Theorems · Theorem · group theory
AddSubgroup.nsmul_mem_zmultiples
∀ {G : Type u_1} [inst : AddGroup G] (g : G) (k : ℕ), k • g ∈ AddSubgroup.zmultiples g- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- AddSubgroup.zmultiplesstatement · cited by 493
- natCast_zsmulproof · cited by 118
- AddSubgroup.zsmul_mem_zmultiplesproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.le_zmultiples_iffproof · cited by 0