milestone in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma
index 2e593f991b8040673256f39b789216ecec5174ee..3b396d94e73285af53cc0e19f2dc1accac389d4d 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma
@@ -20,19 +20,19 @@ include "basic_2/rt_transition/cnx.ma".
 
 (* Properties with generic slicing ******************************************)
 
-lemma cnx_lref_atom: ∀h,o,G,L,i. ⬇*[i] L ≘ ⋆ → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄.
-#h #o #G #L #i #Hi #X #H elim (cpx_inv_lref1_drops … H) -H // *
+lemma cnx_lref_atom: ∀h,G,L,i. ⬇*[i] L ≘ ⋆ → ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃#i⦄.
+#h #G #L #i #Hi #X #H elim (cpx_inv_lref1_drops … H) -H // *
 #I #K #V1 #V2 #HLK lapply (drops_mono … Hi … HLK) -L #H destruct
 qed.
 
-lemma cnx_lref_unit: ∀h,o,I,G,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄.
-#h #o #I #G #L #K #i #HLK #X #H elim (cpx_inv_lref1_drops … H) -H // *
+lemma cnx_lref_unit: ∀h,I,G,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃#i⦄.
+#h #I #G #L #K #i #HLK #X #H elim (cpx_inv_lref1_drops … H) -H // *
 #Z #Y #V1 #V2 #HLY lapply (drops_mono … HLK … HLY) -L #H destruct
 qed.
 
 (* Basic_2A1: includes: cnx_lift *)
-lemma cnx_lifts: ∀h,o,G. d_liftable1 … (cnx h o G).
-#h #o #G #K #T #HT #b #f #L #HLK #U #HTU #U0 #H
+lemma cnx_lifts: ∀h,G. d_liftable1 … (cnx h G).
+#h #G #K #T #HT #b #f #L #HLK #U #HTU #U0 #H
 elim (cpx_inv_lifts_sn … H … HLK … HTU) -b -L #T0 #HTU0 #HT0
 lapply (HT … HT0) -G -K /2 width=6 by tdeq_lifts_bi/
 qed-.
@@ -40,8 +40,8 @@ qed-.
 (* Inversion lemmas with generic slicing ************************************)
 
 (* Basic_2A1: was: cnx_inv_delta *)
-lemma cnx_inv_lref_pair: ∀h,o,I,G,L,K,V,i. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄ → ⊥.
-#h #o #I #G #L #K #V #i #HLK #H
+lemma cnx_inv_lref_pair: ∀h,I,G,L,K,V,i. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃#i⦄ → ⊥.
+#h #I #G #L #K #V #i #HLK #H
 elim (lifts_total V (𝐔❴↑i❵)) #W #HVW
 lapply (H W ?) -H /2 width=7 by cpx_delta_drops/ -HLK
 #H lapply (tdeq_inv_lref1 … H) -H #H destruct
@@ -49,8 +49,8 @@ lapply (H W ?) -H /2 width=7 by cpx_delta_drops/ -HLK
 qed-.
 
 (* Basic_2A1: includes: cnx_inv_lift *)
-lemma cnx_inv_lifts: ∀h,o,G. d_deliftable1 … (cnx h o G).
-#h #o #G #L #U #HU #b #f #K #HLK #T #HTU #T0 #H
+lemma cnx_inv_lifts: ∀h,G. d_deliftable1 … (cnx h G).
+#h #G #L #U #HU #b #f #K #HLK #T #HTU #T0 #H
 elim (cpx_lifts_sn … H … HLK … HTU) -b -K #U0 #HTU0 #HU0
 lapply (HU … HU0) -G -L /2 width=6 by tdeq_inv_lifts_bi/
 qed-.