(**************************************************************************)
include "basic_2/rt_transition/lfpx_fqup.ma".
-include "basic_2/rt_transition/lfpx_lfpx.ma".
+include "basic_2/rt_transition/lfpx_cpx.ma".
include "basic_2/rt_computation/cpxs_drops.ma".
include "basic_2/rt_computation/cpxs_cpxs.ma".
| #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/
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.