Theorems · Theorem · real analysis
ContDiffAt.csin
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f : E → ℂ} {x : E} {n : WithTop ℕ∞},
ContDiffAt ℂ n f x → ContDiffAt ℂ n (fun x => Complex.sin (f x)) x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Complexstatement and proof · cited by 5,565
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ContDiffAtstatement and proof · cited by 262
- Complex.sinstatement · cited by 258
- ContDiff.contDiffAtproof · cited by 106
- ContDiffAt.compproof · cited by 34
- Complex.contDiff_sinproof · cited by 9
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