Theorems · Theorem · group theory
AddMonoidHom.ker_rangeRestrict
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (f : G →+ N), f.rangeRestrict.ker = f.ker- 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidHom.kerstatement · cited by 158
- AddMonoidHom.rangestatement and proof · cited by 142
- AddMonoidHom.rangeRestrictstatement · cited by 14
- AddMonoidHom.ker_codRestrictproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- QuotientAddGroup.rangeKerLift_injectiveproof · cited by 0