Theorems · Theorem · group theory
MonoidHom.ker_toSubmonoid
∀ {G : Type u_1} [inst : Group G] {M : Type u_7} [inst_1 : MulOneClass M] (f : G →* M),
f.ker.toSubmonoid = MonoidHom.mker f- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- GroupMulOneClass
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Submonoidstatement · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- MonoidHom.kerstatement · cited by 212
- Subgroup.toSubmonoidstatement · cited by 114
- MonoidHom.mkerstatement · cited by 24
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