Theorems · Theorem · number theory
Int.negOnePow_even
∀ (n : ℤ), Even n → n.negOnePow = 1
- Defined in
- Mathlib.Algebra.Ring.NegOnePow
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Int.negOnePowstatement and proof · cited by 156
- Int.units_mul_selfproof · cited by 27
- Int.negOnePow_addproof · cited by 25
Cited by13
Results whose statement or proof uses this declaration.
- Int.negOnePow_two_mulproof · cited by 4
- Polynomial.Chebyshev.T_eval_negproof · cited by 4
- CochainComplex.mappingCocone.liftCochain_v_snd_vproof · cited by 3
- Polynomial.Chebyshev.eval_T_real_eq_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
- CochainComplex.mappingCocone.inr_v_snd_vproof · cited by 1
- Int.negOnePow_eq_iffproof · cited by 0
- CategoryTheory.CatCenter.app_neg_one_zpowproof · cited by 0
- CochainComplex.mappingCocone.id_Xproof · cited by 0
- Polynomial.Chebyshev.U_eval_negproof · cited by 0