Commit 2026-04-23 19:18 f96c7aca
View on Github →feat(Analysis/Calculus/IteratedDeriv): add affine composition lemmas (#36357)
This PR adds composition lemmas for iteratedDerivWithin and iteratedFDerivWithin on maps 𝕜 → F, covering
x ↦ f (-x), x ↦ f (c + x), x ↦ f (x + c), x ↦ f (x - c), and x ↦ f (c - x).
To support these statements, it also adds one-dimensional fderivWithin lemmas that do not require a UniqueDiffWithinAt hypothesis:
fderivWithin_zero_of_not_uniqueDiffWithinAtfderivWithin_const_smul_field'fderivWithin_neg'fderivWithin_comp_negFinally, it rewritesiteratedDeriv_comp_negto follow from the new Fréchet-derivative lemmas, and shortens two proofs inContDiff/FTaylorSeriesby replacing hand-written arguments with existing general lemmas.