Theorems · Theorem · group theory
AddMonoidHom.domRestrict_range
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (K : AddSubgroup G) (f : G →+ N),
(f.domRestrict K).range = AddSubgroup.map f K- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubgroup.mapstatement and proof · cited by 189
- AddMonoidHom.rangestatement · cited by 142
- SetLike.ext_iffproof · cited by 64
- AddMonoidHom.domRestrictstatement and proof · cited by 35
- AddMonoidHom.mem_rangeproof · cited by 16
- AddSubgroup.mem_mapproof · cited by 15
- SetLike.existsproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidHom.restrict_rangeproof · cited by 0