Theorems · Theorem · real analysis
iteratedDerivWithin_zero
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {f : 𝕜 → F} {s : Set 𝕜}, iteratedDerivWithin 0 f s = f- Cited by
- 15 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- iteratedDerivWithinstatement · cited by 122
Cited by15
Results whose statement or proof uses this declaration.
- taylor_within_zero_evalproof · cited by 6
- taylor_within_applyproof · cited by 3
- iteratedDerivWithin_negproof · cited by 3
- Complex.one_add_cpow_hasFPowerSeriesOnBall_zeroproof · cited by 3
- iteratedDerivWithin_constproof · cited by 3
- iteratedDerivWithin_const_smul_fieldproof · cited by 2
- hasDerivWithinAt_taylorWithinEvalproof · cited by 2
- iteratedDerivWithin_eq_iterateproof · cited by 2
- taylor_integral_remainder_auxproof · cited by 2
- iteratedDerivWithin_tsumproof · cited by 1
- iteratedDerivWithin_idproof · cited by 1
- iteratedDerivWithin_comp_const_smulproof · cited by 1