Theorems · Theorem · group theory
Function.support_pow
∀ {ι : Type u_1} {M₀ : Type u_4} [inst : MonoidWithZero M₀] [IsReduced M₀] {n : ℕ} (f : ι → M₀),
n ≠ 0 → (Function.support fun a => f a ^ n) = Function.support f- Defined in
- Mathlib.Algebra.GroupWithZero.Indicator
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
- Assumes
- MonoidWithZeroIsReduced
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.extproof · cited by 2,266
- Function.supportstatement · cited by 610
- Iff.notproof · cited by 489
- MonoidWithZerostatement and proof · cited by 456
- IsReducedstatement and proof · cited by 98
- pow_eq_zero_iffproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- Function.support_pow'proof · cited by 0