Theorems · Theorem · number theory
Nat.ceilRoot_pow_self
∀ {n : ℕ}, n ≠ 0 → ∀ (a : ℕ), n.ceilRoot (a ^ n) = a- Defined in
- Mathlib.Data.Nat.Factorization.Root
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderproof · cited by 6,410
- Finsupp.prodproof · cited by 231
- Nat.factorizationproof · cited by 215
- pos_iff_ne_zeroproof · cited by 180
- IsBotZeroClassproof · cited by 71
- CeilDiv.ceilDivproof · cited by 25
- Nat.prod_factorization_pow_eq_selfproof · cited by 22
- Nat.factorization_powproof · cited by 17
- Nat.ceilRootstatement · cited by 11
- Nat.ceilRoot_defproof · cited by 3
- smul_ceilDivproof · cited by 1
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