X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Ffpbq_fpb.ma;h=21143003b145dcf83da393acf52f7cc0678d9f86;hp=0f83111ac6b904230094235b7d5604854400a4b6;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma
index 0f83111ac..21143003b 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma
@@ -19,23 +19,23 @@ include "basic_2/rt_transition/fpbq.ma".
 
 (* Properties with proper parallel rst-transition for closures **************)
 
-lemma fpb_fpbq: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄ →
-                ⦃G1, L1, T1⦄ ≽[h] ⦃G2, L2, T2⦄.
+lemma fpb_fpbq: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ≻[h] ⦃G2,L2,T2⦄ →
+                ⦃G1,L1,T1⦄ ≽[h] ⦃G2,L2,T2⦄.
 #h #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
 /3 width=1 by fpbq_fquq, fpbq_cpx, fpbq_lpx, fqu_fquq/
 qed.
 
 (* Basic_2A1: fpb_fpbq_alt *)
-lemma fpb_fpbq_ffdneq: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄ →
-                       ∧∧ ⦃G1, L1, T1⦄ ≽[h] ⦃G2, L2, T2⦄ & (⦃G1, L1, T1⦄ ≛ ⦃G2, L2, T2⦄ → ⊥).
+lemma fpb_fpbq_ffdneq: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ≻[h] ⦃G2,L2,T2⦄ →
+                       ∧∧ ⦃G1,L1,T1⦄ ≽[h] ⦃G2,L2,T2⦄ & (⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T2⦄ → ⊥).
 /3 width=10 by fpb_fpbq, fpb_inv_fdeq, conj/ qed-.
 
 (* Inversrion lemmas with proper parallel rst-transition for closures *******)
 
 (* Basic_2A1: uses: fpbq_ind_alt *)
-lemma fpbq_inv_fpb: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≽[h] ⦃G2, L2, T2⦄ →
-                    ∨∨ ⦃G1, L1, T1⦄ ≛ ⦃G2, L2, T2⦄
-                     | ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄.
+lemma fpbq_inv_fpb: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ≽[h] ⦃G2,L2,T2⦄ →
+                    ∨∨ ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T2⦄
+                     | ⦃G1,L1,T1⦄ ≻[h] ⦃G2,L2,T2⦄.
 #h #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
 [ #G2 #L2 #T2 * [2: * #H1 #H2 #H3 destruct ]
   /3 width=1 by fpb_fqu, fdeq_intro_sn, or_intror, or_introl/
@@ -48,8 +48,8 @@ lemma fpbq_inv_fpb: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≽[h] ⦃G2, L2, T
 qed-.
 
 (* Basic_2A1: fpbq_inv_fpb_alt *)
-lemma fpbq_ffdneq_inv_fpb: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≽[h] ⦃G2, L2, T2⦄ →
-                           (⦃G1, L1, T1⦄ ≛ ⦃G2, L2, T2⦄ → ⊥) → ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄.
+lemma fpbq_ffdneq_inv_fpb: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ≽[h] ⦃G2,L2,T2⦄ →
+                           (⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T2⦄ → ⊥) → ⦃G1,L1,T1⦄ ≻[h] ⦃G2,L2,T2⦄.
 #h #G1 #G2 #L1 #L2 #T1 #T2 #H #H0
 elim (fpbq_inv_fpb … H) -H // #H elim H0 -H0 //
 qed-.