update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / fsle_drops.ma

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 80552d26a323d82d6184a435f8d6e500af3a4f6f..5d72ba39b69009f7b683c830c991f5a6d63e2a1f 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/fsle_drops.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/fsle_drops.ma
@@ -20,7 +20,7 @@ include "static_2/static/fsle_length.ma".
 (* Advanced properties ******************************************************)
 
 lemma fsle_lifts_sn: ∀T1,U1. ⇧*[1] T1 ≘ U1 → ∀L1,L2. |L2| ≤ |L1| →
-                     â\88\80T2. â¦\83L1,T1â¦\84 â\8a\86 â¦\83L2,T2â¦\84 â\86\92 â¦\83L1.â\93§,U1â¦\84 â\8a\86 â¦\83L2,T2â¦\84.
+                     â\88\80T2. â\9dªL1,T1â\9d« â\8a\86 â\9dªL2,T2â\9d« â\86\92 â\9dªL1.â\93§,U1â\9d« â\8a\86 â\9dªL2,T2â\9d«.
 #T1 #U1 #HTU1 #L1 #L2 #H1L #T2
 * #n #m #f #g #Hf #Hg #H2L #Hfg
 lapply (lveq_length_fwd_dx … H2L ?) // -H1L #H destruct
@@ -31,7 +31,7 @@ qed-.
 
 lemma fsle_lifts_dx (L1) (L2):
                     |L1| ≤ |L2| → ∀T2,U2. ⇧*[1]T2 ≘ U2 →
-                    â\88\80T1. â¦\83L1,T1â¦\84 â\8a\86 â¦\83L2,T2â¦\84 â\86\92 â¦\83L1,T1â¦\84 â\8a\86 â¦\83L2.â\93§,U2â¦\84.
+                    â\88\80T1. â\9dªL1,T1â\9d« â\8a\86 â\9dªL2,T2â\9d« â\86\92 â\9dªL1,T1â\9d« â\8a\86 â\9dªL2.â\93§,U2â\9d«.
 #L1 #L2 #HL21 #T2 #U2 #HTU2 #T1
 * #n #m #f #g #Hf #Hg #H2L #Hfg
 lapply (lveq_length_fwd_sn … H2L ?) // -HL21 #H destruct
@@ -40,8 +40,8 @@ lapply (frees_lifts_SO (Ⓣ) (L2.ⓧ) … HTU2 … Hg)
 @(ex4_4_intro … Hf Hg) /2 width=4 by lveq_void_dx/ (**) (* explict constructor *)
 qed-.
 
-lemma fsle_lifts_SO_sn: â\88\80K1,K2. |K1| = |K2| â\86\92 â\88\80V1,V2. â¦\83K1,V1â¦\84 â\8a\86 â¦\83K2,V2â¦\84 →
-                        â\88\80W1. â\87§*[1] V1 â\89\98 W1 â\86\92 â\88\80I1,I2. â¦\83K1.â\93\98{I1},W1â¦\84 â\8a\86 â¦\83K2.â\93\91{I2}V2,#Oâ¦\84.
+lemma fsle_lifts_SO_sn: â\88\80K1,K2. |K1| = |K2| â\86\92 â\88\80V1,V2. â\9dªK1,V1â\9d« â\8a\86 â\9dªK2,V2â\9d« →
+                        â\88\80W1. â\87§*[1] V1 â\89\98 W1 â\86\92 â\88\80I1,I2. â\9dªK1.â\93\98[I1],W1â\9d« â\8a\86 â\9dªK2.â\93\91[I2]V2,#Oâ\9d«.
 #K1 #K2 #HK #V1 #V2
 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HK12 #Hf12
 #W1 #HVW1 #I1 #I2
@@ -49,9 +49,9 @@ elim (lveq_inj_length … HK12) // -HK #H1 #H2 destruct
 /5 width=12 by frees_lifts_SO, frees_pair, drops_refl, drops_drop, lveq_bind, sle_weak, ex4_4_intro/
 qed.
 
-lemma fsle_lifts_SO: â\88\80K1,K2. |K1| = |K2| â\86\92 â\88\80T1,T2. â¦\83K1,T1â¦\84 â\8a\86 â¦\83K2,T2â¦\84 →
+lemma fsle_lifts_SO: â\88\80K1,K2. |K1| = |K2| â\86\92 â\88\80T1,T2. â\9dªK1,T1â\9d« â\8a\86 â\9dªK2,T2â\9d« →
                      ∀U1,U2. ⇧*[1] T1 ≘ U1 → ⇧*[1] T2 ≘ U2 →
-                     â\88\80I1,I2.  â¦\83K1.â\93\98{I1},U1â¦\84 â\8a\86 â¦\83K2.â\93\98{I2},U2â¦\84.
+                     â\88\80I1,I2.  â\9dªK1.â\93\98[I1],U1â\9d« â\8a\86 â\9dªK2.â\93\98[I2],U2â\9d«.
 #K1 #K2 #HK #T1 #T2
 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HK12 #Hf12
 #U1 #U2 #HTU1 #HTU2 #I1 #I2
@@ -62,8 +62,8 @@ qed.
 (* Advanced inversion lemmas ************************************************)
 
 lemma fsle_inv_lifts_sn: ∀T1,U1. ⇧*[1] T1 ≘ U1 →
-                         â\88\80I1,I2,L1,L2,V1,V2,U2. â¦\83L1.â\93\91{I1}V1,U1â¦\84 â\8a\86 â¦\83L2.â\93\91{I2}V2,U2â¦\84 →
-                         â\88\80p. â¦\83L1,T1â¦\84 â\8a\86 â¦\83L2,â\93\91{p,I2}V2.U2â¦\84.
+                         â\88\80I1,I2,L1,L2,V1,V2,U2. â\9dªL1.â\93\91[I1]V1,U1â\9d« â\8a\86 â\9dªL2.â\93\91[I2]V2,U2â\9d« →
+                         â\88\80p. â\9dªL1,T1â\9d« â\8a\86 â\9dªL2,â\93\91[p,I2]V2.U2â\9d«.
 #T1 #U1 #HTU1 #I1 #I2 #L1 #L2 #V1 #V2 #U2
 * #n #m #f2 #g2 #Hf2 #Hg2 #HL #Hfg2 #p
 elim (lveq_inv_pair_pair … HL) -HL #HL #H1 #H2 destruct