(* Advanced properties ******************************************************)
(* Basic_2A1: uses: lsx_lref_free *)
-lemma lfsx_lref_atom: â\88\80h,o,G,L,i. â¬\87*[â\92», ð\9d\90\94â\9d´iâ\9dµ] L â\89¡ ⋆ → G ⊢ ⬈*[h, o, #i] 𝐒⦃L⦄.
+lemma lfsx_lref_atom: â\88\80h,o,G,L,i. â¬\87*[â\92», ð\9d\90\94â\9d´iâ\9dµ] L â\89\98 ⋆ → G ⊢ ⬈*[h, o, #i] 𝐒⦃L⦄.
#h #o #G #L1 #i #HL1
@(lfsx_lifts … (#0) … HL1) -HL1 //
qed.
(* Basic_2A1: uses: lsx_lref_skip *)
-lemma lfsx_lref_unit: â\88\80h,o,I,G,L,K,i. â¬\87*[i] L â\89¡ K.ⓤ{I} → G ⊢ ⬈*[h, o, #i] 𝐒⦃L⦄.
+lemma lfsx_lref_unit: â\88\80h,o,I,G,L,K,i. â¬\87*[i] L â\89\98 K.ⓤ{I} → G ⊢ ⬈*[h, o, #i] 𝐒⦃L⦄.
#h #o #I #G #L1 #K1 #i #HL1
@(lfsx_lifts … (#0) … HL1) -HL1 //
qed.
(* Basic_2A1: uses: lsx_fwd_lref_be *)
lemma lfsx_fwd_lref_pair: ∀h,o,G,L,i. G ⊢ ⬈*[h, o, #i] 𝐒⦃L⦄ →
- â\88\80I,K,V. â¬\87*[i] L â\89¡ K.ⓑ{I}V → G ⊢ ⬈*[h, o, V] 𝐒⦃K⦄.
+ â\88\80I,K,V. â¬\87*[i] L â\89\98 K.ⓑ{I}V → G ⊢ ⬈*[h, o, V] 𝐒⦃K⦄.
#h #o #G #L #i #HL #I #K #V #HLK
lapply (lfsx_inv_lifts … HL … HLK … (#0) ?) -L
/2 width=2 by lfsx_fwd_pair/