Theorems · Theorem · real analysis
Complex.cos_pi_div_two_sub
∀ (x : ℂ), Complex.cos (↑Real.pi / 2 - x) = Complex.sin x
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 180 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.
- 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
- neg_subproof · cited by 272
- Complex.sinstatement and proof · cited by 258
- Complex.cos_negproof · cited by 17
- Complex.cos_sub_pi_div_twoproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Complex.tan_pi_div_two_subproof · cited by 0