Theorems · Definition · group theory
AddMonoidHom.mrange
{M : Type u_1} →
{N : Type u_2} →
[inst : AddZeroClass M] →
[inst_1 : AddZeroClass N] →
{F : Type u_4} → [inst_2 : FunLike F M N] → [mc : AddMonoidHomClass F M N] → F → AddSubmonoid NThe range of an AddMonoidHom is an AddSubmonoid.
- Cited by
- 61 results in Mathlib
- Foundations
- Depth 18 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.coeproof · cited by 62,936
- Top.topproof · cited by 9,680
- Set.rangeproof · cited by 4,705
- FunLikestatement and proof · cited by 2,560
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
- AddMonoidHomClassstatement and proof · cited by 252
- AddSubmonoid.mapproof · cited by 99
- AddSubmonoid.copyproof · cited by 3
Cited by67
Results whose statement or proof uses this declaration.
- AddSubmonoid.multiplesproof · cited by 40
- AddMonoidHom.mrange_eq_mapstatement · cited by 15
- AddMonoidHom.mem_mrangestatement · cited by 10
- AddMonoidHom.mrange_eq_topstatement · cited by 9
- AddMonoidHom.mrange_eq_top_of_surjectivestatement · cited by 6
- AddSubmonoid.oneproof · cited by 6
- AddMonoidHom.coe_mrangestatement · cited by 5
- AddMonoidHom.mrangeRestrictstatement and proof · cited by 4
- AddSubmonoid.mrange_subtypestatement and proof · cited by 4
- AddMonoidHom.exists_mrange_eq_mgraphstatement · cited by 4
- AddSubmonoid.fg_iff_exists_fin_addMonoidHomstatement and proof · cited by 4
- DFinsupp.mrange_mapRangeAddMonoidHomstatement and proof · cited by 3