update in basic_2 and apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_simple.ma
index 71c9223b26c191f9f007fff928b42eacb62db8cb..bd1e11c003bccb3175c6d0f082dc3d988d42867c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_simple.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_simple.ma
@@ -20,7 +20,8 @@ include "basic_2/rt_transition/cnr.ma".
 (* Inversion lemmas with simple terms ***************************************)
 
 lemma cnr_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❫.
+      ∀V,T. ❪G,L❫ ⊢ ➡𝐍[h,0] ⓐV.T →
+      ∧∧ ❪G,L❫ ⊢ ➡𝐍[h,0] V & ❪G,L❫ ⊢ ➡𝐍[h,0] T & 𝐒❪T❫.
 #h #G #L #V1 #T1 #HVT1 @and3_intro
 [ #V2 #HV2 lapply (HVT1 (ⓐV2.T1) ?) -HVT1 /2 width=1 by cpr_pair_sn/ -HV2 #H destruct //
 | #T2 #HT2 lapply (HVT1 (ⓐV1.T2) ?) -HVT1 /2 width=1 by cpr_flat/ -HT2 #H destruct //
@@ -36,7 +37,7 @@ qed-.
 
 (* Basic_1: was only: nf2_appl_lref *)
 lemma cnr_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❫.
+      ∀V,T. ❪G,L❫ ⊢ ➡𝐍[h,0] V → ❪G,L❫ ⊢ ➡𝐍[h,0] T → 𝐒❪T❫ → ❪G,L❫ ⊢ ➡𝐍[h,0] ⓐV.T.
 #h #G #L #V #T #HV #HT #HS #X #H
 elim (cpm_inv_appl1_simple … H) -H // #V0 #T0 #HV0 #HT0 #H destruct
 <(HV … HV0) -V0 <(HT … HT0) -T0 //