Theorems · Theorem · complex analysis
Real.cos_eq_zero_iff
∀ {θ : ℝ}, Real.cos θ = 0 ↔ ∃ k, θ = (2 * ↑k + 1) * Real.pi / 2- Cited by
- 3 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Complexproof · cited by 5,565
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- Real.cosstatement and proof · cited by 424
- Int.cast_oneproof · cited by 371
- Complex.cosproof · cited by 279
- Complex.ofReal_mulproof · cited by 180
- Int.cast_addproof · cited by 124
- Int.cast_mulproof · cited by 113
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.roots_T_realproof · cited by 2
- Real.continuousOn_tan_Iooproof · cited by 1
- Real.tendsto_abs_tan_atTopproof · cited by 0