update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / relocation / drops_length.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_length.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_length.ma
index 7d53c39db77d4572a3c5837cdf73a395ffb5d82c..fe6b2ade8668984a61e59d415ab6e7b0b954d78c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_length.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_length.ma
@@ -44,7 +44,7 @@ qed-.
 (* forward lemmas with finite colength assignment ***************************)
 
 lemma drops_fwd_fcla: ∀f,L1,L2. ⇩*[Ⓣ,f] L1 ≘ L2 →
-                      â\88\83â\88\83n. ð\9d\90\82â¦\83fâ¦\84 ≘ n & |L1| = |L2| + n.
+                      â\88\83â\88\83n. ð\9d\90\82â\9dªfâ\9d« ≘ n & |L1| = |L2| + n.
 #f #L1 #L2 #H elim H -f -L1 -L2
 [ /4 width=3 by fcla_isid, ex2_intro/
 | #f #I #L1 #L2 #_ * >length_bind /3 width=3 by fcla_next, ex2_intro, eq_f/
@@ -53,46 +53,46 @@ lemma drops_fwd_fcla: ∀f,L1,L2. ⇩*[Ⓣ,f] L1 ≘ L2 →
 qed-.
 
 (* Basic_2A1: includes: drop_fwd_length *)
-lemma drops_fcla_fwd: â\88\80f,L1,L2,n. â\87©*[â\93\89,f] L1 â\89\98 L2 â\86\92 ð\9d\90\82â¦\83fâ¦\84 ≘ n →
+lemma drops_fcla_fwd: â\88\80f,L1,L2,n. â\87©*[â\93\89,f] L1 â\89\98 L2 â\86\92 ð\9d\90\82â\9dªfâ\9d« ≘ n →
                       |L1| = |L2| + n.
 #f #l1 #l2 #n #Hf #Hn elim (drops_fwd_fcla … Hf) -Hf
 #k #Hm #H <(fcla_mono … Hm … Hn) -f //
 qed-.
 
 lemma drops_fwd_fcla_le2: ∀f,L1,L2. ⇩*[Ⓣ,f] L1 ≘ L2 →
-                          â\88\83â\88\83n. ð\9d\90\82â¦\83fâ¦\84 ≘ n & n ≤ |L1|.
+                          â\88\83â\88\83n. ð\9d\90\82â\9dªfâ\9d« ≘ n & n ≤ |L1|.
 #f #L1 #L2 #H elim (drops_fwd_fcla … H) -H /2 width=3 by ex2_intro/
 qed-.
 
 (* Basic_2A1: includes: drop_fwd_length_le2 *)
-lemma drops_fcla_fwd_le2: â\88\80f,L1,L2,n. â\87©*[â\93\89,f] L1 â\89\98 L2 â\86\92 ð\9d\90\82â¦\83fâ¦\84 ≘ n →
+lemma drops_fcla_fwd_le2: â\88\80f,L1,L2,n. â\87©*[â\93\89,f] L1 â\89\98 L2 â\86\92 ð\9d\90\82â\9dªfâ\9d« ≘ n →
                           n ≤ |L1|.
 #f #L1 #L2 #n #H #Hn elim (drops_fwd_fcla_le2 … H) -H
 #k #Hm #H <(fcla_mono … Hm … Hn) -f //
 qed-.
 
-lemma drops_fwd_fcla_lt2: ∀f,L1,I2,K2. ⇩*[Ⓣ,f] L1 ≘ K2.ⓘ{I2} →
-                          â\88\83â\88\83n. ð\9d\90\82â¦\83fâ¦\84 ≘ n & n < |L1|.
+lemma drops_fwd_fcla_lt2: ∀f,L1,I2,K2. ⇩*[Ⓣ,f] L1 ≘ K2.ⓘ[I2] →
+                          â\88\83â\88\83n. ð\9d\90\82â\9dªfâ\9d« ≘ n & n < |L1|.
 #f #L1 #I2 #K2 #H elim (drops_fwd_fcla … H) -H
 #n #Hf #H >H -L1 /3 width=3 by le_S_S, ex2_intro/
 qed-.
 
 (* Basic_2A1: includes: drop_fwd_length_lt2 *)
 lemma drops_fcla_fwd_lt2: ∀f,L1,I2,K2,n.
-                          ⇩*[Ⓣ,f] L1 ≘ K2.ⓘ{I2} → 𝐂⦃f⦄ ≘ n →
+                          ⇩*[Ⓣ,f] L1 ≘ K2.ⓘ[I2] → 𝐂❪f❫ ≘ n →
                           n < |L1|.
 #f #L1 #I2 #K2 #n #H #Hn elim (drops_fwd_fcla_lt2 … H) -H
 #k #Hm #H <(fcla_mono … Hm … Hn) -f //
 qed-.
 
 (* Basic_2A1: includes: drop_fwd_length_lt4 *)
-lemma drops_fcla_fwd_lt4: â\88\80f,L1,L2,n. â\87©*[â\93\89,f] L1 â\89\98 L2 â\86\92 ð\9d\90\82â¦\83fâ¦\84 ≘ n → 0 < n →
+lemma drops_fcla_fwd_lt4: â\88\80f,L1,L2,n. â\87©*[â\93\89,f] L1 â\89\98 L2 â\86\92 ð\9d\90\82â\9dªfâ\9d« ≘ n → 0 < n →
                           |L2| < |L1|.
 #f #L1 #L2 #n #H #Hf #Hn lapply (drops_fcla_fwd … H Hf) -f
 /2 width=1 by lt_minus_to_plus_r/ qed-.
 
 (* Basic_2A1: includes: drop_inv_length_eq *)
-lemma drops_inv_length_eq: â\88\80f,L1,L2. â\87©*[â\93\89,f] L1 â\89\98 L2 â\86\92 |L1| = |L2| â\86\92 ð\9d\90\88â¦\83fâ¦\84.
+lemma drops_inv_length_eq: â\88\80f,L1,L2. â\87©*[â\93\89,f] L1 â\89\98 L2 â\86\92 |L1| = |L2| â\86\92 ð\9d\90\88â\9dªfâ\9d«.
 #f #L1 #L2 #H #HL12 elim (drops_fwd_fcla … H) -H
 #n #Hn <HL12 -L2 #H lapply (discr_plus_x_xy … H) -H
 /2 width=3 by fcla_inv_xp/
@@ -108,7 +108,7 @@ elim (drops_fwd_fcla … HLK2) -HLK2 #n2 #Hn2 #H2 >H2 -L2
 qed-.
 
 theorem drops_conf_div: ∀f1,f2,L1,L2. ⇩*[Ⓣ,f1] L1 ≘ L2 → ⇩*[Ⓣ,f2] L1 ≘ L2 →
-                        â\88\83â\88\83n. ð\9d\90\82â¦\83f1â¦\84 â\89\98 n & ð\9d\90\82â¦\83f2â¦\84 ≘ n.
+                        â\88\83â\88\83n. ð\9d\90\82â\9dªf1â\9d« â\89\98 n & ð\9d\90\82â\9dªf2â\9d« ≘ n.
 #f1 #f2 #L1 #L2 #H1 #H2
 elim (drops_fwd_fcla … H1) -H1 #n1 #Hf1 #H1
 elim (drops_fwd_fcla … H2) -H2 #n2 #Hf2 >H1 -L1 #H
@@ -116,7 +116,7 @@ lapply (injective_plus_r … H) -L2 #H destruct /2 width=3 by ex2_intro/
 qed-.
 
 theorem drops_conf_div_fcla: ∀f1,f2,L1,L2,n1,n2.
-                             â\87©*[â\93\89,f1] L1 â\89\98 L2 â\86\92 â\87©*[â\93\89,f2] L1 â\89\98 L2 â\86\92 ð\9d\90\82â¦\83f1â¦\84 â\89\98 n1 â\86\92 ð\9d\90\82â¦\83f2â¦\84 ≘ n2 →
+                             â\87©*[â\93\89,f1] L1 â\89\98 L2 â\86\92 â\87©*[â\93\89,f2] L1 â\89\98 L2 â\86\92 ð\9d\90\82â\9dªf1â\9d« â\89\98 n1 â\86\92 ð\9d\90\82â\9dªf2â\9d« ≘ n2 →
                              n1 = n2.
 #f1 #f2 #L1 #L2 #n1 #n2 #Hf1 #Hf2 #Hn1 #Hn2
 lapply (drops_fcla_fwd … Hf1 Hn1) -f1 #H1