Theorems · Theorem · real analysis
ContDiffWithinAt.csin
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f : E → ℂ} {x : E} {s : Set E}
{n : WithTop ℕ∞}, ContDiffWithinAt ℂ n f s x → ContDiffWithinAt ℂ n (fun x => Complex.sin (f x)) s x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- 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
- ContDiffWithinAtstatement and proof · cited by 283
- Complex.sinstatement · cited by 258
- ContDiff.contDiffAtproof · cited by 106
- ContDiffAt.comp_contDiffWithinAtproof · cited by 28
- Complex.contDiff_sinproof · cited by 9
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