Theorems · Theorem · group theory
IsAddUnit.of_nsmul_eq_zero
∀ {M : Type u_1} [inst : AddMonoid M] {n : ℕ} {a : M}, n • a = 0 → n ≠ 0 → IsAddUnit a- Defined in
- Mathlib.Algebra.Group.Commute.Units
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- IsAddUnitstatement · cited by 215
- AddUnits.isAddUnitproof · cited by 14
- AddUnits.ofNSMulEqZeroproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- gcd_nsmul_eq_zeroproof · cited by 3