Theorems · Theorem · number theory
Int.negOnePow_eq_iff
∀ (n₁ n₂ : ℤ), n₁.negOnePow = n₂.negOnePow ↔ Even (n₁ - n₂)
- Defined in
- Mathlib.Algebra.Ring.NegOnePow
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
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
- Evenstatement and proof · cited by 444
- Oddproof · 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
- Int.not_odd_iff_evenproof · cited by 2
- Int.negOnePow_eq_neg_one_iffproof · cited by 1
- Int.negOnePow_eq_one_iffproof · cited by 1
- Int.even_subproof · cited by 1
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