]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_drops.ma
update in ground_2, static_2, basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_drops.ma
index 6ad56889f432b552f84bdbcd53517a15dac0e3c1..2a97fa4b4ac0bd32e80ada65f7b4cd22bd5b41ef 100644 (file)
@@ -22,8 +22,8 @@ include "basic_2/rt_transition/cpx.ma".
 
 (* Basic_2A1: was: cpx_delta *)
 lemma cpx_delta_drops: ∀h,I,G,L,K,V,V2,W2,i.
-                       ⇩*[i] L ≘ K.ⓑ[I]V → ❪G,K❫ ⊢ V ⬈[h] V2 →
-                       ⇧*[↑i] V2 ≘ W2 → ❪G,L❫ ⊢ #i ⬈[h] W2.
+                       ⇩[i] L ≘ K.ⓑ[I]V → ❪G,K❫ ⊢ V ⬈[h] V2 →
+                       ⇧[↑i] V2 ≘ W2 → ❪G,L❫ ⊢ #i ⬈[h] W2.
 #h * #G #L #K #V #V2 #W2 #i #HLK *
 /3 width=7 by cpg_ell_drops, cpg_delta_drops, ex_intro/
 qed.
@@ -34,8 +34,8 @@ qed.
 lemma cpx_inv_atom1_drops: ∀h,I,G,L,T2. ❪G,L❫ ⊢ ⓪[I] ⬈[h] T2 →
                            ∨∨ T2 = ⓪[I]
                             | ∃∃s. T2 = ⋆(⫯[h]s) & I = Sort s
-                            | ∃∃J,K,V,V2,i. ⇩*[i] L ≘ K.ⓑ[J]V & ❪G,K❫ ⊢ V ⬈[h] V2 &
-                                            ⇧*[↑i] V2 ≘ T2 & I = LRef i.
+                            | ∃∃J,K,V,V2,i. ⇩[i] L ≘ K.ⓑ[J]V & ❪G,K❫ ⊢ V ⬈[h] V2 &
+                                            ⇧[↑i] V2 ≘ T2 & I = LRef i.
 #h #I #G #L #T2 * #c #H elim (cpg_inv_atom1_drops … H) -H *
 /4 width=9 by or3_intro0, or3_intro1, or3_intro2, ex4_5_intro, ex2_intro, ex_intro/
 qed-.
@@ -43,8 +43,8 @@ qed-.
 (* Basic_2A1: was: cpx_inv_lref1 *)
 lemma cpx_inv_lref1_drops: ∀h,G,L,T2,i. ❪G,L❫ ⊢ #i ⬈[h] T2 →
                            T2 = #i ∨
-                           ∃∃J,K,V,V2. ⇩*[i] L ≘ K. ⓑ[J]V & ❪G,K❫ ⊢ V ⬈[h] V2 &
-                                       ⇧*[↑i] V2 ≘ T2.
+                           ∃∃J,K,V,V2. ⇩[i] L ≘ K. ⓑ[J]V & ❪G,K❫ ⊢ V ⬈[h] V2 &
+                                       ⇧[↑i] V2 ≘ T2.
 #h #G #L #T1 #i * #c #H elim (cpg_inv_lref1_drops … H) -H *
 /4 width=7 by ex3_4_intro, ex_intro, or_introl, or_intror/
 qed-.