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Theorems · Theorem · group theory

AddUnits.map_injective

∀ {M : Type u} {N : Type v} [inst : AddMonoid M] [inst_1 : AddMonoid N] {f : M →+ N},
  Function.Injective ⇑f → Function.Injective ⇑(AddUnits.map f)
Defined in
Mathlib.Algebra.Group.Units.Hom
Cited by
1 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext
Assumes
AddMonoidAddMonoid
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Around this declaration

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

AddUnits.map_bijective · cited by 0AddUnits.map_bijectiveDFunLike.coe · cited by 62936DFunLike.coeAddMonoidHom · cited by 3230AddMonoidHomAddMonoid · cited by 2864AddMonoidAddUnits · cited by 325AddUnitsAddUnits.val · cited by 248AddUnits.valAddUnits.ext · cited by 25AddUnits.extAddUnits.map · cited by 16AddUnits.mapAddUnits.map_injectiveCITED BYCITES

Cites7

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Cited by1

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