Theorems · Definition · complex analysis
Real.sin
ℝ → ℝ
The real sine function, defined as the real part of the complex sine
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 389 results in Mathlib
- Foundations
- Depth 143 from the axioms, rests on 3,708 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Complex.ofRealproof · cited by 1,654
- Complex.reproof · cited by 882
- Complex.sinproof · cited by 258
Cited by396
Results whose statement or proof uses this declaration.
- Complex.ofReal_sinstatement · cited by 40
- Real.sin_negstatement · cited by 34
- Real.sin_zerostatement · cited by 32
- Real.sin_pi_div_twostatement and proof · cited by 29
- polarCoordproof · cited by 25
- Real.sincproof · cited by 20
- Real.Angle.sin_coestatement · cited by 19
- Real.Angle.tan_coeproof · cited by 19
- Real.continuous_sinstatement · cited by 16
- Real.cos_antiperiodicproof · cited by 16
- Real.tan_eq_sin_div_cosstatement and proof · cited by 15
- ContinuousLinearMap.rotationproof · cited by 14
Showing the 200 most cited of 396.