update in ground_2 and basic_2 ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / cpxs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs.ma
index a3f8e8316f9f1e9849fea0b909e7897cbf42dfc9..8027a98db5d9fd55be50131b72e2b9a46bebf51e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs.ma
@@ -97,16 +97,16 @@ lemma cpxs_zeta: ∀h,g,G,L,V,T1,T,T2. ⇧[0, 1] T2 ≡ T →
 /3 width=3 by cpxs_strap2, cpx_cpxs, cpx_bind, cpx_zeta/
 qed.
 
-lemma cpxs_tau: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] T2 →
+lemma cpxs_eps: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] T2 →
                 ∀V. ⦃G, L⦄ ⊢ ⓝV.T1 ➡*[h, g] T2.
 #h #g #G #L #T1 #T2 #H @(cpxs_ind … H) -T2
-/3 width=3 by cpxs_strap1, cpx_cpxs, cpx_tau/
+/3 width=3 by cpxs_strap1, cpx_cpxs, cpx_eps/
 qed.
 
-lemma cpxs_ti: ∀h,g,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ➡*[h, g] V2 →
+lemma cpxs_ct: ∀h,g,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ➡*[h, g] V2 →
                ∀T. ⦃G, L⦄ ⊢ ⓝV1.T ➡*[h, g] V2.
 #h #g #G #L #V1 #V2 #H @(cpxs_ind … H) -V2
-/3 width=3 by cpxs_strap1, cpx_cpxs, cpx_ti/
+/3 width=3 by cpxs_strap1, cpx_cpxs, cpx_ct/
 qed.
 
 lemma cpxs_beta_dx: ∀h,g,a,G,L,V1,V2,W1,W2,T1,T2.
@@ -152,7 +152,7 @@ lapply (cpxs_strap1 … HW1 … HW2) -W
 lapply (cpxs_strap1 … HT1 … HT2) -T /3 width=5 by or3_intro0, ex3_2_intro/
 qed-.
 
-lemma cpxs_inv_cnx1: ∀h,g,G,L,T,U. ⦃G, L⦄ ⊢ T ➡*[h, g] U → ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄ → T = U.
+lemma cpxs_inv_cnx1: ∀h,g,G,L,T,U. ⦃G, L⦄ ⊢ T ➡*[h, g] U → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄ → T = U.
 #h #g #G #L #T #U #H @(cpxs_ind_dx … H) -T //
 #T0 #T #H1T0 #_ #IHT #H2T0
 lapply (H2T0 … H1T0) -H1T0 #H destruct /2 width=1 by/