Theorems · Theorem · group theory
addCommutator_def
∀ (G : Type u_1) [inst : AddGroup G], addCommutator G = ⁅⊤, ⊤⁆
- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- Bracket.bracketstatement · cited by 642
- addCommutatorstatement · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.map_subtype_addCommutatorproof · cited by 2
- map_addCommutator_eqproof · cited by 0