Theorems · Theorem · Lie groups
Real.Angle.cos_eq_zero_iff
∀ {θ : Real.Angle}, θ.cos = 0 ↔ θ = ↑(Real.pi / 2) ∨ θ = ↑(-Real.pi / 2)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 185 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.pistatement and proof · cited by 1,774
- Real.Anglestatement and proof · cited by 518
- Real.Angle.coestatement and proof · cited by 360
- neg_divproof · cited by 161
- Real.Angle.cosstatement and proof · cited by 77
- Real.cos_pi_div_twoproof · cited by 26
- Real.Angle.cos_coeproof · cited by 20
- Real.Angle.coe_negproof · cited by 9
- Real.Angle.cos_eq_iff_eq_or_eq_negproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Real.Angle.cos_pos_iff_abs_toReal_lt_pi_div_twoproof · cited by 0