Theorems · Theorem · group theory
map_addCommutatorElement
∀ {G : Type u_1} {G' : Type u_2} {F : Type u_3} [inst : AddGroup G] [inst_1 : AddGroup G'] [inst_2 : FunLike F G G']
[AddMonoidHomClass F G G'] (f : F) (g₁ g₂ : G), f ⁅g₁, g₂⁆ = ⁅f g₁, f g₂⁆- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
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.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- FunLikestatement and proof · cited by 2,560
- map_addproof · cited by 964
- Bracket.bracketstatement · cited by 642
- map_negproof · cited by 378
- AddMonoidHomClassstatement and proof · cited by 252
- addCommutatorElementstatement · cited by 35
Cited by3
Results whose statement or proof uses this declaration.
- AddSubgroup.map_addCommutatorproof · cited by 6
- AddSubgroup.upperCentralSeries.mapproof · cited by 2
- AddSubgroup.Normal.quotient_commutative_iff_addCommutator_leproof · cited by 1