Theorems · Theorem · complex analysis
Complex.sin_sub
∀ (x y : ℂ), Complex.sin (x - y) = Complex.sin x * Complex.cos y - Complex.cos x * Complex.sin y
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 148 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
- sub_eq_add_negproof · cited by 1,023
- mul_negproof · cited by 590
- Complex.cosstatement and proof · cited by 279
- Complex.sinstatement and proof · cited by 258
- Complex.cos_negproof · cited by 17
- Complex.sin_negproof · cited by 17
- Complex.sin_addproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Complex.sin_sub_sinproof · cited by 3