Group.fintypeOfKerOfCodom

{G : Type u_2} →
  {H : Type u_3} → [inst : Group G] → [inst_1 : Group H] → [Fintype H] → (g : G →* H) → [Fintype ↥g.ker] → Fintype G

If ker(G →* H) and H are finite, then G is finite.

Defined in: Mathlib.GroupTheory.QuotientGroup.Finite
Cited by: 0 results in Mathlib
Foundations: Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group Group Fintype Fintype

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.

Nothing cites this yet.