notational change for lexs

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lfpx_frees.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_frees.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_frees.ma
index 250760ca73c42e83ab6ff87be3e3fc978848bd32..d949c0a197968c3bdff6ac9977cba478e08320e8 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_frees.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_frees.ma
@@ -22,14 +22,9 @@ include "basic_2/rt_transition/cpx_drops.ma".
 
 (* Properties with context-sensitive free variables *************************)
 
-axiom frees_pair_flat: ∀L,T,f1,I1,V1. L.ⓑ{I1}V1 ⊢ 𝐅*⦃T⦄ ≡ f1 →
-                       ∀f2,I2,V2. L.ⓑ{I2}V2 ⊢ 𝐅*⦃T⦄ ≡ f2 →
-                       ∀f0. f1 ⋓ f2 ≡ f0 →
-                       ∀I0,I. L.ⓑ{I0}ⓕ{I}V1.V2 ⊢ 𝐅*⦃T⦄ ≡ f0.
-
-(* Basic_2A1: was: lpx_cpx_frees_trans *)
+(* Basic_2A1: uses: lpx_cpx_frees_trans *)
 lemma cpx_frees_conf_lfpx: ∀h,G,L1,T1,f1. L1 ⊢ 𝐅*⦃T1⦄ ≡ f1 →
-                           â\88\80L2. L1 ⦻*[cpx h G, cfull, f1] L2 →
+                           â\88\80L2. L1 ⪤*[cpx h G, cfull, f1] L2 →
                            ∀T2. ⦃G, L1⦄ ⊢ T1 ⬈[h] T2 →
                            ∃∃f2. L2 ⊢ 𝐅*⦃T2⦄ ≡ f2 & f2 ⊆ f1.
 #h #G #L1 #T1 @(fqup_wf_ind_eq … G L1 T1) -G -L1 -T1
@@ -152,10 +147,10 @@ lemma cpx_frees_conf_lfpx: ∀h,G,L1,T1,f1. L1 ⊢ 𝐅*⦃T1⦄ ≡ f1 →
 ]
 qed-.
 
-(* Basic_2A1: was: cpx_frees_trans *)
+(* Basic_2A1: uses: cpx_frees_trans *)
 lemma cpx_frees_conf: ∀h,G. R_frees_confluent (cpx h G).
 /3 width=7 by cpx_frees_conf_lfpx, lexs_refl/ qed-.
 
-(* Basic_2A1: was: lpx_frees_trans *)
+(* Basic_2A1: uses: lpx_frees_trans *)
 lemma lfpx_frees_conf: ∀h,G. lexs_frees_confluent (cpx h G) cfull.
 /2 width=7 by cpx_frees_conf_lfpx/ qed-.