Theorems · Definition · group theory
SemiconjBy
{M : Type u_2} → [Mul M] → M → M → M → Propx is semiconjugate to y by a, if a * x = y * a.
- Defined in
- Mathlib.Algebra.Group.Semiconj.Defs
- Cited by
- 99 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 8 definitions · uses no axioms
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by101
Results whose statement or proof uses this declaration.
- Commuteproof · cited by 639
- IsConjproof · cited by 43
- SemiconjBy.eqstatement and proof · cited by 18
- isConj_iffproof · cited by 16
- SemiconjBy.pow_rightstatement and proof · cited by 9
- IsConj.symmproof · cited by 6
- SemiconjBy.mul_leftstatement and proof · cited by 5
- SemiconjBy.mul_rightstatement and proof · cited by 5
- IsConj.transproof · cited by 4
- MulOpposite.semiconjBy_opstatement · cited by 3
- isConj_iff_eqproof · cited by 3
- SemiconjBy.inv_inv_symm_iffstatement · cited by 3