Theorems · Definition · group theory
IsAddConj
{α : Type u} → [AddMonoid α] → α → α → PropWe say that a is additively conjugate to b if for some additive unit c we
have c + a + -c = b.
- Defined in
- Mathlib.Algebra.Group.Conj
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- AddUnitsproof · cited by 325
- AddUnits.valproof · cited by 248
- AddSemiconjByproof · cited by 56
Cited by19
Results whose statement or proof uses this declaration.
- addConjugatesOfproof · cited by 6
- IsAddConj.reflstatement · cited by 5
- IsAddConj.setoidproof · cited by 3
- IsAddConj.symmstatement and proof · cited by 3
- isAddConj_iffstatement and proof · cited by 3
- AddConjClasses.mk_eq_mk_iff_isAddConjstatement · cited by 2
- IsAddConj.addConjugatesOf_eqstatement and proof · cited by 2
- IsAddConj.transstatement and proof · cited by 2
- AddGroup.mem_addConjugatesOfSet_iffstatement and proof · cited by 2
- isAddConj_iff_eqstatement and proof · cited by 1
- isAddConj_zero_rightstatement and proof · cited by 1
- AddConjClasses.mem_carrier_iff_mk_eqproof · cited by 1