]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_drops.ma
- notational change for cpg and cpx
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_drops.ma
index 6caaa1d76034add06129dd5aa43f395e96bbe44f..98c2b491fa392555ab26a43960208a8c2c05c73c 100644 (file)
 include "basic_2/rt_transition/cpg_drops.ma".
 include "basic_2/rt_transition/cpx.ma".
 
-(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS *****************)
+(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS *************)
 
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: was: cpx_delta *)
 lemma cpx_delta_drops: ∀h,I,G,L,K,V,V2,W2,i.
-                       â¬\87*[i] L â\89¡ K.â\93\91{I}V â\86\92 â¦\83G, Kâ¦\84 â\8a¢ V â\9e¡[h] V2 →
-                       â¬\86*[⫯i] V2 â\89¡ W2 â\86\92 â¦\83G, Lâ¦\84 â\8a¢ #i â\9e¡[h] W2.
+                       â¬\87*[i] L â\89¡ K.â\93\91{I}V â\86\92 â¦\83G, Kâ¦\84 â\8a¢ V â¬\88[h] V2 →
+                       â¬\86*[⫯i] V2 â\89¡ W2 â\86\92 â¦\83G, Lâ¦\84 â\8a¢ #i â¬\88[h] W2.
 #h * #G #L #K #V #V2 #W2 #i #HLK *
 /3 width=7 by cpg_ell_drops, cpg_delta_drops, ex_intro/
 qed.
@@ -30,19 +30,19 @@ qed.
 (* Advanced inversion lemmas ************************************************)
 
 (* Basic_2A1: was: cpx_inv_atom1 *)
-lemma cpx_inv_atom1_drops: â\88\80h,I,G,L,T2. â¦\83G, Lâ¦\84 â\8a¢ â\93ª{I} â\9e¡[h] T2 →
+lemma cpx_inv_atom1_drops: â\88\80h,I,G,L,T2. â¦\83G, Lâ¦\84 â\8a¢ â\93ª{I} â¬\88[h] T2 →
                            ∨∨ T2 = ⓪{I}
                             | ∃∃s. T2 = ⋆(next h s) & I = Sort s
-                            | â\88\83â\88\83J,K,V,V2,i. â¬\87*[i] L â\89¡ K.â\93\91{J}V & â¦\83G, Kâ¦\84 â\8a¢ V â\9e¡[h] V2 &
+                            | â\88\83â\88\83J,K,V,V2,i. â¬\87*[i] L â\89¡ K.â\93\91{J}V & â¦\83G, Kâ¦\84 â\8a¢ V â¬\88[h] V2 &
                                             ⬆*[⫯i] V2 ≡ T2 & I = LRef i.
 #h #I #G #L #T2 * #c #H elim (cpg_inv_atom1_drops … H) -H *
 /4 width=9 by or3_intro0, or3_intro1, or3_intro2, ex4_5_intro, ex2_intro, ex_intro/
 qed-.
 
 (* Basic_2A1: was: cpx_inv_lref1 *)
-lemma cpx_inv_lref1_drops: â\88\80h,G,L,T2,i. â¦\83G, Lâ¦\84 â\8a¢ #i â\9e¡[h] T2 →
+lemma cpx_inv_lref1_drops: â\88\80h,G,L,T2,i. â¦\83G, Lâ¦\84 â\8a¢ #i â¬\88[h] T2 →
                            T2 = #i ∨
-                           â\88\83â\88\83J,K,V,V2. â¬\87*[i] L â\89¡ K. â\93\91{J}V & â¦\83G, Kâ¦\84 â\8a¢ V â\9e¡[h] V2 &
+                           â\88\83â\88\83J,K,V,V2. â¬\87*[i] L â\89¡ K. â\93\91{J}V & â¦\83G, Kâ¦\84 â\8a¢ V â¬\88[h] V2 &
                                        ⬆*[⫯i] V2 ≡ T2.
 #h #G #L #T1 #i * #c #H elim (cpg_inv_lref1_drops … H) -H *
 /4 width=7 by ex3_4_intro, ex_intro, or_introl, or_intror/