Theorems · Theorem · group theory
MonoidHom.coe_mrange
∀ {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) = Set.range ⇑f- Cited by
- 6 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Set.rangestatement · cited by 4,705
- 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
- MonoidHom.mrangestatement · cited by 63
Cited by6
Results whose statement or proof uses this declaration.
- Polynomial.splits_iff_exists_multiset'proof · cited by 4
- Submonoid.mrange_subtypeproof · cited by 4
- MonoidHom.mrange_eq_topproof · cited by 4
- Submonoid.closure_eq_image_prodproof · cited by 2
- Monoid.Coprod.mrange_inl_sup_mrange_inrproof · cited by 2
- Submonoid.FG.map_injectiveproof · cited by 1