update in basic_2 and apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cpms_fpbg.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
index da18f9c4dde7807a9a96eda017ec4c413367f38a..b96b5fcc62452c9aa383b070bb169d569a052e94 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
@@ -21,28 +21,28 @@ include "basic_2/rt_computation/cpms_fpbs.ma".
 (* Forward lemmas with proper parallel rst-computation for closures *********)
 
 lemma cpms_tneqx_fwd_fpbg (h) (n):
-      ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ➡*[n,h] T2 →
+      ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ➡*[h,n] T2 →
       (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ >[h] ❪G,L,T2❫.
 /3 width=2 by cpms_fwd_cpxs, cpxs_tneqx_fpbg/ qed-.
 
 lemma fpbg_cpms_trans (h) (n):
       ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ >[h] ❪G2,L2,T❫ →
-      ∀T2. ❪G2,L2❫ ⊢ T ➡*[n,h] T2 → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫.
+      ∀T2. ❪G2,L2❫ ⊢ T ➡*[h,n] T2 → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫.
 /3 width=5 by fpbg_fpbs_trans, cpms_fwd_fpbs/ qed-.
 
 lemma cpms_fpbg_trans (h) (n):
-      ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ➡*[n,h] T →
+      ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ➡*[h,n] T →
       ∀G2,L2,T2. ❪G1,L1,T❫ >[h] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫.
 /3 width=5 by fpbs_fpbg_trans, cpms_fwd_fpbs/ qed-.
 
 lemma fqup_cpms_fwd_fpbg (h):
       ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T❫ →
-      ∀n,T2. ❪G2,L2❫ ⊢ T ➡*[n,h] T2 → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫.
+      ∀n,T2. ❪G2,L2❫ ⊢ T ➡*[h,n] T2 → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫.
 /3 width=5 by cpms_fwd_fpbs, fqup_fpbg, fpbg_fpbs_trans/ qed-.
 
 lemma cpm_tneqx_cpm_cpms_teqx_sym_fwd_fpbg (h) (G) (L) (T1):
-      ∀n1,T. ❪G,L❫ ⊢ T1 ➡[n1,h] T → (T1 ≛ T → ⊥) →
-      ∀n2,T2. ❪G,L❫⊢ T ➡*[n2,h] T2 → T1 ≛ T2 → ❪G,L,T1❫ >[h] ❪G,L,T1❫.
+      ∀n1,T. ❪G,L❫ ⊢ T1 ➡[h,n1] T → (T1 ≛ T → ⊥) →
+      ∀n2,T2. ❪G,L❫⊢ T ➡*[h,n2] T2 → T1 ≛ T2 → ❪G,L,T1❫ >[h] ❪G,L,T1❫.
 #h #G #L #T1 #n1 #T #H1T1 #H2T1 #n2 #T2 #H1T2 #H2T12
 /4 width=7 by cpms_fwd_fpbs, cpm_fpb, fpbs_teqx_trans, teqx_sym, ex2_3_intro/
 qed-.