update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/rex_drops.ma b/matita/matita/contribs/lambdadelta/static_2/static/rex_drops.ma
index b6374ac0b04edbdd5bbe445b8c16e038b79282fa..d7ed815cdbd6ef5e1ed61ba33ec884d06248105b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/rex_drops.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/rex_drops.ma
@@ -27,24 +27,24 @@ definition f_dedropable_sn:
 
 definition f_dropable_sn:
            predicate (relation3 lenv term term) ≝ λR.
-           â\88\80b,f,L1,K1. â\87©*[b,f] L1 â\89\98 K1 â\86\92 ð\9d\90\94â\9dªfâ\9d« →
+           â\88\80b,f,L1,K1. â\87©*[b,f] L1 â\89\98 K1 â\86\92 ð\9d\90\94â\9d¨fâ\9d© →
            ∀L2,U. L1 ⪤[R,U] L2 → ∀T. ⇧*[f] T ≘ U →
            ∃∃K2. K1 ⪤[R,T] K2 & ⇩*[b,f] L2 ≘ K2.
 
 definition f_dropable_dx:
            predicate (relation3 lenv term term) ≝ λR.
            ∀L1,L2,U. L1 ⪤[R,U] L2 →
-           â\88\80b,f,K2. â\87©*[b,f] L2 â\89\98 K2 â\86\92 ð\9d\90\94â\9dªfâ\9d« → ∀T. ⇧*[f] T ≘ U →
+           â\88\80b,f,K2. â\87©*[b,f] L2 â\89\98 K2 â\86\92 ð\9d\90\94â\9d¨fâ\9d© → ∀T. ⇧*[f] T ≘ U →
            ∃∃K1. ⇩*[b,f] L1 ≘ K1 & K1 ⪤[R,T] K2.
 
 definition f_transitive_next:
            relation3 … ≝ λR1,R2,R3.
-           â\88\80f,L,T. L â\8a¢ ð\9d\90\85+â\9dªTâ\9d« ≘ f →
+           â\88\80f,L,T. L â\8a¢ ð\9d\90\85+â\9d¨Tâ\9d© ≘ f →
            ∀g,I,K,i. ⇩[i] L ≘ K.ⓘ[I] → ↑g = ⫰*[i] f →
            R_pw_transitive_sex (cext2 R1) (cext2 R2) (cext2 R3) (cext2 R1) cfull g K I.
 
 definition f_confluent1_next: relation2 … ≝ λR1,R2.
-           â\88\80f,L,T. L â\8a¢ ð\9d\90\85+â\9dªTâ\9d« ≘ f →
+           â\88\80f,L,T. L â\8a¢ ð\9d\90\85+â\9d¨Tâ\9d© ≘ f →
            ∀g,I,K,i. ⇩[i] L ≘ K.ⓘ[I] → ↑g = ⫰*[i] f →
            R_pw_confluent1_sex (cext2 R1) (cext2 R1) (cext2 R2) cfull g K I.
 
@@ -112,7 +112,7 @@ qed-.
 
 (* Basic_2A1: uses: llpx_sn_inv_lift_O *)
 lemma rex_inv_lifts_bi (R):
-      â\88\80L1,L2,U. L1 ⪤[R,U] L2 â\86\92 â\88\80b,f. ð\9d\90\94â\9dªfâ\9d« →
+      â\88\80L1,L2,U. L1 ⪤[R,U] L2 â\86\92 â\88\80b,f. ð\9d\90\94â\9d¨fâ\9d© →
       ∀K1,K2. ⇩*[b,f] L1 ≘ K1 → ⇩*[b,f] L2 ≘ K2 →
       ∀T. ⇧*[f] T ≘ U → K1 ⪤[R,T] K2.
 #R #L1 #L2 #U #HL12 #b #f #Hf #K1 #K2 #HLK1 #HLK2 #T #HTU
@@ -149,7 +149,7 @@ qed-.
 
 lemma rex_inv_lref_unit_sn (R):
       ∀L1,L2,i. L1 ⪤[R,#i] L2 → ∀I,K1. ⇩[i] L1 ≘ K1.ⓤ[I] →
-      â\88\83â\88\83f,K2. â\87©[i] L2 â\89\98 K2.â\93¤[I] & K1 ⪤[cext2 R,cfull,f] K2 & ð\9d\90\88â\9dªfâ\9d«.
+      â\88\83â\88\83f,K2. â\87©[i] L2 â\89\98 K2.â\93¤[I] & K1 ⪤[cext2 R,cfull,f] K2 & ð\9d\90\88â\9d¨fâ\9d©.
 #R #L1 #L2 #i #HL12 #I #K1 #HLK1 elim (rex_dropable_sn … HLK1 … HL12 (#0)) -HLK1 -HL12 //
 #Y #HY #HLK2 elim (rex_inv_zero_unit_sn … HY) -HY
 #f #K2 #Hf #HK12 #H destruct /2 width=5 by ex3_2_intro/
@@ -157,7 +157,7 @@ qed-.
 
 lemma rex_inv_lref_unit_dx (R):
       ∀L1,L2,i. L1 ⪤[R,#i] L2 → ∀I,K2. ⇩[i] L2 ≘ K2.ⓤ[I] →
-      â\88\83â\88\83f,K1. â\87©[i] L1 â\89\98 K1.â\93¤[I] & K1 ⪤[cext2 R,cfull,f] K2 & ð\9d\90\88â\9dªfâ\9d«.
+      â\88\83â\88\83f,K1. â\87©[i] L1 â\89\98 K1.â\93¤[I] & K1 ⪤[cext2 R,cfull,f] K2 & ð\9d\90\88â\9d¨fâ\9d©.
 #R #L1 #L2 #i #HL12 #I #K2 #HLK2 elim (rex_dropable_dx … HL12 … HLK2 … (#0)) -HLK2 -HL12 //
 #Y #HLK1 #HY elim (rex_inv_zero_unit_dx … HY) -HY
 #f #K2 #Hf #HK12 #H destruct /2 width=5 by ex3_2_intro/