update in ground static_2 basic_2 apps_2

[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 87d3864ffe6c48f1d331e78242f61706d73c596b..d6c1409a7d5482df4769679b8eb89e191e6a99bd 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\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«.
+                     â\88\80T2. â\9d¨L1,T1â\9d© â\8a\86 â\9d¨L2,T2â\9d© â\86\92 â\9d¨L1.â\93§,U1â\9d© â\8a\86 â\9d¨L2,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\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«.
+                    â\88\80T1. â\9d¨L1,T1â\9d© â\8a\86 â\9d¨L2,T2â\9d© â\86\92 â\9d¨L1,T1â\9d© â\8a\86 â\9d¨L2.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\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«.
+lemma fsle_lifts_SO_sn: â\88\80K1,K2. |K1| = |K2| â\86\92 â\88\80V1,V2. â\9d¨K1,V1â\9d© â\8a\86 â\9d¨K2,V2â\9d© →
+                        â\88\80W1. â\87§[1] V1 â\89\98 W1 â\86\92 â\88\80I1,I2. â\9d¨K1.â\93\98[I1],W1â\9d© â\8a\86 â\9d¨K2.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, pr_sle_weak, ex4_4_intro/
 qed.
 
-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« →
+lemma fsle_lifts_SO: â\88\80K1,K2. |K1| = |K2| â\86\92 â\88\80T1,T2. â\9d¨K1,T1â\9d© â\8a\86 â\9d¨K2,T2â\9d© →
                      ∀U1,U2. ⇧[1] T1 ≘ U1 → ⇧[1] T2 ≘ U2 →
-                     â\88\80I1,I2.  â\9dªK1.â\93\98[I1],U1â\9d« â\8a\86 â\9dªK2.â\93\98[I2],U2â\9d«.
+                     â\88\80I1,I2.  â\9d¨K1.â\93\98[I1],U1â\9d© â\8a\86 â\9d¨K2.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\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«.
+                         â\88\80I1,I2,L1,L2,V1,V2,U2. â\9d¨L1.â\93\91[I1]V1,U1â\9d© â\8a\86 â\9d¨L2.â\93\91[I2]V2,U2â\9d© →
+                         â\88\80p. â\9d¨L1,T1â\9d© â\8a\86 â\9d¨L2,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