Theorems · Theorem · real analysis
ContDiffPointwiseHolderAt.of_exponent_le
∀ {E : Type u_1} {F : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
[inst_3 : NormedSpace ℝ F] {k : ℕ} {α β : ↑unitInterval} {f : E → F} {a : E},
ContDiffPointwiseHolderAt k α f a → β ≤ α → ContDiffPointwiseHolderAt k β f a- Cited by
- 1 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Set.Elemstatement and proof · cited by 7,166
- le_antisymmproof · cited by 2,068
- le_transproof · cited by 985
- unitIntervalstatement and proof · cited by 607
- Eq.leproof · cited by 605
- Asymptotics.IsBigO.transproof · cited by 56
- Asymptotics.IsBigO.comp_tendstoproof · cited by 33
- ContDiffPointwiseHolderAtstatement and proof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- ContDiffPointwiseHolderAt.of_toLex_leproof · cited by 1