- ldrop is now drop as in basic_1

[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 7a232f0fa117125552539d1962951d6af162d721..0c8ed725ba6e5265d69ca0938ad3706e1e0c5ec7 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/acp_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/acp_aaa.ma
@@ -13,10 +13,10 @@
 (**************************************************************************)
 
 include "basic_2/multiple/lifts_lifts.ma".
-include "basic_2/multiple/ldrops_ldrops.ma".
+include "basic_2/multiple/drops_drops.ma".
 include "basic_2/static/aaa_lifts.ma".
 include "basic_2/static/aaa_aaa.ma".
-include "basic_2/computation/lsubc_ldrops.ma".
+include "basic_2/computation/lsubc_drops.ma".
 
 (* ABSTRACT COMPUTATION PROPERTIES ******************************************)
 
@@ -36,19 +36,19 @@ 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_drop2 … HLK1) #HK1b
-  elim (ldrops_ldrop_trans … HL01 … HLK1) #X #des1 #i0 #HL0 #H #Hi0 #Hdes1
+  lapply (drop_fwd_drop2 … HLK1) #HK1b
+  elim (drops_drop_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
-  elim (lsubc_ldrop_O1_trans … HL20 … HL0) -HL0 #X #HLK2 #H
+  elim (drops_inv_skip2 … Hdes1 … H) -des1 #K0 #V0 #des0 #Hdes0 #HK01 #HV10 #H destruct
+  elim (lsubc_drop_O1_trans … HL20 … HL0) -HL0 #X #HLK2 #H
   elim (lsubc_inv_pair2 … H) -H *
   [ #K2 #HK20 #H destruct
     elim (lift_total V0 0 (i0 +1)) #V #HV0
     elim (lifts_lift_trans  … Hi0 … Hdes0 … HV10 … HV0) -HV10 #V2 #HV12 #HV2
-    @(s5 … HB … (◊) … HV0 HLK2) /3 width=7 by ldrops_cons, lifts_cons/ (* Note: uses IHB HL20 V2 HV0 *)
+    @(s5 … HB … (◊) … HV0 HLK2) /3 width=7 by drops_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_drop2 … HLK2) #HLK2b
+    lapply (drop_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
@@ -61,18 +61,18 @@ theorem aacr_aaa_csubc_lifts: ∀RR,RS,RP.
   lapply (aacr_acr … H1RP H2RP A) #HA
   lapply (aacr_acr … H1RP H2RP B) #HB
   lapply (s1 … HB) -HB #HB
-  @(s6 … HA … (◊) (◊)) /3 width=5 by lsubc_pair, ldrops_skip, liftv_nil/
+  @(s6 … HA … (◊) (◊)) /3 width=5 by lsubc_pair, drops_skip, liftv_nil/
 | #a #G #L #W #T #B #A #HLWB #_ #IHB #IHA #L0 #des #HL0 #X #H #L2 #HL02
   elim (lifts_inv_bind1 … H) -H #W0 #T0 #HW0 #HT0 #H destruct
   @(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=4 by ldrops_trans, lifts_trans/ #HLW2B
+  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, ldrops_trans, ldrops_skip, lifts_trans/
+  /3 width=5 by lsubc_abbr, 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 ldrops_nil, lifts_nil/
+  /3 width=10 by drops_nil, lifts_nil/
 | #G #L #V #T #A #_ #_ #IH1A #IH2A #L0 #des #HL0 #X #H #L2 #HL20
   elim (lifts_inv_flat1 … H) -H #V0 #T0 #HV0 #HT0 #H destruct
   lapply (aacr_acr … H1RP H2RP A) #HA
@@ -83,7 +83,7 @@ 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) →
                 ∀G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ⦃G, L, T⦄ ϵ[RP] 〚A〛.
-/2 width=8 by ldrops_nil, lifts_nil, aacr_aaa_csubc_lifts/ qed.
+/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) →
                ∀G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → RP G L T.