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Theorems · Theorem · group theory

AddMonoidHom.addSubmonoidMap_surjective

∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] (f : M →+ N) (M' : AddSubmonoid M),
  Function.Surjective ⇑(f.addSubmonoidMap M')
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
3 results in Mathlib
Foundations
Depth 17 from the axioms · uses no axioms
Assumes
AddZeroClassAddZeroClass
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Around this declaration

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

LinearMap.submoduleMap_surjective · cited by 3LinearMap.submoduleMap_su…AddMonoidHom.addSubgroupMap_surjective · cited by 2AddMonoidHom.addSubgroupM…AlgHom.subalgebraMap_surjective · cited by 0AlgHom.subalgebraMap_surj…DFunLike.coe · cited by 62936DFunLike.coeSetLike.coe · cited by 8199SetLike.coeAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddSubmonoid.map · cited by 99AddSubmonoid.mapAddMonoidHom.addSubmonoidMap · cited by 3AddMonoidHom.addSubmonoid…AddMonoidHom.addSubmonoidMap_…CITED BYCITES

Cites7

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Cited by3

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