commit completed: now we support two versions of slicing for local

[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 3656d36f66f42ec22e293262756ae6d41c85faa2..3c393b9a324ab605c2f7feed6891db78c32b6ed8 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/acp_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/acp_aaa.ma
@@ -25,7 +25,7 @@ include "basic_2/computation/lsubc_ldrops.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) →
-                              ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A → ∀L0,des. ⇩*[des] L0 ≡ L1 →
+                              ∀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〛.
 #RR #RS #RP #H1RP #H2RP #G #L1 #T #A #H elim H -G -L1 -T -A
@@ -36,7 +36,7 @@ theorem aacr_aaa_csubc_lifts: ∀RR,RS,RP.
 | #I #G #L1 #K1 #V1 #B #i #HLK1 #HKV1B #IHB #L0 #des #HL01 #X #H #L2 #HL20
   lapply (aacr_acr … H1RP H2RP B) #HB
   elim (lifts_inv_lref1 … H) -H #i1 #Hi1 #H destruct
-  lapply (ldrop_fwd_ldrop2 … HLK1) #HK1b
+  lapply (ldrop_fwd_drop2 … HLK1) #HK1b
   elim (ldrops_ldrop_trans … HL01 … HLK1) #X #des1 #i0 #HL0 #H #Hi0 #Hdes1
   >(at_mono … Hi1 … Hi0) -i1
   elim (ldrops_inv_skip2 … Hdes1 … H) -des1 #K0 #V0 #des0 #Hdes0 #HK01 #HV10 #H destruct
@@ -48,7 +48,7 @@ theorem aacr_aaa_csubc_lifts: ∀RR,RS,RP.
     @(s5 … HB … (◊) … HV0 HLK2) /3 width=7 by ldrops_cons, lifts_cons/ (* Note: uses IHB HL20 V2 HV0 *)
   | -HLK1 -IHB -HL01 -HL20 -HK1b -Hi0 -Hdes0
     #K2 #V2 #A2 #HKV2A #H1KV0A #H2KV0A #_ #H1 #H2 destruct
-    lapply (ldrop_fwd_ldrop2 … HLK2) #HLK2b
+    lapply (ldrop_fwd_drop2 … HLK2) #HLK2b
     lapply (aaa_lifts … HK01 … HV10 HKV1B) -HKV1B -HK01 -HV10 #HKV0B
     lapply (aaa_mono … H2KV0A … HKV0B) #H destruct -H2KV0A -HKV0B
     elim (lift_total V0 0 (i0 +1)) #V3 #HV03
@@ -67,8 +67,9 @@ theorem aacr_aaa_csubc_lifts: ∀RR,RS,RP.
   @(aacr_abst  … H1RP H2RP) [ /2 width=5 by/ ]
   #L3 #V3 #W3 #T3 #des3 #HL32 #HW03 #HT03 #H1B #H2B
   elim (ldrops_lsubc_trans … H1RP H2RP … HL32 … HL02) -L2 #L2 #HL32 #HL20
-  lapply (aaa_lifts … L2 W3 … (des @@ des3) … HLWB) -HLWB /2 width=3 by ldrops_trans, lifts_trans/ #HLW2B
-  @(IHA (L2. ⓛW3) … (des + 1 @@ des3 + 1)) -IHA /2 width=3/ /3 width=5 by lsubc_abbr, ldrops_trans, ldrops_skip/
+  lapply (aaa_lifts … L2 W3 … (des @@ des3) … HLWB) -HLWB /2 width=4 by ldrops_trans, lifts_trans/ #HLW2B
+  @(IHA (L2. ⓛW3) … (des + 1 @@ des3 + 1)) -IHA 
+  /3 width=5 by lsubc_abbr, ldrops_trans, ldrops_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 ldrops_nil, lifts_nil/