update in ground_2 and basic_2 (partial commit)

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs.ma
index 507f4d9794f0af0b2bdcd3b7ec4f6e87adffb83a..0e1bee1d18596e46972fc66de316804e2b2df144 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs.ma
@@ -16,13 +16,13 @@ include "basic_2/notation/relations/predtysnstar_5.ma".
 include "basic_2/i_static/tc_lfxs.ma".
 include "basic_2/rt_transition/lfpx.ma".
 
-(* UNCOUNTED PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ****)
+(* UNBOUND PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ******)
 
 definition lfpxs: ∀h. relation4 genv term lenv lenv ≝
                   λh,G. tc_lfxs (cpx h G).
 
 interpretation
-   "uncounted parallel rt-computation on referred entries (local environment)"
+   "unbound parallel rt-computation on referred entries (local environment)"
    'PRedTySnStar h T G L1 L2 = (lfpxs h G T L1 L2).
 
 (* Basic properties *********************************************************)
@@ -31,11 +31,9 @@ interpretation
 lemma lfpx_lfpxs: ∀h,G,T,L1,L2. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
 /2 width=1 by inj/ qed.
 
-(* Basic_2A1: was just: lpxs_strap1 *)
 lemma lfpxs_step_dx: ∀h,G,T,L1,L,L2. ⦃G, L1⦄ ⊢ ⬈*[h, T] L → ⦃G, L⦄ ⊢ ⬈[h, T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
 /2 width=3 by tc_lfxs_step_dx/ qed.
 
-(* Basic_2A1: was just: lpxs_strap2 *)
 lemma lfpxs_step_sn: ∀h,G,T,L1,L,L2. ⦃G, L1⦄ ⊢ ⬈[h, T] L → ⦃G, L⦄ ⊢ ⬈*[h, T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
 /2 width=3 by tc_lfxs_step_sn/ qed.
 
@@ -54,5 +52,5 @@ lemma lfpxs_inv_atom2: ∀h,I,G,L1. ⦃G, L1⦄ ⊢ ⬈*[h, ⓪{I}] ⋆ → L1 =
 lemma lfpxs_fwd_pair_sn: ∀h,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈*[h, ②{I}V.T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, V] L2.
 /2 width=3 by tc_lfxs_fwd_pair_sn/ qed-.
 
-lemma lfpxs_flat_dx: ∀h,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈*[h, ⓕ{I}V.T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
+lemma lfpxs_fwd_flat_dx: ∀h,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈*[h, ⓕ{I}V.T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
 /2 width=3 by tc_lfxs_fwd_flat_dx/ qed-.