Theorems · Theorem · group theory
AddMonoidHom.ker_toAddSubmonoid
∀ {G : Type u_1} [inst : AddGroup G] {M : Type u_7} [inst_1 : AddZeroClass M] (f : G →+ M),
f.ker.toAddSubmonoid = AddMonoidHom.mker f- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- AddGroupAddZeroClass
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
- AddMonoidHom.kerstatement · cited by 158
- AddSubgroup.toAddSubmonoidstatement · cited by 91
- AddMonoidHom.mkerstatement · cited by 19
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