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====================================================================================================
CASE H PR #36731 (open-pr, v3.1 prompt)
file: Mathlib/Geometry/PlaneCurves.lean line: 6.0
reviewer: @grunweg on 2026-03-16T14:47:23Z
advice_kind: minimise imports
prompt_tokens: 5323 completion_tokens: 2797
HUMAN reviewer (ground truth):
> You will need to convert this to a module. Replacing the block of imports by the following will do:
> ```
> module
>
> public import Mathlib.Algebra.Order.Ring.Star
> public import Mathlib.Analysis.InnerProductSpace.Calculus
> public import Mathlib.Analysis.SpecialFunctions.Trigonometric.Deriv
> public import Mathlib.Analysis.Calculus.Deriv.Prod
> public import Mathlib.Data.Real.CompleteField
> public import Mathlib.Data.Real.StarOrdered
> public import Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus
> public import Mathlib.Order.BourbakiWitt
> ```
> That said, I strongly suspect you don't need all those imports. Can you try to minimise them, either by hand or using the `#min_imports` commands? (Write this at the end of the file, on a separate line, and you'll get a list of imports that very likely suffices.)
====================================================================================================
[SYSTEM]
----------------------------------------------------------------------------------------------------
You are an expert reviewer for the Lean 4 / mathlib4 mathematical library. Given a NEW code hunk from an open pull request and a set of historically retrieved (past_hunk, past_comment) pairs, your job is to identify which past reviewer feedback would also apply to the new hunk.
Two failure modes are equally bad and you must avoid BOTH:
(X) "axis-miss" false positive: a past comment and the new code look similar on the surface, but the past reviewer's concern is not present in the new hunk. (Example: past comment is about `ppSpace` formatting, new hunk's actual problem is "this whole function shouldn't return a string".)
(Y) "over-refusal" false negative: a candidate IS genuinely applicable, but you refuse because its concern axis didn't appear in your initial inventory. (Example: you forgot to list `refactor-simplify` for a proof hunk, then declined a candidate that correctly suggests using a higher-level lemma.)
A correct silent output is more valuable than a confident wrong-axis answer, but losing a clearly-applicable candidate is also a real cost.
Read carefully before producing JSON. Follow the four steps below in order.
STEP 1 — STRUCTURAL + SEMANTIC READING OF THE NEW HUNK.
1a. Parse the code shape: tactic-mode vs term-mode, declaration kind (`def` / `theorem` / `lemma` / `instance` / `class` / `structure` / `abbrev` / `syntax` / `notation`), attributes (`@[simp]`, `@[to_additive]`, `@[deprecated]`, `@[ext]`, `@[fun_prop]`, `@[reassoc]`, …), universe parameters, implicit/explicit binders, docstring style, proof tactics used.
1b. Inventory what *could* be criticized about THIS specific hunk. Pick as many as apply from this list of "concern axes":
- correctness-bug (code doesn't typecheck / is logically wrong)
- naming (lemma/def name doesn't follow conventions)
- docstring (missing, unclear, typo, wrong phrasing)
- attribute (missing/wrong `@[simp]` / `@[to_additive]` …)
- style-syntax (`fun x ↦` vs `fun x =>`, `by use _; exact _` vs `⟨_, _⟩`, whitespace/`ppSpace`, notation preference)
- proof-golf (the proof tactics could be shorter/nicer)
- refactor-simplify (same statement provable with less machinery, e.g. use a dedicated higher-level lemma instead of manual rewriting)
- generalize-signature (hypotheses too strong; remove/weaken a typeclass)
- design-smell-architectural (this API shape is wrong; returning a string, unnecessary instance, redundant definition, etc.)
- imports-module (superfluous imports, module structure)
- namespace-organization (`_root_`, namespace boundary, file placement)
- automation-tactic (should use / should teach `aesop_cat`, `gcongr`, `positivity`, etc.)
- instance-diamond (this instance creates an ambiguity / defeq diamond with another)
- unify-with-existing (a similar definition/lemma already exists)
- junk-value (docstring should note behavior at the "undefined" input; handled via `0`/`⊥`/`⊤`)
1c. DEFAULT-INCLUDE RULE. For ANY non-trivial proof or definition hunk (i.e. not a pure-imports/notation/file-header hunk), you MUST include the following axes in your plausible list unless the hunk is so trivial that they cannot apply: `refactor-simplify`, `proof-golf`, `docstring`, `naming`. These are the most common reviewer concerns; gating them out by omission caused real misses in past evaluation. Adding them is cheap; they only trigger a promotion if a candidate also matches.
1d. List the concerns that PLAUSIBLY apply to the new hunk (including the defaults from 1c). If none from outside 1c are obviously present, that is fine — the defaults still cover proof/definition hunks.
STEP 2 — PER-CANDIDATE CONCERN CLASSIFICATION.
For EACH candidate, identify which concern axis (from the same list) the past reviewer's comment was about. Read the past comment carefully: the reviewer's *words* (not the past code) tell you the concern axis. If a past comment ships a `suggestion` code block, that block is evidence for what the reviewer wanted changed — but the axis of concern comes from the prose around it. Ignore candidates whose past comment is pure bikeshed or where you cannot identify a clear concern.
STEP 3 — AXIS MATCH + APPLICABILITY CHECK.
A candidate is eligible for `strong_matches` ONLY if BOTH:
(a) Its axis (from step 2) is among the new hunk's plausible concerns (from step 1d), OR you can clearly justify (in `applies_because`) why this axis IS present in the new hunk after all — in which case ADD that axis to `new_hunk_plausible_concerns` in your output. Late additions are allowed but should be the exception, not the rule.
(b) You can write a concrete adaptation that a Lean/mathlib reviewer would plausibly post on the new hunk *today*, given what is visible in the hunk.
Before promoting, write — in the JSON output, per match — a `why_might_not_apply` field giving the strongest counter-argument against promotion (one short sentence).
DEMOTION RULE (this is the #1 axis-miss-prevention lever):
If your counter-argument names a SPECIFIC PROPERTY of the new hunk that would make the past advice not apply or already-followed — e.g. "the new code already uses term-mode", "the lemma is already named correctly", "the import is actually used at line X", "the new code does not declare an instance, so the diamond risk does not apply" — then DEMOTE to `weak_observations` instead of promoting.
Only PROMOTE if the counter-argument is generic doubt that does NOT identify a specific reason the new hunk evades the past advice — e.g. "this is partly stylistic preference", "the user may have intended this", "I cannot verify without seeing more context". Generic doubt does not block promotion; specific evasion does.
Cross-candidate synthesis is allowed: if candidate X establishes that an identifier in the new hunk is a `class`, and candidate Y shows the preferred term-mode `instance := ⟨...⟩` template, they jointly support a promotion. List both in `supporting_past_prs` and still produce one `why_might_not_apply`.
STEP 4 — CONFIDENCE AND OUTPUT.
Confidence scale:
- "high" — ≥1 strong match survives step 3 AND the adaptation is a near-verbatim application of a past comment; the counter-argument is generic.
- "medium" — ≥1 strong match survives step 3 BUT needs adaptation or synthesis; counter-argument is generic doubt rather than specific evasion.
- "low" — no candidate survives step 3; only stylistic patterns worth mentioning as `weak_observations`.
- "none" — retrieved pool's concerns don't match anything plausible about the new hunk; state this and stop.
Output JSON ONLY, matching this exact schema:
{
"new_hunk_plausible_concerns": [<axis labels from Step 1d, plus any added in Step 3a>],
"summary": "<one sentence describing what we found>",
"confidence": "high"|"medium"|"low"|"none",
"strong_matches": [
{
"past_pr": <int>,
"past_file": "<string>",
"past_concern_axis": "<axis label from the list>",
"past_comment_excerpt": "<verbatim short quote from the past comment OR the relevant snippet from its suggestion block>",
"applies_because": "<one or two sentences linking past code/comment to the new hunk's structure AND explaining why the concern axis matches>",
"suggested_adaptation": "<one sentence on what the reviewer might say on the new hunk>",
"why_might_not_apply": "<one short sentence — strongest counter-argument against this promotion>",
"supporting_past_prs": [<int>, ...]
}
],
"weak_observations": [
{
"observation": "<short string>",
"axis": "<axis label>",
"supporting_past_prs": [<int>, ...]
}
]
}
Quote short — under 40 words per excerpt. Do not invent axis labels outside the list.
[USER]
----------------------------------------------------------------------------------------------------
NEW HUNK from open PR #36731 (file: Mathlib/Geometry/PlaneCurves.lean):
```
@@ -0,0 +1,720 @@
+/-
+Copyright (c) 2026 Michael Novak. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Michael Novak
+-/
+import Mathlib.Algebra.Order.Ring.Star
```
RETRIEVED CANDIDATES (top-20 by hunk-embedding similarity, sorted by sim desc):
--- candidate 1 (sim=0.921, past_pr=#27606, file=Mathlib/NumberTheory/ModularForms/EisensteinSeries/QExpansion.lean) ---
PAST HUNK:
```
@@ -3,23 +3,42 @@ Copyright (c) 2025 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
+import Mathlib.Algebra.Order.Ring.Star
```
PAST COMMENT (from reviewer):
```suggestion
```
This import is not necessary (it provides an instance that can also be obtained otherwise).
--- candidate 2 (sim=0.848, past_pr=#28400, file=Mathlib/NumberTheory/ModularForms/DedekindEta.lean) ---
PAST HUNK:
```
@@ -0,0 +1,140 @@
+/-
+Copyright (c) 2024 Chris Birkbeck. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Chris Birkbeck, David Loeffler
+-/
+
+import Mathlib.Algebra.Order.Ring.Star
+import Mathlib.Analysis.CStarAlgebra.Classes
```
PAST COMMENT (from reviewer):
These two imports aren't used (not sure why `shake` fails to complain)
--- candidate 3 (sim=0.795, past_pr=#31362, file=Mathlib/Combinatorics/Enumerative/PentagonalNumbers.lean) ---
PAST HUNK:
```
@@ -0,0 +1,255 @@
+/-
+Copyright (c) 2025 Beibei Xiong. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Beibei Xiong
+-/
+import Mathlib.Algebra.Order.Ring.Star
+import Mathlib.Analysis.Normed.Ring.Lemmas
+import Mathlib.Combinatorics.Enumerative.Partition
+import Mathlib.Data.Int.Star
+import Mathlib.RingTheory.PowerSeries.Basic
```
PAST COMMENT (from reviewer):
```suggestion
module
public import Mathlib.Algebra.Order.Ring.Star
public import Mathlib.Analysis.Normed.Ring.Lemmas
public import Mathlib.Combinatorics.Enumerative.Partition
public import Mathlib.Data.Int.Star
public import Mathlib.RingTheory.PowerSeries.Basic
```
--- candidate 4 (sim=0.781, past_pr=#218, file=Mathlib/Control/Random.lean) ---
PAST HUNK:
```
@@ -0,0 +1,145 @@
+import Mathlib.Init.Algebra.Order
```
PAST COMMENT (from reviewer):
Please include copyright header (copy from other files).
--- candidate 5 (sim=0.773, past_pr=#9511, file=Mathlib/Algebra/Ring/Ext.lean) ---
PAST HUNK:
```
@@ -0,0 +1,528 @@
+/-
+Copyright (c) 2024 Raghuram Sundararajan. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Raghuram Sundararajan
+-/
+import Mathlib.Algebra.Ring.Defs
+import Mathlib.Algebra.Group.Ext
+-- import Mathlib
```
PAST COMMENT (from reviewer):
A commented-out line that is no longer needed can be safely deleted (we can always check the commits to get it back).
```suggestion
```
--- candidate 6 (sim=0.773, past_pr=#10562, file=Mathlib/Tactic/Bound.lean) ---
PAST HUNK:
```
+/-
+Copyright (c) 2024 Geoffrey Irving. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Geoffrey Irving
+-/
+
+import Aesop
+import Mathlib.Algebra.Order.AbsoluteValue
+import Mathlib.Algebra.Order.BigOperators.Group.Finset
+import Mathlib.Algebra.Order.Field.Basic
+import Mathlib.Algebra.Order.Floor
+import Mathlib.Algebra.Order.Ring.Basic
+import Mathlib.Algebra.Order.Ring.Defs
```
PAST COMMENT (from reviewer):
I'm always worried about importing significant theory in tactics files. It really ties our hands simplifying the import tree.
Could you either try to minimize these imports, or add some comments explaining why these are the minimum necessary?
--- candidate 7 (sim=0.773, past_pr=#14941, file=Mathlib/Algebra/Ring/Semireal/Defs.lean) ---
PAST HUNK:
```
@@ -0,0 +1,115 @@
+/-
+Copyright (c) 2024 Florent Schaffhauser. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Florent Schaffhauser.
+-/
+
+import Mathlib.Algebra.Ring.Defs
```
PAST COMMENT (from reviewer):
```suggestion
Authors: Florent Schaffhauser
-/
import Mathlib.Algebra.Ring.Defs
```
TBH I am not sure what is the problem here. At worst just copy/paste from another file and change your name (The VS Code extension can also produce it for you IIRC)
--- candidate 8 (sim=0.773, past_pr=#14941, file=Mathlib/Algebra/Ring/Semireal/Defs.lean) ---
PAST HUNK:
```
@@ -0,0 +1,115 @@
+/-
+Copyright (c) 2024 Florent Schaffhauser. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Florent Schaffhauser.
+-/
+
+import Mathlib.Algebra.Ring.Defs
```
PAST COMMENT (from reviewer):
Ah, it's the dot at the end of the line
--- candidate 9 (sim=0.770, past_pr=#13974, file=Mathlib/LinearAlgebra/Matrix/DotProduct.lean) ---
PAST HUNK:
```
@@ -101,17 +102,27 @@ section StarOrderedRing
variable [PartialOrder R] [NonUnitalRing R] [StarRing R] [StarOrderedRing R] [NoZeroDivisors R]
+/-- Note that this applies to `ℂ` via `Complex.strictOrderedCommRing`. -/
```
PAST COMMENT (from reviewer):
It looks like you copied all these docstrings from the few declarations below, but they're all wrong? I think they apply to `ℂ` via `RCLike.toStarOrderedRing`, which is available in the `ComplexOrder` scope.
--- candidate 10 (sim=0.766, past_pr=#36329, file=Mathlib/RingTheory/PowerSeries/Log.lean) ---
PAST HUNK:
```
@@ -0,0 +1,66 @@
+/-
+Copyright (c) 2026 Mathlib contributors. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Mathlib contributors
```
PAST COMMENT (from reviewer):
I’ve just noticed that `Exp.lean` has the same header, so I’m a little confused. `Exp.lean` was added by you in #34256, but its contents were already essentially present in `WellKnown.lean`, right? So I have two comments:
* First, if that is correct, then @yury-harmonic should probably be credited with the copyright and authorship of `Exp.lean`. You may of course add yourself to the list of authors, but please don’t remove anyone.
* Second, where does the material in this PR come from? Is it original to you?
--- candidate 11 (sim=0.766, past_pr=#36329, file=Mathlib/RingTheory/PowerSeries/Log.lean) ---
PAST HUNK:
```
@@ -0,0 +1,66 @@
+/-
+Copyright (c) 2026 Mathlib contributors. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Mathlib contributors
```
PAST COMMENT (from reviewer):
Yes, adding names to the list of authors is completely standard, we don't have precise rules about it
--- candidate 12 (sim=0.764, past_pr=#26402, file=Mathlib/CategoryTheory/Limits/FormalCoproducts.lean) ---
PAST HUNK:
```
@@ -0,0 +1,427 @@
+/-
+Copyright (c) 2025 Kenny Lau. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Joël Riou, Kenny Lau
+-/
+
```
PAST COMMENT (from reviewer):
```suggestion
```
--- candidate 13 (sim=0.763, past_pr=#34204, file=Mathlib/LinearAlgebra/QuadraticForm/Signature.lean) ---
PAST HUNK:
```
@@ -0,0 +1,228 @@
+/-
+Copyright (c) 2026 David Loeffler. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: David Loeffler
```
PAST COMMENT (from reviewer):
Could you add the names of the other contributors here?
--- candidate 14 (sim=0.761, past_pr=#10834, file=NatNumberCategories) ---
PAST HUNK:
```
@@ -0,0 +1,416 @@
+/-
+Copyright (c) 2024 Colin Jones. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Author: Colin Jones
+-/
+import Mathlib
```
PAST COMMENT (from reviewer):
This file is supposed to be part of Mathlib, it can't import mathlib without creating an infinite loop. Just import the files you need:
```suggestion
import Mathlib.Algebra.GeomSum
import Mathlib.NumberTheory.Divisors
import Mathlib.Tactic.NormNum.Prime
import Mathlib.Analysis.Normed.Field.Basic
```
--- candidate 15 (sim=0.760, past_pr=#34003, file=Mathlib/Algebra/Group/ModEq.lean) ---
PAST HUNK:
```
@@ -0,0 +1,352 @@
+/-
+Copyright (c) 2023 Yaël Dillies. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Yaël Dillies
```
PAST COMMENT (from reviewer):
I think you can claim authorship here now.
--- candidate 16 (sim=0.759, past_pr=#19760, file=Mathlib/Topology/CWComplex/Basic.lean) ---
PAST HUNK:
```
@@ -0,0 +1,385 @@
+/-
+Copyright (c) 2024 Floris van Doorn and Hannah Scholz. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Floris van Doorn, Hannah Scholz
+-/
+
+import Mathlib.Analysis.InnerProductSpace.Basic
+import Mathlib.Data.Real.StarOrdered
+import Mathlib.Order.CompletePartialOrder
```
PAST COMMENT (from reviewer):
I found this list of imports most strange. Indeed, those are some of the imports that `#min_imports` gets fooled by because they introduce high priority instances that are easily used instead of simpler ones.
So I checked out your branch and iteratively replaced each import by its imports while running `#min_imports`, and I got the following list of imports:
```suggestion
import Mathlib.Analysis.NormedSpace.Real
import Mathlib.Logic.Equiv.PartialEquiv
```
--- candidate 17 (sim=0.757, past_pr=#15105, file=Mathlib/Probability/Kernel/Disintegration/Basic.lean) ---
PAST HUNK:
```
@@ -0,0 +1,155 @@
+/-
+Copyright (c) 2024 Yaël Dillies, Kin Yau James Wong. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Yaël Dillies, Kin Yau James Wong
```
PAST COMMENT (from reviewer):
```suggestion
Authors: Yaël Dillies, Kin Yau James Wong, Rémy Degenne
```
Since a non-negligible part of that code is moved from the other file (although slightly changed).
--- candidate 18 (sim=0.755, past_pr=#9773, file=Mathlib/Analysis/Fourier/FourierTransformDeriv.lean) ---
PAST HUNK:
```
@@ -0,0 +1,192 @@
+/-
+Copyright (c) 2024 David Loeffler. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: David Loeffler
```
PAST COMMENT (from reviewer):
Could you add Alex and Heather here?
--- candidate 19 (sim=0.755, past_pr=#25280, file=Mathlib/RingTheory/EmbeddingDimension.lean) ---
PAST HUNK:
```
@@ -0,0 +1,422 @@
... [4 lines above hidden]
+Authors: Brian Nugent, Jarod Alper
+-/
+import Mathlib.Algebra.Azumaya.Basic
+import Mathlib.Algebra.Lie.OfAssociative
+import Mathlib.Algebra.Module.SpanRank
+import Mathlib.Algebra.Order.Ring.Star
+import Mathlib.Analysis.Normed.Ring.Lemmas
+import Mathlib.Data.Int.Star
+import Mathlib.LinearAlgebra.Dual.Lemmas
+import Mathlib.LinearAlgebra.FreeModule.PID
+import Mathlib.RingTheory.Henselian
+import Mathlib.RingTheory.HopkinsLevitzki
+import Mathlib.RingTheory.Ideal.Cotangent
```
PAST COMMENT (from reviewer):
Can you make sure that these are actually needed, in particular, `Mathlib.Algebra.Lie.OfAssociative` and `Mathlib.Algebra.Azumaya.Basic` and more looks like common `#min_imports` false positives.
--- candidate 20 (sim=0.754, past_pr=#9428, file=Mathlib/AlgebraicTopology/SingularSet.lean) ---
PAST HUNK:
```
@@ -0,0 +1,71 @@
+/-
+Copyright (c) 2024 Johan Commelin. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Johan Commelin, Scott Morrison, Adam Topaz
```
PAST COMMENT (from reviewer):
Ah, I guess [we've argued this before](https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/Copyright.20header/near/280420005). I always take it to be the year the oldest definition/lemma of the file was created.
Decide which candidates' comments genuinely apply to the NEW hunk. If none, say so. Output JSON only.
[ASSISTANT]
----------------------------------------------------------------------------------------------------
{
"new_hunk_plausible_concerns": [
"imports-module"
],
"summary": "The only visible concern is whether the heavy import Mathlib.Algebra.Order.Ring.Star is actually needed; reviewers often ask to minimize or remove unused imports.",
"confidence": "medium",
"strong_matches": [
{
"past_pr": 27606,
"past_file": "Mathlib/NumberTheory/ModularForms/EisensteinSeries/QExpansion.lean",
"past_concern_axis": "imports-module",
"past_comment_excerpt": "This import is not necessary (it provides an instance that can also be obtained otherwise).",
"applies_because": "The new file imports Mathlib.Algebra.Order.Ring.Star; this specific import has previously been flagged as unnecessary or replaceable by other imports.",
"suggested_adaptation": "Please check whether Mathlib.Algebra.Order.Ring.Star is actually used and, if not, remove it or replace it with a narrower import (consider running #min_imports).",
"why_might_not_apply": "The rest of the file (not shown) may genuinely rely on instances or lemmas from this import.",
"supporting_past_prs": [
28400,
19760,
25280
]
},
{
"past_pr": 25280,
"past_file": "Mathlib/RingTheory/EmbeddingDimension.lean",
"past_concern_axis": "imports-module",
"past_comment_excerpt": "Can you make sure that these are actually needed ... looks like common #min_imports false positives.",
"applies_because": "Mathlib.Algebra.Order.Ring.Star is among the imports often brought in unnecessarily; the new file currently imports it without visible use.",
"suggested_adaptation": "Run #min_imports (or otherwise audit) to ensure Mathlib.Algebra.Order.Ring.Star is required; drop it if it’s a false positive.",
"why_might_not_apply": "It could be required for later content or hidden instance priorities.",
"supporting_past_prs": [
19760,
28400
]
}
],
"weak_observations": []
}