Theorems · Theorem · special functions
Differentiable.cexp
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAlgebra 𝕜 ℂ] {E : Type u_2}
[inst_2 : NormedAddCommGroup E] [inst_3 : NormedSpace 𝕜 E] {f : E → ℂ},
Differentiable 𝕜 f → Differentiable 𝕜 fun x => Complex.exp (f x)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Complexstatement and proof · cited by 5,565
- NormedAlgebrastatement and proof · cited by 1,165
- Complex.expstatement · cited by 612
- Differentiablestatement and proof · cited by 298
- DifferentiableAt.cexpproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- PhragmenLindelof.horizontal_stripproof · cited by 3
- Function.Periodic.differentiable_qParamproof · cited by 3
- GaussianFourier.integral_cexp_neg_mul_sq_add_real_mul_Iproof · cited by 1
- PhragmenLindelof.right_half_plane_of_bounded_on_realproof · cited by 0