Theorems · Theorem · number theory
Int.nonneg_iff_normalize_eq_self
∀ (z : ℤ), normalize z = z ↔ 0 ≤ z
- Defined in
- Mathlib.Algebra.GCDMonoid.Nat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- normalizestatement · cited by 137
- Int.normalize_of_nonnegproof · cited by 4
- Int.nonneg_of_normalize_eq_selfproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- UniqueFactorizationMonoid.primeFactors_eq_primeFactors_natAbsproof · cited by 1