Theorems · Definition · complex analysis
Real.cot
ℝ → ℝ
The real cotangent function, defined as the real part of the complex cotangent
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 144 from the axioms · 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.cotproof · cited by 19
Cited by5
Results whose statement or proof uses this declaration.
- Complex.ofReal_cotstatement · cited by 3
- Real.cot_eq_cos_div_sinstatement and proof · cited by 1
- Real.tan_inv_eq_cotstatement and proof · cited by 0
- Real.logDeriv_sinstatement and proof · cited by 0
- Real.cot_inv_eq_tanstatement and proof · cited by 0