Theorems · Theorem · real analysis
Real.cos_pi_div_three
Real.cos (Real.pi / 3) = 1 / 2
The cosine of π / 3 is 1 / 2.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement and proof · cited by 1,774
- le_rflproof · cited by 1,558
- le_of_not_gtproof · cited by 430
- Real.cosstatement and proof · cited by 424
- lt_of_not_geproof · cited by 374
- neg_neg_of_posproof · cited by 227
- Real.pi_posproof · cited by 173
- neg_eq_zeroproof · cited by 171
- sub_eq_zero_of_eqproof · cited by 154
Cited by5
Results whose statement or proof uses this declaration.
- Real.cos_pi_div_sixproof · cited by 3
- Real.sin_pi_div_sixproof · cited by 1
- niven_angle_eqproof · cited by 1
- Affine.Simplex.Equilateral.angle_eq_pi_div_threeproof · cited by 1
- Real.tan_pi_div_threeproof · cited by 1