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[Merged by Bors] - refactor(Analysis): golf Mathlib/Analysis/Analytic/IteratedFDeriv #38435

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[Merged by Bors] - refactor(Analysis): golf Mathlib/Analysis/Analytic/IteratedFDeriv #38435

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refactor(Analysis): golf IteratedFDeriv
yuanyi-350 Apr 24, 2026
f85943b
golf
yuanyi-350 Apr 24, 2026
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13 changes: 2 additions & 11 deletions Mathlib/Analysis/Analytic/IteratedFDeriv.lean
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Expand Up @@ -127,17 +127,8 @@ lemma ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal
rw [← sum_comp (Equiv.embeddingEquivOfFinite (Fin n))]
congr with σ
congr with i
have A : ∃ y, σ y = i := by
have : Function.Bijective σ := (Fintype.bijective_iff_injective_and_card _).2 ⟨σ.injective, rfl⟩
exact this.surjective i
rcases A with ⟨y, rfl⟩
simp only [EmbeddingLike.apply_eq_iff_eq, exists_eq, ↓reduceDIte,
Function.Embedding.toEquivRange_symm_apply_self, ContinuousLinearMap.coe_pi',
ContinuousLinearMap.coe_id', id_eq, g]
congr 1
symm
simp [inv_apply, Perm.inv_def,
ofBijective_symm_apply_apply, Function.Embedding.equivOfFiniteSelfEmbedding]
obtain ⟨y, rfl⟩ := σ.equivOfFiniteSelfEmbedding.surjective i
simp [Function.Embedding.equivOfFiniteSelfEmbedding, g]

private lemma HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum_of_subset
(h : HasFPowerSeriesWithinOnBall f p s x r) (h' : AnalyticOn 𝕜 f s)
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