Theorems · Theorem · real analysis
ContDiff.log
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {f : E → ℝ} {n : WithTop ℕ∞},
ContDiff ℝ n f → (∀ (x : E), f x ≠ 0) → ContDiff ℝ n fun x => Real.log (f x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 207 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.
- 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
- Real.logstatement · cited by 939
- ContDiffstatement and proof · cited by 352
- ContDiff.contDiffAtproof · cited by 106
- contDiff_iff_contDiffAtproof · cited by 28
- ContDiffAt.logproof · cited by 2
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