Theorems · Theorem · group theory
ne_zero_pow
∀ {M₀ : Type u_1} [inst : MonoidWithZero M₀] {a : M₀} {n : ℕ}, n ≠ 0 → a ^ n ≠ 0 → a ≠ 0- Defined in
- Mathlib.Algebra.GroupWithZero.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- MonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidWithZerostatement and proof · cited by 456
- zero_powproof · cited by 361
Cited by1
Results whose statement or proof uses this declaration.
- Fermat42.ne_zeroproof · cited by 2