Theorems · Theorem · real analysis
ContDiff.rpow
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {f g : E → ℝ} {n : WithTop ℕ∞},
ContDiff ℝ n f → ContDiff ℝ n g → (∀ (x : E), f x ≠ 0) → ContDiff ℝ n fun x => f x ^ g x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ContDiffstatement and proof · cited by 352
- ContDiff.contDiffAtproof · cited by 106
- contDiff_iff_contDiffAtproof · cited by 28
- ContDiffAt.rpowproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ContDiff.rpow_const_of_neproof · cited by 0