Theorems · Theorem · number theory
Real.isAlgebraic_tan_rat_mul_pi
∀ (q : ℚ), IsAlgebraic ℤ (Real.tan (↑q * Real.pi))
tan(q * π) for q : ℚ is algebraic over ℤ, using the real tan function.
- Defined in
- Mathlib.NumberTheory.Niven
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Real.pistatement and proof · cited by 1,774
- Complex.ofReal_mulproof · cited by 180
- IsAlgebraicstatement and proof · cited by 163
- Real.tanstatement · cited by 100
- Complex.tanproof · cited by 77
- Complex.ofReal_tanproof · cited by 9
- isAlgebraic_algebraMap_iffproof · cited by 4
- RCLike.ofReal_injectiveproof · cited by 3
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