* #n #m #f2 #g2 #Hf2 #Hg2 #HL #Hfg2 #p
elim (lveq_inv_pair_pair … HL) -HL #HL #H1 #H2 destruct
elim (frees_total L2 V2) #g1 #Hg1
* #n #m #f2 #g2 #Hf2 #Hg2 #HL #Hfg2 #p
elim (lveq_inv_pair_pair … HL) -HL #HL #H1 #H2 destruct
elim (frees_total L2 V2) #g1 #Hg1
lapply (frees_inv_lifts_SO (Ⓣ) … Hf2 … HTU1)
[1,2: /3 width=4 by drops_refl, drops_drop/ ] -U1 #Hf2
lapply (sor_inv_sle_dx … Hg) #H0g
lapply (frees_inv_lifts_SO (Ⓣ) … Hf2 … HTU1)
[1,2: /3 width=4 by drops_refl, drops_drop/ ] -U1 #Hf2
lapply (sor_inv_sle_dx … Hg) #H0g