Theorems · Theorem · number theory
Int.normalize_of_nonpos
∀ {z : ℤ}, z ≤ 0 → normalize z = -z- Defined in
- Mathlib.Algebra.GCDMonoid.Nat
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- neg_zeroproof · cited by 542
- LE.le.eq_or_ltproof · cited by 220
- normalizestatement · cited by 137
- not_le_of_gtproof · cited by 97
- Units.val_oneproof · cited by 39
- mul_neg_oneproof · cited by 30
- normalize_zeroproof · cited by 16
- normalize_applyproof · cited by 8
- Units.val_negproof · cited by 6
- Int.normUnit_eqproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Int.nonneg_of_normalize_eq_selfproof · cited by 1
- Int.abs_eq_normalizeproof · cited by 0