Theorems · Theorem · order theory
Int.abs_le_sqrt
∀ {a b : ℤ}, 0 ≤ b → (|a| ≤ Int.sqrt b ↔ a * a ≤ b)- Defined in
- Mathlib.Data.Int.Order.Lemmas
- 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- absstatement and proof · cited by 1,814
- abs_nonnegproof · cited by 168
- Nat.cast_leproof · cited by 159
- abs_mul_abs_selfproof · cited by 21
- Int.sqrtstatement and proof · cited by 9
- Nat.le_sqrtproof · cited by 8
- Int.sqrt_natCastproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Int.abs_le_sqrt_iff_sq_leproof · cited by 0