(* Advanced properties ******************************************************)
(* Basic_2A1: uses: llpx_sn_refl *)
-lemma lfxs_refl: â\88\80R. (â\88\80L. reflexive â\80¦ (R L)) â\86\92 â\88\80L,T. L ⦻*[R, T] L.
+lemma lfxs_refl: â\88\80R. (â\88\80L. reflexive â\80¦ (R L)) â\86\92 â\88\80L,T. L ⪤*[R, T] L.
#R #HR #L #T elim (frees_total L T) /3 width=3 by lexs_refl, ex2_intro/
qed.
lemma lfxs_pair: ∀R. (∀L. reflexive … (R L)) →
- â\88\80L,V1,V2. R L V1 V2 â\86\92 â\88\80I,T. L.â\93\91{I}V1 ⦻*[R, T] L.ⓑ{I}V2.
+ â\88\80L,V1,V2. R L V1 V2 â\86\92 â\88\80I,T. L.â\93\91{I}V1 ⪤*[R, T] L.ⓑ{I}V2.
#R #HR #L #V1 #V2 #HV12 #I #T
elim (frees_total (L.ⓑ{I}V1) T) #f #Hf
elim (pn_split f) * #g #H destruct