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Theorems · Theorem · group theory

Submonoid.top_prod

∀ {N : Type u_2} [inst : MulOneClass N] {M : Type u_5} [inst_1 : MulOneClass M] (s : Submonoid N),
  ⊤.prod s = Submonoid.comap (MonoidHom.snd M N) s
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
2 results in Mathlib
Foundations
Depth 18 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.

Submonoid.top_prod_top · cited by 1Submonoid.top_prod_topSubmonoid.mrange_inl' · cited by 0Submonoid.mrange_inl'Top.top · cited by 9680Top.topMonoidHom · cited by 3629MonoidHomSubmonoid · cited by 3086SubmonoidMulOneClass · cited by 1018MulOneClassSubmonoid.comap · cited by 179Submonoid.comapSubmonoid.ext · cited by 48Submonoid.extMonoidHom.snd · cited by 31MonoidHom.sndSubmonoid.prod · cited by 27Submonoid.prodSubmonoid.top_prodCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.