update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma
index ad4afa831fd589172358a1ddc3802f58326672b8..dfee9d0e0ea167378f31b4a976c2d4d8bfe2fedb 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma
@@ -19,8 +19,8 @@ include "basic_2/rt_transition/cnx.ma".
 
 (* Inversion lemmas with simple terms ***************************************)
 
-lemma cnx_inv_appl: ∀h,G,L,V,T. ❪G,L❫ ⊢ ⬈[h] 𝐍❪ⓐV.T❫ →
-                    ∧∧ ❪G,L❫ ⊢ ⬈[h] 𝐍❪V❫ & ❪G,L❫ ⊢ ⬈[h] 𝐍❪T❫ & 𝐒❪T❫.
+lemma cnx_inv_appl: ∀h,G,L,V,T. ❪G,L❫ ⊢ ⬈𝐍[h] ⓐV.T →
+                    ∧∧ ❪G,L❫ ⊢ ⬈𝐍[h] V & ❪G,L❫ ⊢ ⬈𝐍[h] T & 𝐒❪T❫.
 #h #G #L #V1 #T1 #HVT1 @and3_intro
 [ #V2 #HV2 lapply (HVT1 (ⓐV2.T1) ?) -HVT1 /2 width=1 by cpx_pair_sn/ -HV2
   #H elim (teqx_inv_pair … H) -H //
@@ -39,8 +39,8 @@ qed-.
 
 (* Properties with simple terms *********************************************)
 
-lemma cnx_appl_simple: ∀h,G,L,V,T. ❪G,L❫ ⊢ ⬈[h] 𝐍❪V❫ → ❪G,L❫ ⊢ ⬈[h] 𝐍❪T❫ → 𝐒❪T❫ →
-                       ❪G,L❫ ⊢ ⬈[h] 𝐍❪ⓐV.T❫.
+lemma cnx_appl_simple: ∀h,G,L,V,T. ❪G,L❫ ⊢ ⬈𝐍[h] V → ❪G,L❫ ⊢ ⬈𝐍[h] T → 𝐒❪T❫ →
+                       ❪G,L❫ ⊢ ⬈𝐍[h] ⓐV.T.
 #h #G #L #V #T #HV #HT #HS #X #H elim (cpx_inv_appl1_simple … H) -H //
 #V0 #T0 #HV0 #HT0 #H destruct
 @teqx_pair [ @HV | @HT ] // (**) (* auto fails because δ-expansion gets in the way *)