Mathlib Map

Theorems · Definition · Lie groups

Real.Angle.tan

Real.Angle → ℝ

The tangent of a Real.Angle.

Defined in
Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle
Cited by
38 results in Mathlib
Foundations
Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Real.Angle.tan_coe · cited by 19Angle.tan_coeAffine.Triangle.circumsphere_eq_circumsphere_of_eq_of_eq_of_two_zsmul_oangle_eq · cited by 2Triangle.circumsphere_eq_…Real.Angle.tan_periodic · cited by 2Angle.tan_periodicEuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center · cited by 2Sphere.tan_div_two_smul_r…EuclideanGeometry.Sphere.dist_div_cos_oangle_center_div_two_eq_radius · cited by 2Sphere.dist_div_cos_oangl…Real.Angle.tan_eq_inv_of_two_zsmul_add_two_zsmul_eq_pi · cited by 1Angle.tan_eq_inv_of_two_z…Affine.Triangle.circumsphere_eq_of_dist_of_oangle · cited by 1Triangle.circumsphere_eq_…EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center · cited by 1Sphere.inv_tan_div_two_sm…Real.Angle.tan_eq_of_two_nsmul_eq · cited by 1Angle.tan_eq_of_two_nsmul…Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter · cited by 1Triangle.inv_tan_div_two_…Orientation.norm_div_tan_oangle_add_right_of_oangle_eq_pi_div_two · cited by 1Orientation.norm_div_tan_…Orientation.norm_div_tan_oangle_sub_right_of_oangle_eq_pi_div_two · cited by 1Orientation.norm_div_tan_…Orientation.tan_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two · cited by 1Orientation.tan_oangle_ad…Orientation.tan_oangle_add_right_of_oangle_eq_pi_div_two · cited by 1Orientation.tan_oangle_ad…Orientation.tan_oangle_add_right_smul_rotation_pi_div_two · cited by 1Orientation.tan_oangle_ad…Real · cited by 25697RealReal.Angle · cited by 518Real.AngleReal.Angle.cos · cited by 77Angle.cosReal.Angle.sin · cited by 75Angle.sinAngle.tanCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by38

Results whose statement or proof uses this declaration.