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Theorems · Theorem · group theory

MonoidHom.mrange_id

∀ {M : Type u_1} [inst : MulOneClass M], MonoidHom.mrange (MonoidHom.id M) = ⊤
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MulOneClass
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Around this declaration

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

Monoid.CoprodI.iSup_mrange_of · cited by 1CoprodI.iSup_mrange_ofTop.top · cited by 9680Top.topMonoidHom · cited by 3629MonoidHomSubmonoid · cited by 3086SubmonoidMulOneClass · cited by 1018MulOneClassMonoidHom.id · cited by 323MonoidHom.idMonoidHom.mrange · cited by 63MonoidHom.mrangeMonoidHom.mrange_eq_map · cited by 13MonoidHom.mrange_eq_mapSubmonoid.map_id · cited by 5Submonoid.map_idMonoidHom.mrange_idCITED BYCITES

Cites8

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

Cited by1

Results whose statement or proof uses this declaration.