we now use non-telescopic substitution in parallel reduction, rather

[helm.git] / matita / matita / contribs / lambda-delta / Basic-2 / reduction / lcpr.ma

diff --git a/matita/matita/contribs/lambda-delta/Basic-2/reduction/lcpr.ma b/matita/matita/contribs/lambda-delta/Basic-2/reduction/lcpr.ma
index 1b19df78fb3721abb7122cf333d337e1b553067c..3098a24561d5887edbbaeb7170feba7c1b86fe11 100644 (file)
--- a/matita/matita/contribs/lambda-delta/Basic-2/reduction/lcpr.ma
+++ b/matita/matita/contribs/lambda-delta/Basic-2/reduction/lcpr.ma
@@ -19,7 +19,7 @@ include "Basic-2/reduction/cpr.ma".
 inductive lcpr: lenv → lenv → Prop ≝
 | lcpr_sort: lcpr (⋆) (⋆)
 | lcpr_item: ∀K1,K2,I,V1,V2.
-             lcpr K1 K2 → K1 ⊢ V1 ⇒ V2 → lcpr (K1. 𝕓{I} V1) (K2. 𝕓{I} V2) (*𝕓*)
+             lcpr K1 K2 → K2 ⊢ V1 ⇒ V2 → lcpr (K1. 𝕓{I} V1) (K2. 𝕓{I} V2) (*𝕓*)
 .
 
 interpretation
@@ -29,7 +29,7 @@ interpretation
 (* Basic inversion lemmas ***************************************************)
 
 lemma lcpr_inv_item1_aux: ∀L1,L2. L1 ⊢ ⇒ L2 → ∀K1,I,V1. L1 = K1. 𝕓{I} V1 →
-                          ∃∃K2,V2. K1 ⊢ ⇒ K2 & K1 ⊢ V1 ⇒ V2 & L2 = K2. 𝕓{I} V2.
+                          ∃∃K2,V2. K1 ⊢ ⇒ K2 & K2 ⊢ V1 ⇒ V2 & L2 = K2. 𝕓{I} V2.
 #L1 #L2 * -L1 L2
 [ #K1 #I #V1 #H destruct
 | #K1 #K2 #I #V1 #V2 #HK12 #HV12 #L #J #W #H destruct - K1 I V1 /2 width=5/
@@ -37,5 +37,5 @@ lemma lcpr_inv_item1_aux: ∀L1,L2. L1 ⊢ ⇒ L2 → ∀K1,I,V1. L1 = K1. 𝕓{
 qed.
 
 lemma lcpr_inv_item1: ∀K1,I,V1,L2. K1. 𝕓{I} V1 ⊢ ⇒ L2 →
-                      ∃∃K2,V2. K1 ⊢ ⇒ K2 & K1 ⊢ V1 ⇒ V2 & L2 = K2. 𝕓{I} V2.
+                      ∃∃K2,V2. K1 ⊢ ⇒ K2 & K2 ⊢ V1 ⇒ V2 & L2 = K2. 𝕓{I} V2.
 /2/ qed.