Theorems · Theorem · real analysis
Complex.hasStrictDerivAt_sin
∀ (x : ℂ), HasStrictDerivAt Complex.sin (Complex.cos x) x
The complex sine function is everywhere strictly differentiable, with the derivative cos x.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AddCommGroupproof · cited by 12,871
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- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
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- mul_assocproof · cited by 1,667
- add_commproof · cited by 1,535
- ContinuousSMulproof · cited by 1,016
- neg_negproof · cited by 960
- Complex.Iproof · cited by 866
Cited by5
Results whose statement or proof uses this declaration.
- Complex.hasDerivAt_sinproof · cited by 10
- Real.hasStrictDerivAt_sinproof · cited by 4
- Complex.hasStrictDerivAt_tanproof · cited by 2
- HasStrictFDerivAt.csinproof · cited by 0
- HasStrictDerivAt.csinproof · cited by 0