Theorems · Definition · Lie groups
Real.Angle.cos
Real.Angle → ℝ
The cosine of a Real.Angle.
- Cited by
- 77 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Real.Anglestatement and proof · cited by 518
- Real.cos_periodicproof · cited by 16
- Function.Periodic.liftproof · cited by 7
Cited by80
Results whose statement or proof uses this declaration.
- Orientation.rotationproof · cited by 62
- Real.Angle.tanproof · cited by 38
- Real.Angle.cos_coestatement · cited by 20
- Real.Angle.tan_coeproof · cited by 19
- Complex.arg_mul_coe_angleproof · cited by 6
- Orientation.rotationAuxproof · cited by 5
- Orientation.rotation_rotationproof · cited by 5
- Real.Angle.cos_add_pistatement · cited by 4
- Orientation.rotation_piproof · cited by 3
- Orientation.rotation_zeroproof · cited by 3
- Real.Angle.coe_toCirclestatement · cited by 3
- Real.Angle.cos_nonneg_iff_abs_toReal_le_pi_div_twostatement · cited by 3