Theorems · Theorem · number theory
abs_zsmul_eq_zero
∀ {G : Type u_1} [inst : AddGroup G] (a : G) (n : ℤ), |n| • a = 0 ↔ n • a = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext
- Assumes
- AddGroup
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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
- absstatement · cited by 1,814
- natCast_zsmulproof · cited by 118
- Int.natCast_natAbsproof · cited by 24
- natAbs_nsmul_eq_zeroproof · cited by 3
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