partial commit in static_2

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

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_lex.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_lex.ma
index 97a95c63852675acc20b33516bbe6e2be3fc4478..4e261897dd387e0e8a7a7fc8cebc5dfd7eca976d 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_lex.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_lex.ma
@@ -23,11 +23,11 @@ definition dedropable_sn: predicate … ≝
                           ∃∃L2. L1 ⪤[R] L2 & ⇩*[b,f] L2 ≘ K2 & L1 ≡[f] L2.
 
 definition dropable_sn: predicate … ≝
-                        λR. â\88\80b,f,L1,K1. â\87©*[b,f] L1 â\89\98 K1 â\86\92 ð\9d\90\94â¦\83fâ¦\84 → ∀L2. L1 ⪤[R] L2 →
+                        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« → ∀L2. L1 ⪤[R] L2 →
                         ∃∃K2. K1 ⪤[R] K2 & ⇩*[b,f] L2 ≘ K2.
 
 definition dropable_dx: predicate … ≝
-                        λR. â\88\80L1,L2. L1 ⪤[R] L2 â\86\92 â\88\80b,f,K2. â\87©*[b,f] L2 â\89\98 K2 â\86\92 ð\9d\90\94â¦\83fâ¦\84 →
+                        λR. â\88\80L1,L2. L1 ⪤[R] L2 â\86\92 â\88\80b,f,K2. â\87©*[b,f] L2 â\89\98 K2 â\86\92 ð\9d\90\94â\9dªfâ\9d« →
                         ∃∃K1. ⇩*[b,f] L1 ≘ K1 & K1 ⪤[R] K2.
 
 (* Properties with generic extension ****************************************)
@@ -37,7 +37,7 @@ lemma lex_liftable_dedropable_sn (R): c_reflexive … R →
                                       d_liftable2_sn … lifts R → dedropable_sn R.
 #R #H1R #H2R #b #f #L1 #K1 #HLK1 #K2 * #f1 #Hf1 #HK12
 elim (sex_liftable_co_dedropable_sn … HLK1 … HK12) -K1
-/3 width=6 by cext2_d_liftable2_sn, cfull_lift_sn, ext2_refl, coafter_isid_dx, ex3_intro, ex2_intro/
+/3 width=6 by cext2_d_liftable2_sn, cfull_lift_sn, ext2_refl, pr_coafter_isi_dx, ex3_intro, ex2_intro/
 qed-.
 
 (* Inversion lemmas with generic extension **********************************)
@@ -46,38 +46,38 @@ qed-.
 lemma lex_dropable_sn (R): dropable_sn R.
 #R #b #f #L1 #K1 #HLK1 #H1f #L2 * #f2 #Hf2 #HL12
 elim (sex_co_dropable_sn … HLK1 … HL12) -L1
-/3 width=3 by coafter_isid_dx, ex2_intro/
+/3 width=3 by pr_coafter_isi_dx, ex2_intro/
 qed-.
 
 (* Basic_2A1: was: lpx_sn_dropable *)
 lemma lex_dropable_dx (R): dropable_dx R.
 #R #L1 #L2 * #f2 #Hf2 #HL12 #b #f #K2 #HLK2 #Hf
 elim (sex_co_dropable_dx … HL12 … HLK2) -L2
-/3 width=5 by coafter_isid_dx, ex2_intro/
+/3 width=5 by pr_coafter_isi_dx, ex2_intro/
 qed-.
 
 (* Basic_2A1: includes: lpx_sn_drop_conf *)
 lemma lex_drops_conf_pair (R): ∀L1,L2. L1 ⪤[R] L2 →
-                               ∀b,f,I,K1,V1. ⇩*[b,f] L1 ≘ K1.ⓑ{I}V1 → 𝐔⦃f⦄ →
-                               ∃∃K2,V2. ⇩*[b,f] L2 ≘ K2.ⓑ{I}V2 & K1 ⪤[R] K2 & R K1 V1 V2.
+                               ∀b,f,I,K1,V1. ⇩*[b,f] L1 ≘ K1.ⓑ[I]V1 → 𝐔❪f❫ →
+                               ∃∃K2,V2. ⇩*[b,f] L2 ≘ K2.ⓑ[I]V2 & K1 ⪤[R] K2 & R K1 V1 V2.
 #R #L1 #L2 * #f2 #Hf2 #HL12 #b #f #I #K1 #V1 #HLK1 #Hf
 elim (sex_drops_conf_push … HL12 … HLK1 Hf f2) -L1 -Hf
 [ #Z2 #K2 #HLK2 #HK12 #H
   elim (ext2_inv_pair_sn … H) -H #V2 #HV12 #H destruct
   /3 width=5 by ex3_2_intro, ex2_intro/
-| /3 width=3 by coafter_isid_dx, isid_push/
+| /3 width=3 by pr_coafter_isi_dx, pr_isi_push/
 ]
 qed-.
 
 (* Basic_2A1: includes: lpx_sn_drop_trans *)
 lemma lex_drops_trans_pair (R): ∀L1,L2. L1 ⪤[R] L2 →
-                                ∀b,f,I,K2,V2. ⇩*[b,f] L2 ≘ K2.ⓑ{I}V2 → 𝐔⦃f⦄ →
-                                ∃∃K1,V1. ⇩*[b,f] L1 ≘ K1.ⓑ{I}V1 & K1 ⪤[R] K2 & R K1 V1 V2.
+                                ∀b,f,I,K2,V2. ⇩*[b,f] L2 ≘ K2.ⓑ[I]V2 → 𝐔❪f❫ →
+                                ∃∃K1,V1. ⇩*[b,f] L1 ≘ K1.ⓑ[I]V1 & K1 ⪤[R] K2 & R K1 V1 V2.
 #R #L1 #L2 * #f2 #Hf2 #HL12 #b #f #I #K2 #V2 #HLK2 #Hf
 elim (sex_drops_trans_push … HL12 … HLK2 Hf f2) -L2 -Hf
 [ #Z1 #K1 #HLK1 #HK12 #H
   elim (ext2_inv_pair_dx … H) -H #V1 #HV12 #H destruct
   /3 width=5 by ex3_2_intro, ex2_intro/
-| /3 width=3 by coafter_isid_dx, isid_push/
+| /3 width=3 by pr_coafter_isi_dx, pr_isi_push/
 ]
 qed-.