⇧*[1]T2 ≘ U2 → ∀T1. ⦃L1,T1⦄ ⊆ ⦃L2,T2⦄ → ⦃L1,T1⦄ ⊆ ⦃L2.ⓧ,U2⦄. #L1 #L2 #HL21 #T2 #U2 #HTU2 #T1 * #n #m #f #g #Hf #Hg #H2L #Hfg @@ -41,7 +41,7 @@ lapply (frees_lifts_SO (Ⓣ) (L2.ⓧ) … HTU2 … Hg) qed-. lemma fsle_lifts_SO_sn: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ⦃K1,V1⦄ ⊆ ⦃K2,V2⦄ → - ∀W1. ⬆*[1] V1 ≘ W1 → ∀I1,I2. ⦃K1.ⓘ{I1},W1⦄ ⊆ ⦃K2.ⓑ{I2}V2,#O⦄. + ∀W1. ⇧*[1] V1 ≘ W1 → ∀I1,I2. ⦃K1.ⓘ{I1},W1⦄ ⊆ ⦃K2.ⓑ{I2}V2,#O⦄. #K1 #K2 #HK #V1 #V2 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HK12 #Hf12 #W1 #HVW1 #I1 #I2 @@ -50,7 +50,7 @@ elim (lveq_inj_length … HK12) // -HK #H1 #H2 destruct qed. lemma fsle_lifts_SO: ∀K1,K2. |K1| = |K2| → ∀T1,T2. ⦃K1,T1⦄ ⊆ ⦃K2,T2⦄ → - ∀U1,U2. ⬆*[1] T1 ≘ U1 → ⬆*[1] T2 ≘ U2 → + ∀U1,U2. ⇧*[1] T1 ≘ U1 → ⇧*[1] T2 ≘ U2 → ∀I1,I2. ⦃K1.ⓘ{I1},U1⦄ ⊆ ⦃K2.ⓘ{I2},U2⦄. #K1 #K2 #HK #T1 #T2 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HK12 #Hf12 @@ -61,7 +61,7 @@ qed. (* Advanced inversion lemmas ************************************************) -lemma fsle_inv_lifts_sn: ∀T1,U1. ⬆*[1] T1 ≘ U1 → +lemma fsle_inv_lifts_sn: ∀T1,U1. ⇧*[1] T1 ≘ U1 → ∀I1,I2,L1,L2,V1,V2,U2. ⦃L1.ⓑ{I1}V1,U1⦄ ⊆ ⦃L2.ⓑ{I2}V2,U2⦄ → ∀p. ⦃L1,T1⦄ ⊆ ⦃L2,ⓑ{p,I2}V2.U2⦄. #T1 #U1 #HTU1 #I1 #I2 #L1 #L2 #V1 #V2 #U2