Theorems · Theorem · group theory
Abelianization.ker_of
∀ (G : Type u) [inst : Group G], Abelianization.of.ker = commutator G
- Defined in
- Mathlib.GroupTheory.Abelianization.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- MonoidHom.kerstatement · cited by 212
- commutatorstatement and proof · cited by 56
- Abelianizationstatement · cited by 32
- Abelianization.ofstatement · cited by 20
- QuotientGroup.ker_mk'proof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- IsZGroup.isCyclic_commutatorproof · cited by 1