Theorems · Theorem · number theory
Int.negOnePow_succ
∀ (n : ℤ), (n + 1).negOnePow = -n.negOnePow
- Defined in
- Mathlib.Algebra.Ring.NegOnePow
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- Unitsstatement and proof · cited by 2,804
- mul_negproof · cited by 590
- Int.negOnePowstatement and proof · cited by 156
- Int.negOnePow_addproof · cited by 25
- Int.negOnePow_oneproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- CochainComplex.HomComplex.δ_compproof · cited by 5
- CochainComplex.mappingCone.δ_descCochainproof · cited by 1
- Matrix.submatrix_succAbove_det_eq_negOnePow_submatrix_succAbove_detproof · cited by 1
- Polynomial.ascPochhammer_smeval_neg_eq_descPochhammerproof · cited by 1
- Polynomial.Chebyshev.U_eval_negproof · cited by 0
- CochainComplex.HomComplex.δ_δproof · cited by 0