Theorems · Definition · global analysis
taylorWithinEval
{E : Type u_2} → [inst : NormedAddCommGroup E] → [NormedSpace ℝ E] → (ℝ → E) → ℕ → Set ℝ → ℝ → ℝ → EThe Taylor polynomial with derivatives inside of a set s considered as a function ℝ → E
- Defined in
- Mathlib.Analysis.Calculus.Taylor
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · 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
- PolynomialModule.evalproof · cited by 17
- taylorWithinproof · cited by 2
Cited by27
Results whose statement or proof uses this declaration.
- taylorWithinEval_selfstatement and proof · cited by 7
- taylor_within_zero_evalstatement · cited by 6
- taylorWithinEval_succstatement · cited by 6
- taylor_within_applystatement and proof · cited by 3
- taylor_isLittleOstatement and proof · cited by 2
- taylor_mean_remainderstatement and proof · cited by 2
- hasDerivWithinAt_taylorWithinEvalstatement and proof · cited by 2
- taylor_integral_remainder_auxstatement and proof · cited by 2
- taylor_isLittleO_univstatement and proof · cited by 1
- taylor_mean_remainder_boundstatement and proof · cited by 1
- taylor_mean_remainder_lagrangestatement and proof · cited by 1
- taylor_mean_remainder_lagrange_iteratedDerivstatement and proof · cited by 1