- new component "s_transition" for the restored fqu and fquq

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / fpb_fleq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb_fleq.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb_fleq.ma
index 788a59364aeb737e6155319c9134bab98b4091f0..6463870f1ed851698c274e63aebd0c2129e861c6 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb_fleq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb_fleq.ma
@@ -19,19 +19,19 @@ include "basic_2/reduction/fpb_lleq.ma".
 
 (* Properties on lazy equivalence for closures ******************************)
 
-lemma fleq_fpb_trans: ∀h,g,F1,F2,K1,K2,T1,T2. ⦃F1, K1, T1⦄ ≡[0] ⦃F2, K2, T2⦄ →
-                      ∀G2,L2,U2. ⦃F2, K2, T2⦄ ≻[h, g] ⦃G2, L2, U2⦄ →
-                      ∃∃G1,L1,U1. ⦃F1, K1, T1⦄ ≻[h, g] ⦃G1, L1, U1⦄ & ⦃G1, L1, U1⦄ ≡[0] ⦃G2, L2, U2⦄.
-#h #g #F1 #F2 #K1 #K2 #T1 #T2 * -F2 -K2 -T2
+lemma fleq_fpb_trans: ∀h,o,F1,F2,K1,K2,T1,T2. ⦃F1, K1, T1⦄ ≡[0] ⦃F2, K2, T2⦄ →
+                      ∀G2,L2,U2. ⦃F2, K2, T2⦄ ≻[h, o] ⦃G2, L2, U2⦄ →
+                      ∃∃G1,L1,U1. ⦃F1, K1, T1⦄ ≻[h, o] ⦃G1, L1, U1⦄ & ⦃G1, L1, U1⦄ ≡[0] ⦃G2, L2, U2⦄.
+#h #o #F1 #F2 #K1 #K2 #T1 #T2 * -F2 -K2 -T2
 #K2 #HK12 #G2 #L2 #U2 #H12 elim (lleq_fpb_trans … HK12 … H12) -K2
 /3 width=5 by fleq_intro, ex2_3_intro/
 qed-.
 
 (* Inversion lemmas on lazy equivalence for closures ************************)
 
-lemma fpb_inv_fleq: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h, g] ⦃G2, L2, T2⦄ →
+lemma fpb_inv_fleq: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h, o] ⦃G2, L2, T2⦄ →
                     ⦃G1, L1, T1⦄ ≡[0] ⦃G2, L2, T2⦄ → ⊥.
-#h #g #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
+#h #o #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
 [ #G2 #L2 #T2 #H12 #H elim (fleq_inv_gen … H) -H
   /3 width=8 by lleq_fwd_length, fqu_inv_eq/
 | #T2 #_ #HnT #H elim (fleq_inv_gen … H) -H /2 width=1 by/