Theorems · Theorem · real analysis
ContDiffPointwiseHolderAt.of_order_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 l : ℕ} {α : ↑unitInterval} {f : E → F} {a : E},
ContDiffPointwiseHolderAt k α f a → l ≤ k → ContDiffPointwiseHolderAt l α f a- Cited by
- 3 results in Mathlib
- Foundations
- Depth 203 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
- Set.Elemstatement and proof · cited by 7,166
- le_rflproof · cited by 1,558
- unitIntervalstatement and proof · cited by 607
- ContDiffPointwiseHolderAtstatement and proof · cited by 30
- Prod.Lex.toLex_monoproof · cited by 2
- ContDiffPointwiseHolderAt.of_toLex_leproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- ContDiffPointwiseHolderAt.comp_of_differentiableAtproof · cited by 3
- ContDiffPointwiseHolderAt.fderivproof · cited by 1
- ContDiffPointwiseHolderAt.iteratedFDerivproof · cited by 0