Theorems · Theorem · real analysis
ContinuousWithinAt.rpow
∀ {α : Type u_1} [inst : TopologicalSpace α] {f g : α → ℝ} {s : Set α} {x : α},
ContinuousWithinAt f s x → ContinuousWithinAt g s x → f x ≠ 0 ∨ 0 < g x → ContinuousWithinAt (fun t => f t ^ g t) s x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousWithinAtstatement and proof · cited by 512
- Filter.Tendsto.rpowproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousOn.rpowproof · cited by 0