Theorems · Theorem · real analysis
Real.iteratedDeriv_add_one_cos
∀ (n : ℕ), iteratedDeriv (n + 1) Real.cos = -iteratedDeriv n Real.sin
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 206 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.
- Realstatement and proof · cited by 25,697
- zero_addproof · cited by 2,366
- derivproof · cited by 676
- Real.cosstatement and proof · cited by 424
- Real.sinstatement and proof · cited by 389
- 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
- Real.deriv_cos'proof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Real.iteratedDeriv_even_sinproof · cited by 1
- Real.iteratedDeriv_even_cosproof · cited by 1
- Real.iteratedDeriv_odd_cosproof · cited by 0