partial commit: just the components before "static" ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / cpx_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lift.ma
index 01ee35766145d83b048f82173241afb8426ed6e7..40f6e1e97b84894af4511dedc6e2001e72524515 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lift.ma
@@ -58,7 +58,7 @@ lemma cpx_lift: ∀h,g. l_liftable (cpx h g).
   elim (lift_inv_bind1 … HX) -HX #W0 #T0 #HW0 #HT10 #HX destruct
   elim (lift_inv_bind1 … HX2) -HX2 #W3 #X #HW23 #HX #HX2 destruct
   elim (lift_inv_flat1 … HX) -HX #V3 #T3 #HV3 #HT23 #HX destruct
-  elim (lift_trans_ge … HV2 … HV3 ?) -V2 // /4 width=5/
+  elim (lift_trans_ge … HV2 … HV3) -V2 // /4 width=5/
 ]
 qed.
 
@@ -112,7 +112,7 @@ lemma cpx_inv_lift1: ∀h,g. l_deliftable_sn (cpx h g).
   elim (IHV1 … HLK … HV01) -V1 #V3 #HV3 #HV03
   elim (IHT12 (K.ⓓW0) … HT01) -T1 /2 width=1/ #T3 #HT32 #HT03
   elim (IHW12 … HLK … HW01) -W1 #W3 #HW32 #HW03
-  elim (lift_trans_le … HV3 … HV2 ?) -V // #V #HV3 #HV2
+  elim (lift_trans_le … HV3 … HV2) -V // #V #HV3 #HV2
   @ex2_intro [2: /3 width=2/ | skip |3: /2 width=3/ ] (**) (* /4 width=5/ is slow *)
 ]
 qed-.
@@ -120,8 +120,8 @@ qed-.
 (* Properties on supclosure *************************************************)
 
 lemma fsupq_cpx_trans: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃⸮ ⦃L2, T2⦄ →
-                       ∀U2. ⦃h, L2⦄ ⊢ T2 ➡[g] U2 →
-                       ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄.
+                       ∀U2. ⦃h, L2⦄ ⊢ T2 ➡[h, g] U2 →
+                       ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[h, g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄.
 #h #g #L1 #L2 #T1 #T2 #H elim H -L1 -L2 -T1 -T2 [1: /2 width=3/ |3,4,5: /3 width=3/ ]
 [ #I #L1 #V2 #U2 #HVU2
   elim (lift_total U2 0 1) /4 width=9/
@@ -133,16 +133,16 @@ lemma fsupq_cpx_trans: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃⸮ ⦃L2, T2⦄ →
 qed-.
 
 lemma fsupq_ssta_trans: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃⸮ ⦃L2, T2⦄ →
-                        ∀U2,l. ⦃h, L2⦄ ⊢ T2 •[g] ⦃l+1, U2⦄ →
-                        ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄.
+                        ∀U2,l. ⦃h, L2⦄ ⊢ T2 •[h, g] ⦃l+1, U2⦄ →
+                        ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[h, g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄.
 /3 width=4 by fsupq_cpx_trans, ssta_cpx/ qed-.
 
 lemma fsup_cpx_trans: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ →
-                      ∀U2. ⦃h, L2⦄ ⊢ T2 ➡[g] U2 →
-                      ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄.
+                      ∀U2. ⦃h, L2⦄ ⊢ T2 ➡[h, g] U2 →
+                      ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[h, g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄.
 /3 width=3 by fsupq_cpx_trans, fsup_fsupq/ qed-.
 
 lemma fsup_ssta_trans: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ →
-                       ∀U2,l. ⦃h, L2⦄ ⊢ T2 •[g] ⦃l+1, U2⦄ →
-                       ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄.
+                       ∀U2,l. ⦃h, L2⦄ ⊢ T2 •[h, g] ⦃l+1, U2⦄ →
+                       ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[h, g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄.
 /3 width=4 by fsupq_ssta_trans, fsup_fsupq/ qed-.