milestone in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / rdsx_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma
index ed5e990539c90b5739bb7660372dd4cc30d9438b..a27c2a71d0822d20d325d01465f8baa07dc1bedc 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma
@@ -23,8 +23,8 @@ include "basic_2/rt_computation/rdsx_fqup.ma".
 
 (* Note: this uses length *)
 (* Basic_2A1: uses: lsx_lift_le lsx_lift_ge *)
-lemma rdsx_lifts (h) (o) (G): d_liftable1_isuni … (λL,T. G ⊢ ⬈*[h, o, T] 𝐒⦃L⦄).
-#h #o #G #K #T #H @(rdsx_ind … H) -K
+lemma rdsx_lifts (h) (G): d_liftable1_isuni … (λL,T. G ⊢ ⬈*[h, T] 𝐒⦃L⦄).
+#h #G #K #T #H @(rdsx_ind … H) -K
 #K1 #_ #IH #b #f #L1 #HLK1 #Hf #U #HTU @rdsx_intro
 #L2 #HL12 #HnL12 elim (lpx_drops_conf … HLK1 … HL12) 
 /5 width=9 by rdeq_lifts_bi, lpx_fwd_length/
@@ -33,8 +33,8 @@ qed-.
 (* Inversion lemmas on relocation *******************************************)
 
 (* Basic_2A1: uses: lsx_inv_lift_le lsx_inv_lift_be lsx_inv_lift_ge *)
-lemma rdsx_inv_lifts (h) (o) (G): d_deliftable1_isuni … (λL,T. G ⊢ ⬈*[h, o, T] 𝐒⦃L⦄).
-#h #o #G #L #U #H @(rdsx_ind … H) -L
+lemma rdsx_inv_lifts (h) (G): d_deliftable1_isuni … (λL,T. G ⊢ ⬈*[h, T] 𝐒⦃L⦄).
+#h #G #L #U #H @(rdsx_ind … H) -L
 #L1 #_ #IH #b #f #K1 #HLK1 #Hf #T #HTU @rdsx_intro
 #K2 #HK12 #HnK12 elim (drops_lpx_trans … HLK1 … HK12) -HK12
 /4 width=10 by rdeq_inv_lifts_bi/
@@ -43,24 +43,24 @@ qed-.
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: uses: lsx_lref_free *)
-lemma rdsx_lref_atom (h) (o) (G): ∀L,i. ⬇*[Ⓕ, 𝐔❴i❵] L ≘ ⋆ → G ⊢ ⬈*[h, o, #i] 𝐒⦃L⦄.
-#h #o #G #L1 #i #HL1
+lemma rdsx_lref_atom (h) (G): ∀L,i. ⬇*[Ⓕ, 𝐔❴i❵] L ≘ ⋆ → G ⊢ ⬈*[h, #i] 𝐒⦃L⦄.
+#h #G #L1 #i #HL1
 @(rdsx_lifts … (#0) … HL1) -HL1 //
 qed.
 
 (* Basic_2A1: uses: lsx_lref_skip *)
-lemma rdsx_lref_unit (h) (o) (G): ∀I,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → G ⊢ ⬈*[h, o, #i] 𝐒⦃L⦄.
-#h #o #G #I #L1 #K1 #i #HL1
+lemma rdsx_lref_unit (h) (G): ∀I,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → G ⊢ ⬈*[h, #i] 𝐒⦃L⦄.
+#h #G #I #L1 #K1 #i #HL1
 @(rdsx_lifts … (#0) … HL1) -HL1 //
 qed.
 
 (* Advanced forward lemmas **************************************************)
 
 (* Basic_2A1: uses: lsx_fwd_lref_be *)
-lemma rdsx_fwd_lref_pair (h) (o) (G):
-                         ∀L,i. G ⊢ ⬈*[h, o, #i] 𝐒⦃L⦄ →
-                         ∀I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V → G ⊢ ⬈*[h, o, V] 𝐒⦃K⦄.
-#h #o #G #L #i #HL #I #K #V #HLK
+lemma rdsx_fwd_lref_pair (h) (G):
+                         ∀L,i. G ⊢ ⬈*[h, #i] 𝐒⦃L⦄ →
+                         ∀I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V → G ⊢ ⬈*[h, V] 𝐒⦃K⦄.
+#h #G #L #i #HL #I #K #V #HLK
 lapply (rdsx_inv_lifts … HL … HLK … (#0) ?) -L
 /2 width=2 by rdsx_fwd_pair/
 qed-.