renaming in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / drops_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_drops.ma
index 68eddde1360c4544217a5dd8c064db27aa133380..8549cf02a7e01f280f3e71ae656986b9a1056ca3 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_drops.ma
@@ -20,9 +20,9 @@ include "basic_2/relocation/drops_weight.ma".
 (* Main properties **********************************************************)
 
 (* Basic_2A1: includes: drop_conf_ge drop_conf_be drop_conf_le *)
-theorem drops_conf: â\88\80b1,f1,L1,L. â¬\87*[b1, f1] L1 â\89¡ L →
-                    â\88\80b2,f,L2. â¬\87*[b2, f] L1 â\89¡ L2 →
-                    â\88\80f2. f1 â\8a\9a f2 â\89¡ f â\86\92 â¬\87*[b2, f2] L â\89¡ L2.
+theorem drops_conf: â\88\80b1,f1,L1,L. â¬\87*[b1, f1] L1 â\89\98 L →
+                    â\88\80b2,f,L2. â¬\87*[b2, f] L1 â\89\98 L2 →
+                    â\88\80f2. f1 â\8a\9a f2 â\89\98 f â\86\92 â¬\87*[b2, f2] L â\89\98 L2.
 #b1 #f1 #L1 #L #H elim H -f1 -L1 -L
 [ #f1 #_ #b2 #f #L2 #HL2 #f2 #Hf12 elim (drops_inv_atom1 … HL2) -b1 -HL2
   #H #Hf destruct @drops_atom
@@ -41,9 +41,9 @@ qed-.
 (* Basic_2A1: includes: drop_trans_ge drop_trans_le drop_trans_ge_comm 
                         drops_drop_trans
 *)
-theorem drops_trans: â\88\80b1,f1,L1,L. â¬\87*[b1, f1] L1 â\89¡ L →
-                     â\88\80b2,f2,L2. â¬\87*[b2, f2] L â\89¡ L2 →
-                     â\88\80f. f1 â\8a\9a f2 â\89¡ f â\86\92 â¬\87*[b1â\88§b2, f] L1 â\89¡ L2.
+theorem drops_trans: â\88\80b1,f1,L1,L. â¬\87*[b1, f1] L1 â\89\98 L →
+                     â\88\80b2,f2,L2. â¬\87*[b2, f2] L â\89\98 L2 →
+                     â\88\80f. f1 â\8a\9a f2 â\89\98 f â\86\92 â¬\87*[b1â\88§b2, f] L1 â\89\98 L2.
 #b1 #f1 #L1 #L #H elim H -f1 -L1 -L
 [ #f1 #Hf1 #b2 #f2 #L2 #HL2 #f #Hf elim (drops_inv_atom1 … HL2) -HL2
   #H #Hf2 destruct @drops_atom #H elim (andb_inv_true_dx … H) -H
@@ -59,8 +59,8 @@ theorem drops_trans: ∀b1,f1,L1,L. ⬇*[b1, f1] L1 ≡ L →
 ]
 qed-.
 
-theorem drops_conf_div: â\88\80f1,L,K. â¬\87*[â\93\89,f1] L â\89¡ K â\86\92 â\88\80f2. â¬\87*[â\93\89,f2] L â\89¡ K →
-                        ð\9d\90\94â¦\83f1â¦\84 â\86\92 ð\9d\90\94â¦\83f2â¦\84 â\86\92 f1 â\89\97 f2.
+theorem drops_conf_div: â\88\80f1,L,K. â¬\87*[â\93\89,f1] L â\89\98 K â\86\92 â\88\80f2. â¬\87*[â\93\89,f2] L â\89\98 K →
+                        ð\9d\90\94â¦\83f1â¦\84 â\86\92 ð\9d\90\94â¦\83f2â¦\84 â\86\92 f1 â\89¡ 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/
@@ -85,28 +85,28 @@ qed-.
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: includes: drop_mono *)
-lemma drops_mono: â\88\80b1,f,L,L1. â¬\87*[b1, f] L â\89¡ L1 →
-                  â\88\80b2,L2. â¬\87*[b2, f] L â\89¡ L2 → L1 = L2.
+lemma drops_mono: â\88\80b1,f,L,L1. â¬\87*[b1, f] L â\89\98 L1 →
+                  â\88\80b2,L2. â¬\87*[b2, f] L â\89\98 L2 → L1 = L2.
 #b1 #f #L #L1 lapply (after_isid_dx 𝐈𝐝 … f)
 /3 width=8 by drops_conf, drops_fwd_isid/
 qed-.
 
 (* Basic_2A1: includes: drop_conf_lt *)
-lemma drops_conf_skip1: â\88\80b2,f,L,L2. â¬\87*[b2, f] L â\89¡ L2 →
-                        â\88\80b1,f1,I1,K1. â¬\87*[b1, f1] L â\89¡ K1.ⓘ{I1} →
-                        â\88\80f2. f1 â\8a\9a â\86\91f2 â\89¡ f →
+lemma drops_conf_skip1: â\88\80b2,f,L,L2. â¬\87*[b2, f] L â\89\98 L2 →
+                        â\88\80b1,f1,I1,K1. â¬\87*[b1, f1] L â\89\98 K1.ⓘ{I1} →
+                        â\88\80f2. f1 â\8a\9a ⫯f2 â\89\98 f →
                         ∃∃I2,K2. L2 = K2.ⓘ{I2} &
-                                 â¬\87*[b2, f2] K1 â\89¡ K2 & â¬\86*[f2] I2 â\89¡ I1.
+                                 â¬\87*[b2, f2] K1 â\89\98 K2 & â¬\86*[f2] I2 â\89\98 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/
 qed-.
 
 (* Basic_2A1: includes: drop_trans_lt *)
-lemma drops_trans_skip2: â\88\80b1,f1,L1,L. â¬\87*[b1, f1] L1 â\89¡ L →
-                         â\88\80b2,f2,I2,K2. â¬\87*[b2, f2] L â\89¡ K2.ⓘ{I2} →
-                         â\88\80f. f1 â\8a\9a f2 â\89¡ â\86\91f →
+lemma drops_trans_skip2: â\88\80b1,f1,L1,L. â¬\87*[b1, f1] L1 â\89\98 L →
+                         â\88\80b2,f2,I2,K2. â¬\87*[b2, f2] L â\89\98 K2.ⓘ{I2} →
+                         â\88\80f. f1 â\8a\9a f2 â\89\98 ⫯f →
                          ∃∃I1,K1. L1 = K1.ⓘ{I1} &
-                                  â¬\87*[b1â\88§b2, f] K1 â\89¡ K2 & â¬\86*[f] I2 â\89¡ I1.
+                                  â¬\87*[b1â\88§b2, f] K1 â\89\98 K2 & â¬\86*[f] I2 â\89\98 I1.
 #b1 #f1 #L1 #L #H1 #b2 #f2 #I2 #K2 #H2 #f #Hf
 lapply (drops_trans … H1 … H2 … Hf) -L -Hf
 #H elim (drops_inv_skip2 … H) -H /2 width=5 by ex3_2_intro/
@@ -114,8 +114,8 @@ qed-.
 
 (* Basic_2A1: includes: drops_conf_div *)
 lemma drops_conf_div_bind: ∀f1,f2,I1,I2,L,K.
-                           â¬\87*[â\93\89, f1] L â\89¡ K.â\93\98{I1} â\86\92 â¬\87*[â\93\89, f2] L â\89¡ K.ⓘ{I2} →
-                           ð\9d\90\94â¦\83f1â¦\84 â\86\92 ð\9d\90\94â¦\83f2â¦\84 â\86\92 f1 â\89\97 f2 ∧ I1 = I2.
+                           â¬\87*[â\93\89, f1] L â\89\98 K.â\93\98{I1} â\86\92 â¬\87*[â\93\89, f2] L â\89\98 K.ⓘ{I2} →
+                           ð\9d\90\94â¦\83f1â¦\84 â\86\92 ð\9d\90\94â¦\83f2â¦\84 â\86\92 f1 â\89¡ 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
@@ -126,7 +126,7 @@ lapply (drops_mono … H0 … Hf2) -L #H
 destruct /2 width=1 by conj/
 qed-.
 
-lemma drops_inv_uni: â\88\80L,i. â¬\87*[â\92», ð\9d\90\94â\9d´iâ\9dµ] L â\89¡ â\8b\86 â\86\92 â\88\80I,K. â¬\87*[i] L â\89¡ K.ⓘ{I} → ⊥.
+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.ⓘ{I} → ⊥.
 #L #i #H1 #I #K #H2
 lapply (drops_F … H2) -H2 #H2
 lapply (drops_mono … H2 … H1) -L -i #H destruct