Theorems · Theorem · real analysis
Real.hasDerivAt_sinh
∀ (x : ℝ), HasDerivAt Real.sinh (Real.cosh x) x
- Cited by
- 8 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.
Cites7
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
- Complex.ofRealproof · cited by 1,654
- HasDerivAtstatement · cited by 493
- Real.sinhstatement · cited by 142
- Real.coshstatement · cited by 119
- Complex.hasDerivAt_sinhproof · cited by 8
- HasDerivAt.real_of_complexproof · cited by 7
Cited by8
Results whose statement or proof uses this declaration.
- Real.contDiff_arsinhproof · cited by 6
- Real.deriv_sinhproof · cited by 3
- HasFDerivAt.sinhproof · cited by 2
- HasFDerivWithinAt.sinhproof · cited by 2
- Real.differentiable_sinhproof · cited by 1
- HasDerivAt.sinhproof · cited by 1
- HasDerivWithinAt.sinhproof · cited by 1
- Real.isEquivalent_sinhproof · cited by 0