Theorems · Theorem · Lie groups
Real.Angle.sin_coe
∀ (x : ℝ), (↑x).sin = Real.sin x
- Cited by
- 19 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.
Cites4
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.sinstatement · cited by 389
- Real.Angle.coestatement · cited by 360
- Real.Angle.sinstatement · cited by 75
Cited by19
Results whose statement or proof uses this declaration.
- Real.Angle.sign_coe_pi_div_twoproof · cited by 48
- Real.Angle.tan_coeproof · cited by 19
- Real.Angle.sin_toRealproof · cited by 3
- Real.Angle.sin_zeroproof · cited by 3
- Real.Angle.arg_toCircleproof · cited by 2
- Orientation.sin_oangle_sub_right_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.norm_div_sin_oangle_add_right_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.norm_div_sin_oangle_sub_right_of_oangle_eq_pi_div_twoproof · cited by 1
- Real.Angle.sin_coe_piproof · cited by 1
- Orientation.sin_oangle_add_right_mul_norm_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.sin_oangle_add_right_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.sin_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_twoproof · cited by 1