- exclusion binder added in local environments

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / gcp_aaa.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/gcp_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/static/gcp_aaa.ma
index 53b415bdec84e89e31edebd6ec2008e7ff9ca1eb..21382ed90863122184cded762ef4adbbeb923a0f 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/gcp_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/gcp_aaa.ma
@@ -25,7 +25,7 @@ theorem acr_aaa_csubc_lifts: ∀RR,RS,RP.
                              ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A → ∀b,f,L0. ⬇*[b, f] L0 ≡ L1 →
                              ∀T0. ⬆*[f] T ≡ T0 → ∀L2. G ⊢ L2 ⫃[RP] L0 →
                              ⦃G, L2, T0⦄ ϵ[RP] 〚A〛.
-#RR #RS #RP #H1RP #H2RP #G #L1 #T @(fqup_wf_ind_eq … G L1 T) -G -L1 -T
+#RR #RS #RP #H1RP #H2RP #G #L1 #T @(fqup_wf_ind_eq (Ⓣ) … G L1 T) -G -L1 -T
 #Z #Y #X #IH #G #L1 * [ * | * [ #p ] * ]
 [ #s #HG #HL #HT #A #HA #b #f #L0 #HL01 #X0 #H0 #L2 #HL20 destruct -IH
   lapply (aaa_inv_sort … HA) -HA #H destruct
@@ -39,20 +39,21 @@ theorem acr_aaa_csubc_lifts: ∀RR,RS,RP.
   lapply (drops_trans … HL01 … HLK1 ??) -HL01 [3: |*: // ] #H
   elim (drops_split_trans … H) -H [ |*: /2 width=6 by after_uni_dx/ ] #Y #HLK0 #HY
   lapply (drops_tls_at … Hf … HY) -Hf -HY #HY
-  elim (drops_inv_skip2 … HY) -HY #K0 #V0 #HK01 #HV10 #H destruct
+  elim (drops_inv_skip2 … HY) -HY #Z #K0 #HK01 #HZ #H destruct
+  elim (liftsb_inv_pair_sn … HZ) -HZ #V0 #HV10 #H destruct
   elim (lifts_total V0 (𝐔❴⫯j❵)) #V #HV0
   elim (lsubc_drops_trans_isuni … HL20 … HLK0) -HL20 -HLK0 // #Y #HLK2 #H
-  elim (lsubc_inv_pair2 … H) -H *
+  elim (lsubc_inv_bind2 … H) -H *
   [ #K2 #HK20 #H destruct
     lapply (drops_isuni_fwd_drop2 … HLK2) // #HLK2b
     lapply (s5 … HA ? G ? ? (◊) … HV0 ?) -HA
     /4 width=11 by acr_lifts, fqup_lref, drops_inv_gen/
-  | #K2 #V2 #B #HKV2 #HK2V0 #HKV0B #_ #H1 #H2 destruct -IH -HLK1
+  | #K2 #V2 #W2 #B #HKV2 #HK2V0 #HKV0B #_ #H1 #H2 destruct -IH -HLK1
     lapply (drops_isuni_fwd_drop2 … HLK2) // #HLK2b
     lapply (aaa_lifts … HKV1 … HK01 … HV10) -HKV1 -HK01 -HV10 #HKV0A
     lapply (aaa_mono … HKV0B … HKV0A) #H destruct -HKV0B -HKV0A
     elim (lifts_total V2 (𝐔❴⫯j❵)) #V3 #HV23
-    lapply (s5 … HA … G … (◊) … (ⓝV0.V2) (ⓝV.V3) ????)
+    lapply (s5 … HA … G … (◊) … (ⓝW2.V2) (ⓝV.V3) ????)
     [3: |*: /2 width=9 by drops_inv_gen, lifts_flat/ ] -HLK2
     lapply (s7 … HA G L2 (◊)) -HA /3 width=7 by acr_lifts/
   ]
@@ -64,7 +65,7 @@ theorem acr_aaa_csubc_lifts: ∀RR,RS,RP.
   lapply (acr_gcr … H1RP H2RP A) #HA
   lapply (acr_gcr … H1RP H2RP B) #HB
   lapply (s1 … HB) -HB #HB
-  lapply (s6 … HA G L2 (◊) (◊)) /4 width=10 by lsubc_pair, liftsv_nil, drops_skip/
+  lapply (s6 … HA G L2 (◊) (◊)) /5 width=10 by lsubc_bind, liftsv_nil, drops_skip, ext2_pair/
 | #W #T #HG #HL #HT #Z0 #HA #b #f #L0 #HL01 #X0 #H0 #L2 #HL20 destruct
   elim (aaa_inv_abst … HA) -HA #B #A #HW #HT #H destruct
   elim (lifts_inv_bind1 … H0) -H0 #W0 #T0 #HW0 #HT0 #H destruct
@@ -74,7 +75,7 @@ theorem acr_aaa_csubc_lifts: ∀RR,RS,RP.
   lapply (aaa_lifts … HW … (f3∘f) L2 … W3 ?) -HW
   [4: |*: /2 width=8 by drops_trans, lifts_trans/ ] #HW3
   @(IH … ((↑f3)∘↑f) … (L2. ⓛW3)) -IH
-  /3 width=12 by lsubc_beta, drops_trans, drops_skip, lifts_trans/
+  /4 width=12 by lsubc_beta, drops_trans, drops_skip, lifts_trans, ext2_pair/
 | #V #T #HG #HL #HT #A #HA #b #f #L0 #HL01 #X0 #H0 #L2 #HL20 destruct
   elim (aaa_inv_appl … HA) -HA #B #HV #HT
   elim (lifts_inv_flat1 … H0) -H0 #V0 #T0 #HV0 #HT0 #H destruct