Theorems · Theorem · Lie groups
Real.Angle.sign_coe_pi_div_two
(↑(Real.pi / 2)).sign = 1
- Cited by
- 48 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.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Real.pistatement and proof · cited by 1,774
- Real.Angle.coestatement and proof · cited by 360
- SignTypestatement and proof · cited by 318
- Real.Angle.signstatement · cited by 158
- SignType.signproof · cited by 128
- Real.sin_pi_div_twoproof · cited by 29
- Real.Angle.sin_coeproof · cited by 19
- sign_oneproof · cited by 2
Cited by48
Results whose statement or proof uses this declaration.
- Orientation.oangle_add_right_eq_arctan_of_oangle_eq_pi_div_twoproof · cited by 2
- Orientation.oangle_sub_right_eq_arccos_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.oangle_sub_right_eq_arcsin_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.oangle_sub_right_eq_arctan_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.tan_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.norm_div_cos_oangle_add_right_of_oangle_eq_pi_div_twoproof · cited by 1
- Orientation.norm_div_cos_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
- 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.cos_oangle_add_right_mul_norm_of_oangle_eq_pi_div_twoproof · cited by 1