Theorems · Theorem · group theory
MonoidHom.mrange_eq_map
∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N] {F : Type u_4} [inst_2 : FunLike F M N]
[mc : MonoidHomClass F M N] (f : F), MonoidHom.mrange f = Submonoid.map f ⊤- Cited by
- 13 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Submonoidstatement · cited by 3,086
- FunLikestatement and proof · cited by 2,560
- MulOneClassstatement and proof · cited by 1,018
- MonoidHomClassstatement and proof · cited by 244
- Submonoid.mapstatement · cited by 190
- MonoidHom.mrangestatement · cited by 63
- Submonoid.copy_eqproof · cited by 1
Cited by13
Results whose statement or proof uses this declaration.
- Monoid.fg_of_surjectiveproof · cited by 4
- Monoid.Coprod.mclosure_range_inl_union_inrproof · cited by 3
- Monoid.fg_iff_submonoid_fgproof · cited by 2
- MonoidHom.map_mrangeproof · cited by 2
- FreeMonoid.mrange_liftproof · cited by 2
- Submonoid.mrange_inlproof · cited by 2
- Submonoid.mrange_inrproof · cited by 2
- MonoidHom.mclosure_rangeproof · cited by 2
- Monoid.Coprod.mrange_eqproof · cited by 1
- MonoidHom.mrange_idproof · cited by 1
- Submonoid.FG.map_injectiveproof · cited by 1
- Submonoid.sup_eq_rangeproof · cited by 1