universary milestone in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / cnr.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnr.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnr.ma
index 1a6ce5d319d6f2828c4005864c3b5fcbaac52ecf..1a307432d59574dd8c8172094a5b4762ca002fa0 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnr.ma
@@ -25,11 +25,11 @@ interpretation
 
 (* Basic inversion lemmas ***************************************************)
 
-lemma cnr_inv_delta: â\88\80G,L,K,V,i. â\87©[i] L ≡ K.ⓓV → ⦃G, L⦄ ⊢ ➡ 𝐍⦃#i⦄ → ⊥.
+lemma cnr_inv_delta: â\88\80G,L,K,V,i. â¬\87[i] L ≡ K.ⓓV → ⦃G, L⦄ ⊢ ➡ 𝐍⦃#i⦄ → ⊥.
 #G #L #K #V #i #HLK #H
 elim (lift_total V 0 (i+1)) #W #HVW
 lapply (H W ?) -H [ /3 width=6 by cpr_delta/ ] -HLK #H destruct
-elim (lift_inv_lref2_be … HVW) -HVW //
+elim (lift_inv_lref2_be … HVW) -HVW /2 width=1 by ylt_inj/
 qed-.
 
 lemma cnr_inv_abst: ∀a,G,L,V,T. ⦃G, L⦄ ⊢ ➡ 𝐍⦃ⓛ{a}V.T⦄ → ⦃G, L⦄ ⊢ ➡ 𝐍⦃V⦄ ∧ ⦃G, L.ⓛV⦄ ⊢ ➡ 𝐍⦃T⦄.
@@ -77,8 +77,8 @@ qed-.
 (* Basic properties *********************************************************)
 
 (* Basic_1: was: nf2_sort *)
-lemma cnr_sort: ∀G,L,k. ⦃G, L⦄ ⊢ ➡ 𝐍⦃⋆k⦄.
-#G #L #k #X #H
+lemma cnr_sort: ∀G,L,s. ⦃G, L⦄ ⊢ ➡ 𝐍⦃⋆s⦄.
+#G #L #s #X #H
 >(cpr_inv_sort1 … H) //
 qed.
 
@@ -89,7 +89,7 @@ lemma cnr_lref_free: ∀G,L,i. |L| ≤ i → ⦃G, L⦄ ⊢ ➡ 𝐍⦃#i⦄.
 qed.
 
 (* Basic_1: was only: nf2_csort_lref *)
-lemma cnr_lref_atom: â\88\80G,L,i. â\87©[i] L ≡ ⋆ → ⦃G, L⦄ ⊢ ➡ 𝐍⦃#i⦄.
+lemma cnr_lref_atom: â\88\80G,L,i. â¬\87[i] L ≡ ⋆ → ⦃G, L⦄ ⊢ ➡ 𝐍⦃#i⦄.
 #G #L #i #HL @cnr_lref_free >(drop_fwd_length … HL) -HL //
 qed.