Theorems · Theorem · number theory
niven_angle_div_pi_eq
∀ {r : ℚ}, (∃ q, Real.cos (↑r * Real.pi) = ↑q) → r ∈ Set.Icc 0 1 → r ∈ {0, 1 / 3, 1 / 2, 2 / 3, 1}- Defined in
- Mathlib.NumberTheory.Niven
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.imageproof · cited by 5,609
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement and proof · cited by 1,774
- Set.Iccstatement and proof · cited by 1,702
- MulZeroClass.zero_mulproof · cited by 1,625
- le_of_ltproof · cited by 1,175
- one_divproof · cited by 624
- Set.image_congrproof · cited by 533
Cited by1
Results whose statement or proof uses this declaration.
- niven_fract_angle_div_pi_eqproof · cited by 1