Theorems · Theorem · real analysis
Complex.iteratedDeriv_add_one_cos
∀ (n : ℕ), iteratedDeriv (n + 1) Complex.cos = -iteratedDeriv n Complex.sin
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- zero_addproof · cited by 2,366
- derivproof · cited by 676
- Complex.cosstatement and proof · cited by 279
- Complex.sinstatement and proof · cited by 258
- iteratedDerivstatement and proof · cited by 188
- iteratedDeriv_zeroproof · cited by 34
- iteratedDeriv_succproof · cited by 18
- iteratedDeriv_oneproof · cited by 16
- deriv.neg'proof · cited by 8
- Complex.deriv_cos'proof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Complex.iteratedDeriv_even_cosproof · cited by 1
- Complex.iteratedDeriv_even_sinproof · cited by 1
- Complex.iteratedDeriv_odd_cosproof · cited by 0