update in basic_2 and apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_drops.ma
index 6a34bb6048e96b63c31eba12407d4dab4f4ca91a..0cbf720110f0ec0514fd3502c8a48c506bfbea0c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_drops.ma
@@ -21,7 +21,7 @@ include "basic_2/rt_transition/cnr.ma".
 
 (* Basic_1: was only: nf2_csort_lref *)
 lemma cnr_lref_atom (h) (b) (G) (L):
-      ∀i. ⇩*[b,𝐔❨i❩] L ≘ ⋆ → ❪G,L❫ ⊢ ➡[h] 𝐍❪#i❫.
+      ∀i. ⇩*[b,𝐔❨i❩] L ≘ ⋆ → ❪G,L❫ ⊢ ➡𝐍[h,0] #i.
 #h #b #G #L #i #Hi #X #H
 elim (cpr_inv_lref1_drops … H) -H // * #K #V1 #V2 #HLK
 lapply (drops_gen b … HLK) -HLK #HLK
@@ -30,7 +30,7 @@ qed.
 
 (* Basic_1: was: nf2_lref_abst *)
 lemma cnr_lref_abst (h) (G) (L):
-      ∀K,V,i. ⇩[i] L ≘ K.ⓛV → ❪G,L❫ ⊢ ➡[h] 𝐍❪#i❫.
+      ∀K,V,i. ⇩[i] L ≘ K.ⓛV → ❪G,L❫ ⊢ ➡𝐍[h,0] #i.
 #h #G #L #K #V #i #HLK #X #H
 elim (cpr_inv_lref1_drops … H) -H // *
 #K0 #V1 #V2 #HLK0 #_ #_
@@ -38,7 +38,7 @@ lapply (drops_mono … HLK … HLK0) -L #H destruct
 qed.
 
 lemma cnr_lref_unit (h) (I) (G) (L):
-      ∀K,i. ⇩[i] L ≘ K.ⓤ[I] → ❪G,L❫ ⊢ ➡[h] 𝐍❪#i❫.
+      ∀K,i. ⇩[i] L ≘ K.ⓤ[I] → ❪G,L❫ ⊢ ➡𝐍[h,0] #i.
 #h #I #G #L #K #i #HLK #X #H
 elim (cpr_inv_lref1_drops … H) -H // *
 #K0 #V1 #V2 #HLK0 #_ #_
@@ -49,7 +49,7 @@ qed.
 
 (* Basic_1: was: nf2_lift *)
 (* Basic_2A1: uses: cnr_lift *)
-lemma cnr_lifts (h) (G): d_liftable1 … (cnr h G).
+lemma cnr_lifts (h) (G): d_liftable1 … (cnr h 0 G).
 #h #G #K #T #HT #b #f #L #HLK #U #HTU #U0 #H
 elim (cpm_inv_lifts_sn … H … HLK … HTU) -b -L #T0 #HTU0 #HT0
 lapply (HT … HT0) -G -K #H destruct /2 width=4 by lifts_mono/
@@ -59,7 +59,7 @@ qed-.
 
 (* Basic_2A1: was: cnr_inv_delta *)
 lemma cnr_inv_lref_abbr (h) (G) (L):
-      ∀K,V,i. ⇩[i] L ≘ K.ⓓV → ❪G,L❫ ⊢ ➡[h] 𝐍❪#i❫ → ⊥.
+      ∀K,V,i. ⇩[i] L ≘ K.ⓓV → ❪G,L❫ ⊢ ➡𝐍[h,0] #i → ⊥.
 #h #G #L #K #V #i #HLK #H
 elim (lifts_total V 𝐔❨↑i❩) #W #HVW
 lapply (H W ?) -H [ /3 width=6 by cpm_delta_drops/ ] -HLK #H destruct
@@ -70,7 +70,7 @@ qed-.
 
 (* Note: this was missing in Basic_1 *)
 (* Basic_2A1: uses: cnr_inv_lift *)
-lemma cnr_inv_lifts (h) (G): d_deliftable1 … (cnr h G).
+lemma cnr_inv_lifts (h) (G): d_deliftable1 … (cnr h 0 G).
 #h #G #L #U #HU #b #f #K #HLK #T #HTU #T0 #H
 elim (cpm_lifts_sn … H … HLK … HTU) -b -K #U0 #HTU0 #HU0
 lapply (HU … HU0) -G -L #H destruct /2 width=4 by lifts_inj/