(* Properties about transitive closure **************************************)
lemma llpx_sn_TC_pair_dx: ∀R. (∀L. reflexive … (R L)) →
- ∀I,L,V1,V2,T. LTC … R L V1 V2 →
- LTC … (llpx_sn R 0) T (L.ⓑ{I}V1) (L.ⓑ{I}V2).
+ ∀I,L,V1,V2,T. CTC … R L V1 V2 →
+ CTC … (llpx_sn R 0) T (L.ⓑ{I}V1) (L.ⓑ{I}V2).
#R #HR #I #L #V1 #V2 #T #H @(TC_star_ind … V2 H) -V2
/4 width=9 by llpx_sn_bind_repl_O, llpx_sn_refl, step, inj/
qed.