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Theorems · Theorem · group theory

MonoidWithZeroHom.comap_mker

∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : MulZeroOneClass M] [inst_1 : MulZeroOneClass N]
  [inst_2 : MulZeroOneClass P] (g : N →*₀ P) (f : M →*₀ N),
  Submonoid.comap f (MonoidHom.mker g) = MonoidHom.mker (g.comp f)
Defined in
Mathlib.Algebra.Group.Subgroup.Actions
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
MulZeroOneClassMulZeroOneClassMulZeroOneClass
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Around this declaration

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

Ring.mker_ordFrac_eq_isUnitSubmonoid · cited by 0Ring.mker_ordFrac_eq_isUn…Submonoid · cited by 3086SubmonoidMonoidWithZeroHom · cited by 704MonoidWithZeroHomMulZeroOneClass · cited by 184MulZeroOneClassSubmonoid.comap · cited by 179Submonoid.comapMonoidWithZeroHom.comp · cited by 34MonoidWithZeroHom.compMonoidHom.mker · cited by 24MonoidHom.mkerMonoidWithZeroHom.comap_mkerCITED BYCITES

Cites6

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Cited by1

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