Theorems · Theorem · number theory
Nat.minFac_lemma
∀ (n k : ℕ), ¬n < k * k → n.sqrt - k < n.sqrt + 2 - k
- Defined in
- Mathlib.Data.Nat.Prime.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- le_of_not_gtproof · cited by 430
- Nat.le_sqrtproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Nat.minFacAux_has_propproof · cited by 1