Theorems · Theorem · special functions
Complex.contDiff_exp
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAlgebra 𝕜 ℂ] {n : WithTop ℕ∞},
ContDiff 𝕜 n Complex.exp- Cited by
- 11 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Complexstatement and proof · cited by 5,565
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- NormedAlgebrastatement and proof · cited by 1,165
- Complex.expstatement · cited by 612
- ContDiffstatement · cited by 352
- AnalyticOnNhd.contDiffproof · cited by 7
- analyticOnNhd_cexpproof · cited by 4
- AnalyticOnNhd.restrictScalarsproof · cited by 3
Cited by11
Results whose statement or proof uses this declaration.
- Complex.contDiff_coshproof · cited by 8
- Complex.contDiff_sinhproof · cited by 8
- Complex.hasStrictDerivAt_expproof · cited by 8
- ContDiff.cexpproof · cited by 6
- Real.contDiff_expproof · cited by 5
- ContDiffWithinAt.cexpproof · cited by 1
- ContDiffOn.cexpproof · cited by 0
- Complex.contDiffAt_logproof · cited by 0
- iteratedDeriv_cexp_const_mulproof · cited by 0
- ContDiffAt.cexpproof · cited by 0
- contMDiff_circleExpproof · cited by 0