Theorems · Theorem · complex analysis
Real.abs_cos_eq_one_iff
∀ {x : ℝ}, |Real.cos x| = 1 ↔ ∃ k, ↑k * Real.pi = x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- absstatement and proof · cited by 1,814
- Real.pistatement and proof · cited by 1,774
- Evenproof · cited by 444
- Real.cosstatement and proof · cited by 424
- Oddproof · cited by 364
- abs_oneproof · cited by 87
- abs_eq_absproof · cited by 7
- Int.even_or_oddproof · cited by 6
- Real.cos_eq_one_iffproof · cited by 2
- Real.cos_eq_neg_one_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.abs_eval_T_real_eq_one_iffproof · cited by 3