Theorems · Theorem · number theory
Int.negOnePow_eq_neg_one_iff
∀ (n : ℤ), n.negOnePow = -1 ↔ Odd n
- Defined in
- Mathlib.Algebra.Ring.NegOnePow
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 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.
- Unitsstatement and proof · cited by 2,804
- Evenproof · cited by 444
- Oddstatement · cited by 364
- Int.negOnePowstatement and proof · cited by 156
- Int.negOnePow_evenproof · cited by 13
- Int.not_even_iff_oddproof · cited by 8
- Int.negOnePow_oddproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Int.negOnePow_eq_iffproof · cited by 0