Theorems · Theorem · real analysis
dist_iteratedFDerivWithin_zero
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {E : Type uE} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] (f : E → F)
(s : Set E) (x : E) (g : E → F) (t : Set E) (y : E),
dist (iteratedFDerivWithin 𝕜 0 f s x) (iteratedFDerivWithin 𝕜 0 g t y) = dist (f x) (g y)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Realstatement · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Dist.diststatement and proof · cited by 1,539
- ContinuousMultilinearMapstatement · cited by 1,016
- LinearIsometryEquiv.symmproof · cited by 287
- iteratedFDerivWithinstatement · cited by 147
- continuousMultilinearCurryFin0proof · cited by 34
- LinearIsometryEquiv.dist_mapproof · cited by 3
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