Theorems · Theorem · number theory
Int.negOnePow_odd
∀ (n : ℤ), Odd n → n.negOnePow = -1
- Defined in
- Mathlib.Algebra.Ring.NegOnePow
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 44 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.
- mul_oneproof · cited by 3,885
- Unitsstatement · cited by 2,804
- mul_negproof · cited by 590
- Oddstatement and proof · cited by 364
- Int.negOnePowstatement · cited by 156
- Int.negOnePow_addproof · cited by 25
- Int.negOnePow_two_mulproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- Int.negOnePow_two_mul_add_oneproof · cited by 3
- Polynomial.Chebyshev.eval_T_real_eq_neg_one_iffproof · cited by 3
- Polynomial.zero_lt_negOnePow_mul_eval_of_lt_roots_of_leadingCoeff_nonnegproof · cited by 2
- Int.negOnePow_eq_neg_one_iffproof · cited by 1
- Int.negOnePow_eq_one_iffproof · cited by 1
- CategoryTheory.CatCenter.app_neg_one_zpowproof · cited by 0
- Int.negOnePow_eq_iffproof · cited by 0