Theorems · Theorem · Lie groups
Real.Angle.tan_coe
∀ (x : ℝ), (↑x).tan = Real.tan x
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.cosproof · cited by 424
- Real.sinproof · cited by 389
- Real.Angle.coestatement and proof · cited by 360
- Real.tanstatement and proof · cited by 100
- Real.Angle.cosproof · cited by 77
- Real.Angle.tanstatement · cited by 38
- Real.Angle.cos_coeproof · cited by 20
- Real.Angle.sin_coeproof · cited by 19
- Real.tan_eq_sin_div_cosproof · cited by 15
Cited by19
Results whose statement or proof uses this declaration.
- Real.Angle.tan_periodicproof · cited by 2
- Orientation.tan_oangle_add_right_mul_norm_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.tan_oangle_add_right_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.tan_oangle_add_right_smul_rotation_pi_div_twoproof · cited by 1
- Real.Angle.tan_eq_inv_of_two_nsmul_add_two_nsmul_eq_piproof · cited by 1
- Orientation.tan_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.tan_oangle_sub_right_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.norm_div_tan_oangle_add_right_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.norm_div_tan_oangle_sub_right_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.tan_oangle_add_left_smul_rotation_pi_div_twoproof · cited by 0
- Real.Angle.tan_coe_piproof · cited by 0
- EuclideanGeometry.tan_oangle_left_mul_dist_of_oangle_eq_pi_div_twoproof · cited by 0