update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_drops.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_drops.ma
index f8a65c53638fd411f6c0506496939045416cfb4b..b90bf07df102be28f7c7686bfb8e4a85e9d19b31 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_drops.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_drops.ma
@@ -60,7 +60,7 @@ theorem drops_trans: ∀b1,f1,L1,L. ⇩*[b1,f1] L1 ≘ L →
 qed-.
 
 theorem drops_conf_div: ∀f1,L,K. ⇩*[Ⓣ,f1] L ≘ K → ∀f2. ⇩*[Ⓣ,f2] L ≘ K →
-                        ð\9d\90\94â¦\83f1â¦\84 â\86\92 ð\9d\90\94â¦\83f2â¦\84 → f1 ≡ f2.
+                        ð\9d\90\94â\9dªf1â\9d« â\86\92 ð\9d\90\94â\9dªf2â\9d« → f1 ≡ f2.
 #f1 #L #K #H elim H -f1 -L -K
 [ #f1 #Hf1 #f2 #Hf2 elim (drops_inv_atom1 … Hf2) -Hf2
   /3 width=1 by isid_inv_eq_repl/
@@ -91,7 +91,7 @@ lemma drops_mono: ∀b1,f,L,L1. ⇩*[b1,f] L ≘ L1 →
 /3 width=8 by drops_conf, drops_fwd_isid/
 qed-.
 
-lemma drops_inv_uni: â\88\80L,i. â\87©*[â\92»,ð\9d\90\94â\9d´iâ\9dµ] L â\89\98 â\8b\86 â\86\92 â\88\80I,K. â\87©*[i] L â\89\98 K.â\93\98{I} → ⊥.
+lemma drops_inv_uni: â\88\80L,i. â\87©*[â\92»,ð\9d\90\94â\9d¨iâ\9d©] L â\89\98 â\8b\86 â\86\92 â\88\80I,K. â\87©*[i] L â\89\98 K.â\93\98[I] → ⊥.
 #L #i #H1 #I #K #H2
 lapply (drops_F … H2) -H2 #H2
 lapply (drops_mono … H2 … H1) -L -i #H destruct
@@ -107,9 +107,9 @@ qed-.
 
 (* Basic_2A1: includes: drop_conf_lt *)
 lemma drops_conf_skip1: ∀b2,f,L,L2. ⇩*[b2,f] L ≘ L2 →
-                        ∀b1,f1,I1,K1. ⇩*[b1,f1] L ≘ K1.ⓘ{I1} →
+                        ∀b1,f1,I1,K1. ⇩*[b1,f1] L ≘ K1.ⓘ[I1] →
                         ∀f2. f1 ⊚ ⫯f2 ≘ f →
-                        ∃∃I2,K2. L2 = K2.ⓘ{I2} &
+                        ∃∃I2,K2. L2 = K2.ⓘ[I2] &
                                  ⇩*[b2,f2] K1 ≘ K2 & ⇧*[f2] I2 ≘ I1.
 #b2 #f #L #L2 #H2 #b1 #f1 #I1 #K1 #H1 #f2 #Hf lapply (drops_conf … H1 … H2 … Hf) -L -Hf
 #H elim (drops_inv_skip1 … H) -H /2 width=5 by ex3_2_intro/
@@ -117,9 +117,9 @@ qed-.
 
 (* Basic_2A1: includes: drop_trans_lt *)
 lemma drops_trans_skip2: ∀b1,f1,L1,L. ⇩*[b1,f1] L1 ≘ L →
-                         ∀b2,f2,I2,K2. ⇩*[b2,f2] L ≘ K2.ⓘ{I2} →
+                         ∀b2,f2,I2,K2. ⇩*[b2,f2] L ≘ K2.ⓘ[I2] →
                          ∀f. f1 ⊚ f2 ≘ ⫯f →
-                         ∃∃I1,K1. L1 = K1.ⓘ{I1} &
+                         ∃∃I1,K1. L1 = K1.ⓘ[I1] &
                                   ⇩*[b1∧b2,f] K1 ≘ K2 & ⇧*[f] I2 ≘ I1.
 #b1 #f1 #L1 #L #H1 #b2 #f2 #I2 #K2 #H2 #f #Hf
 lapply (drops_trans … H1 … H2 … Hf) -L -Hf
@@ -128,8 +128,8 @@ qed-.
 
 (* Basic_2A1: includes: drops_conf_div *)
 lemma drops_conf_div_bind: ∀f1,f2,I1,I2,L,K.
-                           ⇩*[Ⓣ,f1] L ≘ K.ⓘ{I1} → ⇩*[Ⓣ,f2] L ≘ K.ⓘ{I2} →
-                           ð\9d\90\94â¦\83f1â¦\84 â\86\92 ð\9d\90\94â¦\83f2â¦\84 → f1 ≡ f2 ∧ I1 = I2.
+                           ⇩*[Ⓣ,f1] L ≘ K.ⓘ[I1] → ⇩*[Ⓣ,f2] L ≘ K.ⓘ[I2] →
+                           ð\9d\90\94â\9dªf1â\9d« â\86\92 ð\9d\90\94â\9dªf2â\9d« → f1 ≡ f2 ∧ I1 = I2.
 #f1 #f2 #I1 #I2 #L #K #Hf1 #Hf2 #HU1 #HU2
 lapply (drops_isuni_fwd_drop2 … Hf1) // #H1
 lapply (drops_isuni_fwd_drop2 … Hf2) // #H2