Theorems · Theorem · group theory
eq_zero_of_zpow_eq_zero
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] {a : G₀} {n : ℤ}, a ^ n = 0 → a = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- GroupWithZerostatement and proof · cited by 691
- not_imp_notproof · cited by 63
- zpow_ne_zeroproof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- zpow_eq_zero_iffproof · cited by 5