Theorems · Theorem · number theory
Nat.ceilRoot_ne_zero
∀ {a n : ℕ}, n.ceilRoot a ≠ 0 ↔ n ≠ 0 ∧ a ≠ 0- Defined in
- Mathlib.Data.Nat.Factorization.Root
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coeproof · cited by 62,936
- Nat.factorizationproof · cited by 215
- CeilDiv.ceilDivproof · cited by 25
- Nat.ceilRootstatement · cited by 11
- Nat.factorization_zero_rightproof · cited by 7
- zero_ceilDivproof · cited by 5
- Nat.ceilRoot_defproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Nat.dvd_pow_iff_ceilRoot_dvdproof · cited by 1
- Nat.ceilRoot_eq_zeroproof · cited by 0