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[Merged by Bors] - chore(Analysis/SpecialFunctions/Log/PosLog): fix non-terminal simp #39564

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[Merged by Bors] - chore(Analysis/SpecialFunctions/Log/PosLog): fix non-terminal simp #39564

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7b9f4c4
Update PosLog.lean
kebekus May 19, 2026
632e307
Update Mathlib/Analysis/SpecialFunctions/Log/PosLog.lean
kebekus May 19, 2026
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4 changes: 1 addition & 3 deletions Mathlib/Analysis/SpecialFunctions/Log/PosLog.lean
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Expand Up @@ -157,8 +157,6 @@ theorem posLog_prod {α : Type*} (s : Finset α) (f : α → ℝ) :
## Estimates for Sums
-/

-- TODO: non-terminal simp followed by positivity
set_option linter.flexible false in
/-- Estimate for `log⁺` of a sum. See `Real.posLog_add` for a variant involving
just two summands. -/
theorem posLog_sum {α : Type*} (s : Finset α) (f : α → ℝ) :
Expand All @@ -176,7 +174,7 @@ theorem posLog_sum {α : Type*} (s : Finset α) (f : α → ℝ) :
apply monotoneOn_posLog (by simp) (by simp [Finset.sum_nonneg])
simp [Finset.abs_sum_le_sum_abs]
_ ≤ log⁺ (∑ t ∈ s, |f t_max|) := by
apply monotoneOn_posLog (by simp [Finset.sum_nonneg]) (by simp; positivity)
apply monotoneOn_posLog (by simp [Finset.sum_nonneg]) (by simp [mul_nonneg])
apply Finset.sum_le_sum (fun i ih ↦ ht_max.2 i ih)
_ = log⁺ (s.card * |f t_max|) := by
simp [Finset.sum_const]
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