Theorems · Theorem · Lie groups
Real.Angle.toReal_zero
Real.Angle.toReal 0 = 0
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- LT.lt.leproof · cited by 2,189
- Real.Anglestatement and proof · cited by 518
- Real.pi_posproof · cited by 173
- Real.Angle.toRealstatement and proof · cited by 82
- Left.neg_neg_iffproof · cited by 16
- Real.Angle.toReal_coe_eq_self_iffproof · cited by 11
- Real.Angle.coe_zeroproof · cited by 6
Cited by10
Results whose statement or proof uses this declaration.
- Real.Angle.pi_ne_zeroproof · cited by 8
- Real.Angle.neg_pi_div_two_ne_zeroproof · cited by 6
- Real.Angle.pi_div_two_ne_zeroproof · cited by 6
- Orientation.oangle_eq_zero_iff_sameRayproof · cited by 5
- Orientation.eq_zero_or_angle_eq_zero_or_pi_of_sign_oangle_eq_zeroproof · cited by 3
- EuclideanGeometry.abs_oangle_toReal_lt_pi_div_two_of_angle_eq_pi_div_twoproof · cited by 2
- Orientation.abs_oangle_sub_left_toReal_lt_pi_div_twoproof · cited by 1
- Real.Angle.toReal_eq_zero_iffproof · cited by 0
- Real.Angle.neg_coe_abs_toReal_of_sign_nonposproof · cited by 0
- Complex.sameRay_iff_arg_div_eq_zeroproof · cited by 0