Theorems · Theorem · complex analysis
Complex.cos_conj
∀ (x : ℂ), Complex.cos ((starRingEnd ℂ) x) = (starRingEnd ℂ) (Complex.cos x)
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 3 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement · cited by 10,189
- Complexstatement and proof · cited by 5,565
- map_mulproof · cited by 1,137
- Complex.Iproof · cited by 866
- starRingEndstatement and proof · cited by 671
- mul_negproof · cited by 590
- Complex.cosstatement and proof · cited by 279
- Complex.coshproof · cited by 118
- Complex.cosh_mul_Iproof · cited by 11
- Complex.cosh_negproof · cited by 6
- Complex.cosh_conjproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Complex.ofReal_cos_ofReal_reproof · cited by 3
- Complex.cot_conjproof · cited by 1
- Complex.tan_conjproof · cited by 1