update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma
index 8c92f374235b46b64923f2acbd4b3f95537b440e..2b12ff4381bab155a559ee21f74dfad736af641c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma
@@ -12,8 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/lfpx_fqup.ma".
-include "basic_2/rt_transition/lfpx_lfpx.ma".
+include "basic_2/rt_transition/lfpx_fsle.ma".
 include "basic_2/rt_computation/cpxs_drops.ma".
 include "basic_2/rt_computation/cpxs_cpxs.ma".
 
@@ -30,8 +29,8 @@ lemma lfpx_cpx_trans: ∀h,G. s_r_transitive … (cpx h G) (lfpx h G).
 | #I #G #L2 #V #V2 #W2 #_ #IH #HVW2 #Y1 #H
   elim (lfpx_inv_zero_pair_dx … H) -H #L1 #V1 #HL1 #HV1 #H destruct
   /5 width=3 by lfpx_cpx_conf, cpxs_delta, cpxs_strap2/
-| #I #G #L2 #V #V2 #W2 #i #_ #IH #HVW2 #Y1 #H
-  elim (lfpx_inv_lref_pair_dx … H) -H #L1 #V1 #HL1 #HV1
+| #I2 #G #L2 #V2 #W2 #i #_ #IH #HVW2 #Y1 #H
+  elim (lfpx_inv_lref_bind_dx … H) -H #I1 #L1 #HL1 #H destruct
   /4 width=3 by cpxs_lref, cpxs_strap2/
 | #p #I #G #L2 #V #V2 #T #T2 #_ #_ #IHV #IHT #L1 #H
   elim (lfpx_inv_bind … H) -H /3 width=1 by cpxs_bind/
@@ -53,8 +52,7 @@ lemma lfpx_cpx_trans: ∀h,G. s_r_transitive … (cpx h G) (lfpx h G).
 qed.
 
 lemma lfpx_cpxs_trans: ∀h,G. s_rs_transitive … (cpx h G) (lfpx h G).
-#h #G #L2 #T1 #T2 #H #L1 #HL12 @(cpxs_ind … H) -T2
-/4 width=7 by lfpx_cpx_trans, cpxs_trans, lfpx_cpxs_conf/ (**) (* lfpx_fqup slows this down *)
+/3 width=6 by lfpx_cpx_conf, lfpx_cpx_trans, s_r_trans_LTC1/
 qed-.
 
 (* Advanced properties ******************************************************)
@@ -62,9 +60,9 @@ qed-.
 lemma cpx_bind2: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 →
                  ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ⬈[h] T2 →
                  ∀p. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ⬈*[h] ⓑ{p,I}V2.T2.
-/4 width=5 by lfpx_cpx_trans, cpxs_bind_dx, lfpx_pair/ qed.
+/4 width=5 by lfpx_cpx_trans, cpxs_bind_dx, lfpx_pair_refl/ qed.
 
 lemma cpxs_bind2_dx: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 →
                      ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ⬈*[h] T2 →
                      ∀p. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ⬈*[h] ⓑ{p,I}V2.T2.
-/4 width=5 by lfpx_cpxs_trans, cpxs_bind_dx, lfpx_pair/ qed.
+/4 width=5 by lfpx_cpxs_trans, cpxs_bind_dx, lfpx_pair_refl/ qed.