Theorems · Theorem · real analysis
Complex.cos_pi_div_two
Complex.cos (↑Real.pi / 2) = 0
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.cosstatement and proof · cited by 279
- Complex.ofReal_divproof · cited by 83
- Complex.ofReal_cosproof · cited by 43
- Real.cos_pi_div_twoproof · cited by 26
Cited by9
Results whose statement or proof uses this declaration.
- Complex.cos_sub_pi_div_twoproof · cited by 4
- Complex.sin_pi_div_two_subproof · cited by 2
- Complex.exp_neg_pi_div_two_mul_Iproof · cited by 1
- Complex.arg_eq_neg_pi_div_two_iffproof · cited by 1
- Complex.sin_add_pi_div_twoproof · cited by 1
- Complex.arg_eq_pi_div_two_iffproof · cited by 1
- Complex.exp_pi_div_two_mul_Iproof · cited by 1
- Complex.cos_add_pi_div_twoproof · cited by 1
- Complex.sin_sub_pi_div_twoproof · cited by 0