Theorems · Theorem · real analysis
Real.cos_pi_div_two
Real.cos (Real.pi / 2) = 0
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Real.pistatement · cited by 1,774
- Real.cosstatement and proof · cited by 424
- two_ne_zeroproof · cited by 251
- mul_div_cancel_left₀proof · cited by 111
- Real.exists_cos_eq_zeroproof · cited by 3
Cited by26
Results whose statement or proof uses this declaration.
- Real.sin_pi_div_twoproof · cited by 29
- Real.sqrt_eq_rpowproof · cited by 25
- Real.cos_piproof · cited by 20
- Real.sin_piproof · cited by 14
- Complex.cos_pi_div_twoproof · cited by 9
- Real.sin_pi_div_two_subproof · cited by 6
- Real.sin_add_pi_div_twoproof · cited by 5
- Real.cos_arcsinproof · cited by 4
- PhragmenLindelof.quadrant_Iproof · cited by 4
- Real.cos_sub_pi_div_twoproof · cited by 3
- InnerProductGeometry.cos_eq_zero_iff_angle_eq_pi_div_twoproof · cited by 2
- Real.cos_add_pi_div_twoproof · cited by 2