Thanks to Guarrigue, code for Serializer functor simplified using

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / reducibility / ltpr_aaa.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/reducibility/ltpr_aaa.ma b/matita/matita/contribs/lambda_delta/basic_2/reducibility/ltpr_aaa.ma
index baf1abb09e9cc5236d4f2dfb434d20ca58b48461..91777310c5a774dae29264e45ee5fce8f02c11a3 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/reducibility/ltpr_aaa.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/reducibility/ltpr_aaa.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/static/aaa_ltps.ma".
+include "basic_2/static/aaa_ltpss.ma".
 include "basic_2/static/lsuba_aaa.ma".
 include "basic_2/reducibility/ltpr_ldrop.ma".
 
@@ -20,15 +20,15 @@ include "basic_2/reducibility/ltpr_ldrop.ma".
 
 (* Properties about atomic arity assignment on terms ************************)
 
-fact aaa_ltpr_tpr_conf_aux: ∀L,T,L1,T1,A. L1 ⊢ T1 ÷ A → L = L1 → T = T1 →
-                            ∀L2. L1 ➡ L2 → ∀T2. T1 ➡ T2 → L2 ⊢ T2 ÷ A.
+fact aaa_ltpr_tpr_conf_aux: ∀L,T,L1,T1,A. L1 ⊢ T1 ⁝ A → L = L1 → T = T1 →
+                            ∀L2. L1 ➡ L2 → ∀T2. T1 ➡ T2 → L2 ⊢ T2 ⁝ A.
 #L #T @(cw_wf_ind … L T) -L -T #L #T #IH
 #L1 #T1 #A * -L1 -T1 -A
 [ -IH #L1 #k #H1 #H2 #L2 #_ #T2 #H destruct
   >(tpr_inv_atom1 … H) -H //
 | #I #L1 #K1 #V1 #B #i #HLK1 #HK1 #H1 #H2 #L2 #HL12 #T2 #H destruct
   >(tpr_inv_atom1 … H) -T2
-  lapply (ldrop_pair2_fwd_fw … HLK1 (#i)) #HKV1
+  lapply (ldrop_pair2_fwd_cw … HLK1 (#i)) #HKV1
   elim (ltpr_ldrop_conf … HLK1 … HL12) -HLK1 -HL12 #X #HLK2 #H
   elim (ltpr_inv_pair1 … H) -H #K2 #V2 #HK12 #HV12 #H destruct
   lapply (IH … HKV1 … HK1 … HK12 … HV12) // -L1 -K1 -V1 /2 width=5/
@@ -77,12 +77,12 @@ fact aaa_ltpr_tpr_conf_aux: ∀L,T,L1,T1,A. L1 ⊢ T1 ÷ A → L = L1 → T = T1
 ]
 qed.
 
-lemma aaa_ltpr_tpr_conf: ∀L1,T1,A. L1 ⊢ T1 ÷ A → ∀L2. L1 ➡ L2 →
-                         ∀T2. T1 ➡ T2 → L2 ⊢ T2 ÷ A.
+lemma aaa_ltpr_tpr_conf: ∀L1,T1,A. L1 ⊢ T1 ⁝ A → ∀L2. L1 ➡ L2 →
+                         ∀T2. T1 ➡ T2 → L2 ⊢ T2 ⁝ A.
 /2 width=9/ qed.
 
-lemma aaa_ltpr_conf: ∀L1,T,A. L1 ⊢ T ÷ A → ∀L2. L1 ➡ L2 → L2 ⊢ T ÷ A.
+lemma aaa_ltpr_conf: ∀L1,T,A. L1 ⊢ T ⁝ A → ∀L2. L1 ➡ L2 → L2 ⊢ T ⁝ A.
 /2 width=5/ qed.
 
-lemma aaa_tpr_conf: ∀L,T1,A. L ⊢ T1 ÷ A → ∀T2. T1 ➡ T2 → L ⊢ T2 ÷ A.
+lemma aaa_tpr_conf: ∀L,T1,A. L ⊢ T1 ⁝ A → ∀T2. T1 ➡ T2 → L ⊢ T2 ⁝ A.
 /2 width=5/ qed.