Theorems · Theorem · group theory
AddMonoidHom.ker_codRestrict
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] {S : Type u_8} [inst_2 : SetLike S N]
[inst_3 : AddSubmonoidClass S N] (f : G →+ N) (s : S) (h : ∀ (x : G), f x ∈ s), (f.codRestrict s h).ker = f.ker- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, 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 and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- SetLikestatement and proof · cited by 1,084
- AddSubmonoidClassstatement and proof · cited by 346
- AddMonoidHom.kerstatement · cited by 158
- SetLike.extproof · cited by 92
- AddMonoidHom.codRestrictstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidHom.ker_rangeRestrictproof · cited by 1