QuotientGroup.subgroup_eq_top_of_subsingleton

∀ {G : Type u} [inst : Group G] (H : Subgroup G), Subsingleton (G ⧸ H) → H = ⊤

If the quotient by a subgroup gives a singleton then the subgroup is the whole group.

Defined in: Mathlib.GroupTheory.QuotientGroup.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group

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