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Theorems · Theorem · group theory

MonoidHom.domRestrict_mker

∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N] (S : Submonoid M) (f : M →* N),
  MonoidHom.mker (f.domRestrict S) = Submonoid.comap S.subtype (MonoidHom.mker f)
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
MulOneClassMulOneClass
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Around this declaration

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

MonoidHom.restrict_mker · cited by 0MonoidHom.restrict_mkerMonoidHom · cited by 3629MonoidHomSubmonoid · cited by 3086SubmonoidMulOneClass · cited by 1018MulOneClassSubmonoid.comap · cited by 179Submonoid.comapMonoidHom.domRestrict · cited by 59MonoidHom.domRestrictSubmonoid.subtype · cited by 26Submonoid.subtypeMonoidHom.mker · cited by 24MonoidHom.mkerMonoidHom.domRestrict_mkerCITED BYCITES

Cites7

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Cited by1

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