Nat.ceilRoot_def

∀ {a n : ℕ}, n.ceilRoot a = if n = 0 ∨ a = 0 then 0 else (a.factorization ⌈/⌉ n).prod fun x1 x2 => x1 ^ x2

The RHS is a noncomputable version of Nat.ceilRoot with better order-theoretic properties.

Defined in: Mathlib.Data.Nat.Factorization.Root
Cited by: 3 results in Mathlib
Foundations: Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.