Theorems · Theorem · group theory
mem_addCommutatorSet_of_isAddConj_sq
∀ (G : Type u_1) [inst : AddGroup G] {g : G}, IsAddConj g (2 • g) → g ∈ addCommutatorSet GIf g is conjugate to 2 • g, then g is an additive commutator
- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- AddGroup
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- AddUnitsproof · cited by 325
- AddUnits.valproof · cited by 248
- two_nsmulproof · cited by 67
- AddSemiconjByproof · cited by 56
- IsAddConjstatement and proof · cited by 17
- AddUnits.isAddUnitproof · cited by 14
- add_neg_eq_iff_eq_addproof · cited by 12
- addCommutatorSetstatement · cited by 9
- addCommutatorElement_defproof · cited by 8
- IsAddUnit.add_neg_cancel_rightproof · cited by 3
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