Theorems · Theorem · group theory
MonoidHom.map_isConj
∀ {α : Type u} {β : Type v} [inst : Monoid α] [inst_1 : Monoid β] (f : α →* β) {a b : α},
IsConj a b → IsConj (f a) (f b)- Defined in
- Mathlib.Algebra.Group.Conj
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- SemiconjByproof · cited by 99
- Units.mapproof · cited by 95
- IsConjstatement and proof · cited by 43
- MonoidHom.map_mulproof · cited by 37
- SemiconjBy.eqproof · cited by 18
- Units.coe_mapproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.signAux_swapproof · cited by 2
- Equiv.Perm.eq_sign_of_surjective_homproof · cited by 0