- some refactoring and minor additions

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / crx_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_lift.ma
index 9e1bc9f81c6b0d68c33d476ddd3b618f60d7d1c8..5c63129cc3883ee4a5d5437731b0f3771f60d9c0 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_lift.ma
@@ -12,15 +12,15 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/relocation/ldrop_ldrop.ma".
+include "basic_2/substitution/ldrop_ldrop.ma".
 include "basic_2/reduction/crx.ma".
 
-(* CONTEXT-SENSITIVE EXTENDED REDUCIBLE TERMS *******************************)
+(* REDUCIBLE TERMS FOR CONTEXT-SENSITIVE EXTENDED REDUCTION *****************)
 
 (* Properties on relocation *************************************************)
 
-lemma crx_lift: ∀h,g,G,K,T. ⦃G, K⦄ ⊢ 𝐑[h, g]⦃T⦄ → ∀L,s,d,e. ⇩[s, d, e] L ≡ K →
-                ∀U. ⇧[d, e] T ≡ U → ⦃G, L⦄ ⊢ 𝐑[h, g]⦃U⦄.
+lemma crx_lift: ∀h,g,G,K,T. ⦃G, K⦄ ⊢ ➡[h, g] 𝐑⦃T⦄ → ∀L,s,d,e. ⇩[s, d, e] L ≡ K →
+                ∀U. ⇧[d, e] T ≡ U → ⦃G, L⦄ ⊢ ➡[h, g] 𝐑⦃U⦄.
 #h #g #G #K #T #H elim H -K -T
 [ #K #k #l #Hkl #L #s #d #e #_ #X #H
   >(lift_inv_sort1 … H) -X /2 width=2 by crx_sort/
@@ -48,8 +48,8 @@ lemma crx_lift: ∀h,g,G,K,T. ⦃G, K⦄ ⊢ 𝐑[h, g]⦃T⦄ → ∀L,s,d,e. 
 ]
 qed.
 
-lemma crx_inv_lift: ∀h,g,G,L,U. ⦃G, L⦄ ⊢ 𝐑[h, g]⦃U⦄ → ∀K,s,d,e. ⇩[s, d, e] L ≡ K →
-                    ∀T. ⇧[d, e] T ≡ U → ⦃G, K⦄ ⊢ 𝐑[h, g]⦃T⦄.
+lemma crx_inv_lift: ∀h,g,G,L,U. ⦃G, L⦄ ⊢ ➡[h, g] 𝐑⦃U⦄ → ∀K,s,d,e. ⇩[s, d, e] L ≡ K →
+                    ∀T. ⇧[d, e] T ≡ U → ⦃G, K⦄ ⊢ ➡[h, g] 𝐑⦃T⦄.
 #h #g #G #L #U #H elim H -L -U
 [ #L #k #l #Hkl #K #s #d #e #_ #X #H
   >(lift_inv_sort2 … H) -X /2 width=2 by crx_sort/