partial commit of the components before "conversion"

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / acp.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/acp.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/acp.ma
index 0e63d954c93f6ecac4752723d5901aa4409c0d6a..4ad5ffb5e85565a5eb8f4d87fe8ec2cf5623146c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/acp.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/acp.ma
@@ -17,35 +17,31 @@ include "basic_2/substitution/ldrops.ma".
 (* ABSTRACT COMPUTATION PROPERTIES ******************************************)
 
 definition CP1 ≝ λRR:lenv→relation term. λRS:relation term.
-                 ∀L,k. NF … (RR L) RS (⋆k).
+                 ∀L. ∃k. NF … (RR L) RS (⋆k).
 
 definition CP2 ≝ λRR:lenv→relation term. λRS:relation term.
-                 ∀L,K,W,i. ⇩[0,i] L ≡ K. ⓛW → NF … (RR L) RS (#i).
-
-definition CP3 ≝ λRR:lenv→relation term. λRP:lenv→predicate term.
-                 ∀L,V,k. RP L (ⓐ⋆k.V) → RP L V.
-
-definition CP4 ≝ λRR:lenv→relation term. λRS:relation term.
                  ∀L0,L,T,T0,d,e. NF … (RR L) RS T →
                  ⇩[d, e] L0 ≡ L → ⇧[d, e] T ≡ T0 → NF … (RR L0) RS T0.
 
-definition CP4s ≝ λRR:lenv→relation term. λRS:relation term.
+definition CP2s ≝ λRR:lenv→relation term. λRS:relation term.
                   ∀L0,L,des. ⇩*[des] L0 ≡ L →
                   ∀T,T0. ⇧*[des] T ≡ T0 →
                   NF … (RR L) RS T → NF … (RR L0) RS T0.
 
+definition CP3 ≝ λRP:lenv→predicate term.
+                 ∀L,V,k. RP L (ⓐ⋆k.V) → RP L V.
+
 (* requirements for abstract computation properties *)
 record acp (RR:lenv->relation term) (RS:relation term) (RP:lenv→predicate term) : Prop ≝
 { cp1: CP1 RR RS;
   cp2: CP2 RR RS;
-  cp3: CP3 RR RP;
-  cp4: CP4 RR RS
+  cp3: CP3 RP
 }.
 
 (* Basic properties *********************************************************)
 
 (* Basic_1: was: nf2_lift1 *)
-lemma acp_lifts: ∀RR,RS. CP4 RR RS → CP4s RR RS.
+lemma acp_lifts: ∀RR,RS. CP2 RR RS → CP2s RR RS.
 #RR #RS #HRR #L1 #L2 #des #H elim H -L1 -L2 -des
 [ #L #T1 #T2 #H #HT1
   <(lifts_inv_nil … H) -H //