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Theorems · Theorem · group theory

AddSubgroup.zsmul_mem_zmultiples

∀ {G : Type u_1} [inst : AddGroup G] (g : G) (k : ℤ), k • g ∈ AddSubgroup.zmultiples g
Defined in
Mathlib.Algebra.Group.Subgroup.ZPowers.Basic
Cited by
2 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext
Assumes
AddGroup
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Around this declaration

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AddSubgroup.nsmul_mem_zmultiples · cited by 1AddSubgroup.nsmul_mem_zmu…AddSubgroup.intCast_mul_mem_zmultiples · cited by 0AddSubgroup.intCast_mul_m…AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubgroup.zmultiples · cited by 493AddSubgroup.zmultiplesAddSubgroup.mem_zmultiples_iff · cited by 11AddSubgroup.mem_zmultiple…AddSubgroup.zsmul_mem_zmultip…CITED BYCITES

Cites4

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Cited by2

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