- bugfixed "aacr" allows to remove historical eta-conversions

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/acp_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/acp_aaa.ma
index 0c8ed725ba6e5265d69ca0938ad3706e1e0c5ec7..be5351c2b9f9fffb4bcacc62b90bc0e472babb7d 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/acp_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/acp_aaa.ma
@@ -24,7 +24,7 @@ include "basic_2/computation/lsubc_drops.ma".
 
 (* Basic_1: was: sc3_arity_csubc *)
 theorem aacr_aaa_csubc_lifts: ∀RR,RS,RP.
-                              acp RR RS RP → acr RR RS RP (λG,L,T. RP G L T) →
+                              acp RR RS RP → acr RR RS RP RP →
                               ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A → ∀L0,des. ⇩*[Ⓕ, des] L0 ≡ L1 →
                               ∀T0. ⇧*[des] T ≡ T0 → ∀L2. G ⊢ L2 ⫃[RP] L0 →
                               ⦃G, L2, T0⦄ ϵ[RP] 〚A〛.
@@ -69,7 +69,7 @@ theorem aacr_aaa_csubc_lifts: ∀RR,RS,RP.
   elim (drops_lsubc_trans … H1RP H2RP … HL32 … HL02) -L2 #L2 #HL32 #HL20
   lapply (aaa_lifts … L2 W3 … (des @@ des3) … HLWB) -HLWB /2 width=4 by drops_trans, lifts_trans/ #HLW2B
   @(IHA (L2. ⓛW3) … (des + 1 @@ des3 + 1)) -IHA 
-  /3 width=5 by lsubc_abbr, drops_trans, drops_skip, lifts_trans/
+  /3 width=5 by lsubc_beta, drops_trans, drops_skip, lifts_trans/
 | #G #L #V #T #B #A #_ #_ #IHB #IHA #L0 #des #HL0 #X #H #L2 #HL20
   elim (lifts_inv_flat1 … H) -H #V0 #T0 #HV0 #HT0 #H destruct
   /3 width=10 by drops_nil, lifts_nil/
@@ -81,11 +81,11 @@ theorem aacr_aaa_csubc_lifts: ∀RR,RS,RP.
 qed.
 
 (* Basic_1: was: sc3_arity *)
-lemma aacr_aaa: ∀RR,RS,RP. acp RR RS RP → acr RR RS RP (λG,L,T. RP G L T) →
+lemma aacr_aaa: ∀RR,RS,RP. acp RR RS RP → acr RR RS RP RP →
                 ∀G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ⦃G, L, T⦄ ϵ[RP] 〚A〛.
 /2 width=8 by drops_nil, lifts_nil, aacr_aaa_csubc_lifts/ qed.
 
-lemma acp_aaa: ∀RR,RS,RP. acp RR RS RP → acr RR RS RP (λG,L,T. RP G L T) →
+lemma acp_aaa: ∀RR,RS,RP. acp RR RS RP → acr RR RS RP RP →
                ∀G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → RP G L T.
 #RR #RS #RP #H1RP #H2RP #G #L #T #A #HT
 lapply (aacr_acr … H1RP H2RP A) #HA