Theorems · Theorem · real analysis
Real.hasDerivAt_sin
∀ (x : ℝ), HasDerivAt Real.sin (Real.cos x) x
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 203 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.
- Realstatement and proof · cited by 25,697
- HasDerivAtstatement · cited by 493
- Real.cosstatement · cited by 424
- Real.sinstatement · cited by 389
- HasStrictDerivAt.hasDerivAtproof · cited by 52
- Real.hasStrictDerivAt_sinproof · cited by 4
Cited by14
Results whose statement or proof uses this declaration.
- Real.deriv_sinproof · cited by 9
- integral_sin_pow_mul_cos_pow_oddproof · cited by 3
- hasFDerivAt_polarCoord_symmproof · cited by 3
- Real.differentiable_sinproof · cited by 2
- HasDerivWithinAt.sinproof · cited by 2
- Real.deriv_arcsin_auxproof · cited by 2
- HasFDerivAt.sinproof · cited by 2
- HasFDerivWithinAt.sinproof · cited by 2
- integral_cos_pow_auxproof · cited by 1
- integral_sin_pow_auxproof · cited by 1
- HasDerivAt.sinproof · cited by 1
- integral_cos_sq_sub_sin_sqproof · cited by 0