Theorems · Theorem · number theory
Int.negOnePow_two_mul_add_one
∀ (n : ℤ), (2 * n + 1).negOnePow = -1
- Defined in
- Mathlib.Algebra.Ring.NegOnePow
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 45 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.
- Unitsstatement · cited by 2,804
- Int.negOnePowstatement · cited by 156
- Int.negOnePow_oddproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Int.cast_negOnePowproof · cited by 10
- Int.cast_negOnePow_natCastproof · cited by 5
- Function.Antiperiodic.add_zsmul_eqproof · cited by 3