x < ∞ → ↑x ≤ y → x < y.
/3 width=3 by ylt_yle_trans, ylt_succ_dx_refl/ qed.
-(* Inversions and destructions on yle ***************************************)
+(* Inversions with yle and ysucc ********************************************)
(*** ylt_inv_le *)
lemma ylt_inv_le_succ_sn (x) (y):