Theorems · Theorem · group theory
MonoidHom.coe_range
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] (f : G →* N), ↑f.range = Set.range ⇑f- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 23 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.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Set.rangestatement · cited by 4,705
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- MonoidHom.rangestatement · cited by 314
Cited by4
Results whose statement or proof uses this declaration.
- MonoidHom.range_eq_topproof · cited by 29
- Subgroup.range_subtypeproof · cited by 28
- Subgroup.map_comap_eqproof · cited by 5
- Monoid.Coprod.range_inl_sup_range_inrproof · cited by 2