Section MorphicImage.
Variables aT rT : finGroupType.
Variables (D : {group aT}) (f : {morphism D >-> rT}) (x : aT).
Hypothesis Dx : x \in D.

Lemma cardSg_cyclic G H K :
cyclic G -> H \subset G -> K \subset G -> (#|H| %| #|K|) = (H \subset K).