X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbg_fpbs.ma;h=1eb2d110b1259982fba99fad882b89410b58f40e;hp=57f4a81afb9a52a32487bdf0a17c9861f86ba960;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fpbs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fpbs.ma
index 57f4a81af..1eb2d110b 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fpbs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fpbs.ma
@@ -22,7 +22,7 @@ include "basic_2/rt_computation/fpbg.ma".
 (* Advanced forward lemmas **************************************************)
 
 lemma fpbg_fwd_fpbs: ∀h,G1,G2,L1,L2,T1,T2.
-                     ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h] ⦃G2, L2, T2⦄.
+                     ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
 #h #G1 #G2 #L1 #L2 #T1 #T2 *
 /3 width=5 by fpbs_strap2, fpb_fpbq/
 qed-.
@@ -30,8 +30,8 @@ qed-.
 (* Advanced properties with sort-irrelevant equivalence on closures *********)
 
 (* Basic_2A1: uses: fleq_fpbg_trans *)
-lemma fdeq_fpbg_trans: ∀h,G,G2,L,L2,T,T2. ⦃G, L, T⦄ >[h] ⦃G2, L2, T2⦄ →
-                       ∀G1,L1,T1. ⦃G1, L1, T1⦄ ≛ ⦃G, L, T⦄ → ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄.
+lemma fdeq_fpbg_trans: ∀h,G,G2,L,L2,T,T2. ⦃G,L,T⦄ >[h] ⦃G2,L2,T2⦄ →
+                       ∀G1,L1,T1. ⦃G1,L1,T1⦄ ≛ ⦃G,L,T⦄ → ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄.
 #h #G #G2 #L #L2 #T #T2 * #G0 #L0 #T0 #H0 #H02 #G1 #L1 #T1 #H1
 elim (fdeq_fpb_trans …  H1 … H0) -G -L -T
 /4 width=9 by fpbs_strap2, fpbq_fdeq, ex2_3_intro/
@@ -40,15 +40,15 @@ qed-.
 (* Properties with parallel proper rst-reduction on closures ****************)
 
 lemma fpb_fpbg_trans: ∀h,G1,G,G2,L1,L,L2,T1,T,T2.
-                      ⦃G1, L1, T1⦄ ≻[h] ⦃G, L, T⦄ → ⦃G, L, T⦄ >[h] ⦃G2, L2, T2⦄ →
-                      ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄.
+                      ⦃G1,L1,T1⦄ ≻[h] ⦃G,L,T⦄ → ⦃G,L,T⦄ >[h] ⦃G2,L2,T2⦄ →
+                      ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄.
 /3 width=5 by fpbg_fwd_fpbs, ex2_3_intro/ qed-.
 
 (* Properties with parallel rst-reduction on closures ***********************)
 
 lemma fpbq_fpbg_trans: ∀h,G1,G,G2,L1,L,L2,T1,T,T2.
-                       ⦃G1, L1, T1⦄ ≽[h] ⦃G, L, T⦄ → ⦃G, L, T⦄ >[h] ⦃G2, L2, T2⦄ →
-                       ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄.
+                       ⦃G1,L1,T1⦄ ≽[h] ⦃G,L,T⦄ → ⦃G,L,T⦄ >[h] ⦃G2,L2,T2⦄ →
+                       ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄.
 #h #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H2
 elim (fpbq_inv_fpb … H1) -H1
 /2 width=5 by fdeq_fpbg_trans, fpb_fpbg_trans/
@@ -56,8 +56,8 @@ qed-.
 
 (* Properties with parallel rst-compuutation on closures ********************)
 
-lemma fpbs_fpbg_trans: ∀h,G1,G,L1,L,T1,T. ⦃G1, L1, T1⦄ ≥[h] ⦃G, L, T⦄ →
-                       ∀G2,L2,T2. ⦃G, L, T⦄ >[h] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄.
+lemma fpbs_fpbg_trans: ∀h,G1,G,L1,L,T1,T. ⦃G1,L1,T1⦄ ≥[h] ⦃G,L,T⦄ →
+                       ∀G2,L2,T2. ⦃G,L,T⦄ >[h] ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄.
 #h #G1 #G #L1 #L #T1 #T #H @(fpbs_ind … H) -G -L -T /3 width=5 by fpbq_fpbg_trans/
 qed-.
 
@@ -71,9 +71,9 @@ lemma fqup_fpbg_trans (h):
 (* Advanced inversion lemmas of parallel rst-computation on closures ********)
 
 (* Basic_2A1: was: fpbs_fpbg *)
-lemma fpbs_inv_fpbg: ∀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 fpbs_inv_fpbg: ∀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 @(fpbs_ind … H) -G2 -L2 -T2
 [ /2 width=1 by or_introl/
 | #G #G2 #L #L2 #T #T2 #_ #H2 * #H1
@@ -89,9 +89,9 @@ qed-.
 
 (* Advanced properties of parallel rst-computation on closures **************)
 
-lemma fpbs_fpb_trans: ∀h,F1,F2,K1,K2,T1,T2. ⦃F1, K1, T1⦄ ≥[h] ⦃F2, K2, T2⦄ →
-                      ∀G2,L2,U2. ⦃F2, K2, T2⦄ ≻[h] ⦃G2, L2, U2⦄ →
-                      ∃∃G1,L1,U1. ⦃F1, K1, T1⦄ ≻[h] ⦃G1, L1, U1⦄ & ⦃G1, L1, U1⦄ ≥[h] ⦃G2, L2, U2⦄.
+lemma fpbs_fpb_trans: ∀h,F1,F2,K1,K2,T1,T2. ⦃F1,K1,T1⦄ ≥[h] ⦃F2,K2,T2⦄ →
+                      ∀G2,L2,U2. ⦃F2,K2,T2⦄ ≻[h] ⦃G2,L2,U2⦄ →
+                      ∃∃G1,L1,U1. ⦃F1,K1,T1⦄ ≻[h] ⦃G1,L1,U1⦄ & ⦃G1,L1,U1⦄ ≥[h] ⦃G2,L2,U2⦄.
 #h #F1 #F2 #K1 #K2 #T1 #T2 #H elim (fpbs_inv_fpbg … H) -H
 [ #H12 #G2 #L2 #U2 #H2 elim (fdeq_fpb_trans … H12 … H2) -F2 -K2 -T2
   /3 width=5 by fdeq_fpbs, ex2_3_intro/