Mathlib Map

Theorems · Definition · group theory

MonoidHom.toHomUnitsMulEquiv

{G : Type u_1} → {M : Type u_2} → [inst : Group G] → [inst_1 : CommMonoid M] → (G →* M) ≃* (G →* Mˣ)

MonoidHom.toHomUnits as a MulEquiv.

Defined in
Mathlib.Algebra.Group.Units.Hom
Cited by
2 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
GroupCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MonoidHom.toHomUnitsMulEquiv_symm_apply · cited by 0MonoidHom.toHomUnitsMulEq…MonoidHom.toHomUnitsMulEquiv_apply · cited by 0MonoidHom.toHomUnitsMulEq…Group · cited by 6238GroupMonoidHom · cited by 3629MonoidHomUnits · cited by 2804UnitsCommMonoid · cited by 2264CommMonoidMulEquiv · cited by 1142MulEquivMonoidHom.comp · cited by 469MonoidHom.compUnits.coeHom · cited by 44Units.coeHomMonoidHom.toHomUnits · cited by 9MonoidHom.toHomUnitsMonoidHom.toHomUnitsMulEquivCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.