Mathlib Map

Theorems · Theorem · group theory

Units.map_id

∀ (M : Type u) [inst : Monoid M], Units.map (MonoidHom.id M) = MonoidHom.id Mˣ
Defined in
Mathlib.Algebra.Group.Units.Hom
Cited by
4 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
Monoid
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Around this declaration

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

ClassGroup.Quot_mk_eq_mk · cited by 3ClassGroup.Quot_mk_eq_mkDirichletCharacter.changeLevel_self · cited by 2DirichletCharacter.change…ClassGroup.mk_eq_mk · cited by 2ClassGroup.mk_eq_mkZMod.unitsMap_self · cited by 0ZMod.unitsMap_selfDFunLike.coe · cited by 62936DFunLike.coeMonoid · cited by 3887MonoidMonoidHom · cited by 3629MonoidHomUnits · cited by 2804UnitsUnits.val · cited by 1966Units.valMonoidHom.id · cited by 323MonoidHom.idMonoidHom.ext · cited by 109MonoidHom.extUnits.map · cited by 95Units.mapUnits.ext · cited by 86Units.extUnits.map_idCITED BYCITES

Cites9

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

Cited by4

Results whose statement or proof uses this declaration.