]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma
milestone update in basic_2, update in ground and static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / fpbg_fqup.ma
index 029c086d30775c1e08a94e451f6c6fcbb4f0074d..71451e88698309a1a512ffe9b23f0476d49d7b0f 100644 (file)
@@ -19,14 +19,16 @@ include "basic_2/rt_computation/fpbg.ma".
 
 (* Advanced properties with sort-irrelevant equivalence for terms ***********)
 
-lemma fpbg_teqx_div: ∀h,G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ >[h] ❪G2,L2,T❫ →
-                     ∀T2. T2 ≛ T → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫.
+lemma fpbg_teqx_div:
+      ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ > ❪G2,L2,T❫ →
+      ∀T2. T2 ≛ T → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
 /4 width=5 by fpbg_feqx_trans, teqx_feqx, teqx_sym/ qed-.
 
 (* Properties with plus-iterated structural successor for closures **********)
 
 (* Note: this is used in the closure proof *)
-lemma fqup_fpbg: ∀h,G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫.
-#h #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqup_inv_step_sn … H) -H
+lemma fqup_fpbg:
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
+#G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqup_inv_step_sn … H) -H
 /3 width=5 by fqus_fpbs, fpb_fqu, ex2_3_intro/
 qed.