Theorems · Theorem · group theory
AddMonoidHom.addSubgroupOf_range_eq_of_le
∀ {G₁ : Type u_7} {G₂ : Type u_8} [inst : AddGroup G₁] [inst_1 : AddGroup G₂] {K : AddSubgroup G₂} (f : G₁ →+ G₂)
(h : f.range ≤ K), f.range.addSubgroupOf K = (f.codRestrict K ⋯).range- 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.
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 and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidHom.rangestatement and proof · cited by 142
- AddSubgroup.addSubgroupOfstatement · cited by 87
- AddSubgroup.extproof · cited by 75
- AddMonoidHom.codRestrictstatement · cited by 5
- AddMonoidHom.codRestrict_applyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- BoundedContinuousFunction.range_toLpHomproof · cited by 1