Theorems · Definition · group theory
Abelianization.equivOfComm
{H : Type u_1} → [inst : CommGroup H] → H ≃* Abelianization HAn Abelian group is equivalent to its own abelianization.
- Defined in
- Mathlib.GroupTheory.Abelianization.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MonoidHomproof · cited by 3,629
- MulEquivstatement · cited by 1,142
- CommGroupstatement and proof · cited by 990
- MonoidHom.idproof · cited by 323
- Abelianizationstatement and proof · cited by 32
- Abelianization.ofproof · cited by 20
- Abelianization.liftproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Abelianization.equivOfComm_applystatement and proof · cited by 0
- Abelianization.equivOfComm_symm_applystatement and proof · cited by 0