Theorems · Theorem · number theory
Int.negOnePow_add
∀ (n₁ n₂ : ℤ), (n₁ + n₂).negOnePow = n₁.negOnePow * n₂.negOnePow
- Defined in
- Mathlib.Algebra.Ring.NegOnePow
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, 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
- zpow_addproof · cited by 40
Cited by25
Results whose statement or proof uses this declaration.
- Int.negOnePow_evenproof · cited by 13
- Int.negOnePow_oddproof · cited by 7
- Int.negOnePow_succproof · cited by 6
- CochainComplex.HomComplex.δ_compproof · cited by 5
- Int.negOnePow_subproof · cited by 4
- Polynomial.Chebyshev.T_eval_negproof · cited by 4
- CochainComplex.HomComplex.Cochain.δ_leftShiftproof · cited by 2
- CochainComplex.HomComplex.Cochain.δ_rightShiftproof · cited by 2
- Polynomial.Chebyshev.T_eval_zeroproof · cited by 2
- Polynomial.Chebyshev.U_eval_zeroproof · cited by 2
- Matrix.submatrix_succAbove_det_eq_negOnePow_submatrix_succAbove_detproof · cited by 1
- CochainComplex.HomComplex.Cochain.leftShift_compproof · cited by 1