Theorems · Theorem · real analysis
Complex.cos_add_int_mul_two_pi
∀ (x : ℂ) (n : ℤ), Complex.cos (x + ↑n * (2 * ↑Real.pi)) = Complex.cos x
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 1,774
- Complex.ofRealstatement · cited by 1,654
- Complex.cosstatement · cited by 279
- Function.Periodic.int_mulproof · cited by 18
- Complex.cos_periodicproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- Complex.arg_mem_Iocproof · cited by 6