openpr_V_v2_sweep2.txt

====================================================================================================
CASE V  PR #21624  (open-pr, v2 prompt, sweep2)
file: Mathlib/CategoryTheory/Pi/Monoidal.lean  line: 50.0
reviewer: @b-mehta  on 2025-02-14T03:02:00Z
advice_kind: signature / automation suggestion
prompt_tokens: 8019  completion_tokens: 3158
HUMAN reviewer (ground truth):
  > I'm guessing that these are all explicitly written because aesop_cat can't do them? If that's correct, perhaps this is a sign that we should add ext to the set of things aesop_cat tries.
====================================================================================================

[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.

Compared to a naive matcher you must do TWO extra things, because the answer is often only derivable by combining evidence:

A. STRUCTURAL PATTERN EXTRACTION. Past comments often contain `suggestion` code blocks (```suggestion ... ```) or inline code-shape rewrites. These suggested code snippets ARE concrete advice, not just commentary. Treat them as first-class evidence about preferred Lean/mathlib idioms (e.g.: term-mode constructor `:= ⟨_, _, _⟩` vs `by use _; exact _`, `instance` vs `theorem` for class-membership statements, `refine ⟨..., ?_⟩` vs `use ...; constructor`, `@[simp]` / `@[to_additive]` attributes, naming conventions, docstring phrasing, etc.).

B. CROSS-CANDIDATE SYNTHESIS. The applicable advice for the new hunk may require combining evidence from multiple candidates. Example: candidate X's context tells you that an identifier in the new hunk is a `class`; candidate Y shows the term-mode `instance ... := ⟨...⟩` template for proving class membership. Together they support the conclusion: "the new theorem proving class membership should be rewritten as an `instance` with a term-mode constructor". List supporting PRs for any synthesised finding.

Reasoning protocol (do this internally before producing JSON):

  1. STRUCTURAL FEATURES OF THE NEW HUNK. Identify each: tactic-mode vs term-mode? Uses `by use ...; exact ...`? Uses `use ...; constructor`? Declares an `instance` / a `theorem` / a `lemma` / a `def` / a `class`? Has `@[simp]`, `@[to_additive]`, `@[deprecated]`? Uses anonymous functions `fun x =>` vs `↦`? Has a docstring `/-- ... -/` of any specific shape?

  2. PATTERN INVENTORY FROM CANDIDATES. For each candidate, note any concrete pattern shown in its suggested-code or comment (term-mode template, attribute recommendation, naming convention, idiomatic rewrite, terminology preference, etc.). Also note which candidates' past hunks define or use identifiers that appear in the new hunk (these are clues about whether something is a class, an instance, an alias, etc.).

  3. APPLICABILITY CHECK. For each pattern from step 2, ask: does the new hunk's structure (step 1) instantiate the same shape that this pattern was applied to? If yes, that's a STRONG match. If two patterns combine to support a finding, list both supporting PRs.

  4. STRICT REFUSAL. If after this analysis no candidate (alone or in combination) gives concrete, well-grounded advice for the specific code in the new hunk, output an empty `strong_matches` list. Do not paper over with generic advice. Generic style observations belong in `weak_observations`, clearly marked. Do not invent advice that isn't traceable to specific past PRs in the retrieval pool.

Confidence:
  - "high"  — at least one strong match is grounded in concrete suggested-code or explicit prose from a candidate, and the new hunk clearly fits the same shape
  - "medium" — at least one strong match exists but requires synthesis or adaptation; OR a single candidate gives related but not identical advice
  - "low"   — only loose stylistic patterns; nothing actionable
  - "none"  — retrieved pool is unrelated; do not press an answer

Output JSON ONLY, matching this exact schema:

{
  "summary": "<one sentence describing what we found>",
  "confidence": "high"|"medium"|"low"|"none",
  "strong_matches": [
    {
      "past_pr": <int>,
      "past_file": "<string>",
      "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>",
      "suggested_adaptation": "<one sentence on what the reviewer might say on the new hunk>",
      "supporting_past_prs": [<int>, ...]
    }
  ],
  "weak_observations": [
    {
      "observation": "<short string>",
      "supporting_past_prs": [<int>, ...]
    }
  ]
}

Quote short — under 40 words per excerpt. Be precise about which PR(s) support each finding via supporting_past_prs.

[USER]
----------------------------------------------------------------------------------------------------
NEW HUNK from open PR #21624 (file: Mathlib/CategoryTheory/Pi/Monoidal.lean):
```
@@ -0,0 +1,54 @@
... [10 lines above hidden]
+/-!
+# The pointwise monoidal strucutre on the product of families of monoidal categories
+
+Given a family of monoidal categories `C i`, we define a monoidal structure on
+`Π i, C i` where the tensor product is defined pointwise.
+
+-/
+
+namespace CategoryTheory
+
+namespace Pi
+
+open Category MonoidalCategory
+
+universe w₁ v₁ u₁
+
+variable {I : Type w₁} (C : I → Type u₁) [∀ i, Category.{v₁} (C i)]
+[∀ i, MonoidalCategory (C i)]
+
+/-- `Pi.monoidal C` equipps the product of an indexed family of categories with
+a pointwise monoidal structure. -/
+@[simps]
+instance monoidal : MonoidalCategory.{max w₁ v₁} (∀ i, C i) where
+  tensorObj X Y := fun i ↦ X i ⊗ Y i
+  whiskerLeft X _ _ f := fun i ↦ X i ◁ f i
+  whiskerRight f Z := fun i ↦ f i ▷ Z i
+  tensorHom f g := fun i ↦ f i ⊗ g i
+  tensorUnit := fun i ↦ 𝟙_ (C i)
+  associator X Y Z := isoMk (fun i ↦ α_ (X i) (Y i) (Z i))
+  leftUnitor X := isoMk (fun i ↦ λ_ (X i))
+  rightUnitor X := isoMk (fun i ↦ ρ_ (X i))
+  tensorHom_def _ _ := by ext i; simp only [tensorHom, tensorHom_def, comp_apply]
+  tensor_id _ _ := by ext i; aesop
+  tensor_comp _ _ _ _ := by ext i; aesop
+  whiskerLeft_id _ _ := by ext i; aesop
+  id_whiskerRight _ _ := by ext i; aesop
+  associator_naturality _ _ _ := by ext i; aesop
+  leftUnitor_naturality _ := by ext i; aesop
+  rightUnitor_naturality _ := by ext i; aesop
+  pentagon _ _ _ _ := by ext i; aesop
+  triangle _ _ := by ext i; aesop
```

RETRIEVED CANDIDATES (top-20 by hunk-embedding similarity, sorted by sim desc):

--- candidate 1 (sim=0.933, past_pr=#33183, file=Mathlib/CategoryTheory/Pi/Monoidal.lean) ---
PAST HUNK:
```
@@ -0,0 +1,167 @@
... [69 lines above hidden]
+@[simp]
+theorem right_unitor_hom_apply {X : ∀ i, C i} {i : I} :
+    (ρ_ X).hom i = (ρ_ (X i)).hom := rfl
+
+@[simp]
+theorem right_unitor_inv_apply {X : ∀ i, C i} {i : I} :
+    (ρ_ X).inv i = (ρ_ (X i)).inv := rfl
+
+@[simp]
+theorem isoApp_right_unitor {X : ∀ i, C i} {i : I} :
+    isoApp (ρ_ X) i = ρ_ (X i) := rfl
+
+/-- `Pi.monoidal C` equips the product of an indexed family of categories with
```
PAST COMMENT (from reviewer):
```suggestion
/-- `Pi.monoidalCategory C` equips the product of an indexed family of categories with
```

--- candidate 2 (sim=0.913, past_pr=#33183, file=Mathlib/CategoryTheory/Pi/Monoidal.lean) ---
PAST HUNK:
```
@@ -0,0 +1,167 @@
... [28 lines above hidden]
+
+open Category MonoidalCategory
+
+variable {I : Type w₁} {C : I → Type u₁} [∀ i, Category.{v₁} (C i)]
+[∀ i, MonoidalCategory (C i)]
+
+@[simps tensorObj tensorHom whiskerLeft whiskerRight tensorUnit]
+instance monoidalCategoryStruct : MonoidalCategoryStruct (∀ i, C i) where
+  tensorObj := fun X Y i ↦ X i ⊗ Y i
+  tensorHom f g := fun i ↦ f i ⊗ₘ g i
+  whiskerLeft X _ _ f := fun i ↦ X i ◁ f i
+  whiskerRight f Y := fun i ↦ f i ▷ Y i
+  tensorUnit := fun i ↦ 𝟙_ (C i)
```
PAST COMMENT (from reviewer):
```suggestion
  tensorObj X Y i := X i ⊗ Y i
  tensorHom f g i := f i ⊗ₘ g i
  whiskerLeft X _ _ f i := X i ◁ f i
  whiskerRight f Y i := f i ▷ Y i
  tensorUnit i := 𝟙_ (C i)
```

--- candidate 3 (sim=0.762, past_pr=#33412, file=Mathlib/CategoryTheory/Pi/Monoidal.lean) ---
PAST HUNK:
```
@@ -161,6 +161,96 @@ instance monoidalClosed : MonoidalClosed (∀ i, C i) where
... [10 lines above hidden]
+
+instance [∀ i, BraidedCategory (C i)] (i : I) : (Pi.eval C i).Braided where
+
+@[simps]
+instance laxMonoidalPi' {D : Type*} [Category* D] [MonoidalCategory D] (F : ∀ i : I, D ⥤ C i)
+    [∀ i, (F i).LaxMonoidal] : (Functor.pi' F).LaxMonoidal where
+  ε := fun i ↦ Functor.LaxMonoidal.ε (F i)
+  μ X Y := fun i ↦ Functor.LaxMonoidal.μ (F i) X Y
+
+@[simps]
+instance opLaxMonoidalPi' {D : Type*} [Category* D] [MonoidalCategory D]
+    (F : ∀ i : I, D ⥤ C i)
+    [∀ i, (F i).OplaxMonoidal] : (Functor.pi' F).OplaxMonoidal where
```
PAST COMMENT (from reviewer):
```suggestion
    [∀ i, (F i).OplaxMonoidal] :
    (Functor.pi' F).OplaxMonoidal where
```

--- candidate 4 (sim=0.762, past_pr=#33412, file=Mathlib/CategoryTheory/Pi/Monoidal.lean) ---
PAST HUNK:
```
@@ -161,6 +161,96 @@ instance monoidalClosed : MonoidalClosed (∀ i, C i) where
... [3 lines above hidden]
 
+@[simps!]
+instance (i : I) : (Pi.eval C i).Monoidal where
+  ε := 𝟙 _
+  μ X Y := 𝟙 _
+  η := 𝟙 _
+  δ X Y := 𝟙 _
+
+instance [∀ i, BraidedCategory (C i)] (i : I) : (Pi.eval C i).Braided where
+
+@[simps]
+instance laxMonoidalPi' {D : Type*} [Category* D] [MonoidalCategory D] (F : ∀ i : I, D ⥤ C i)
+    [∀ i, (F i).LaxMonoidal] : (Functor.pi' F).LaxMonoidal where
```
PAST COMMENT (from reviewer):
```suggestion
    [∀ i, (F i).LaxMonoidal] :
    (Functor.pi' F).LaxMonoidal where
```

--- candidate 5 (sim=0.748, past_pr=#10905, file=Mathlib/CategoryTheory/Monoidal/Mon_.lean) ---
PAST HUNK:
```
@@ -497,14 +498,39 @@ instance monMonoidalStruct : MonoidalCategoryStruct (Mon_ C) :=
... [14 lines above hidden]
+
+@[simp]
+theorem whiskerLeft_hom {X Y : Mon_ C} (f : X ⟶ Y) (Z : Mon_ C) :
+    (f ▷ Z).hom = f.hom ▷ Z.X := by
+  rw [← tensorHom_id]; rfl
+
+@[simp]
+theorem whiskerRight_hom (X : Mon_ C) {Y Z : Mon_ C} (f : Y ⟶ Z) :
+    (X ◁ f).hom = X.X ◁ f.hom := by
+  rw [← id_tensorHom]; rfl
+
+@[simp]
+theorem left_unitor_hom_hom (X : Mon_ C) : (λ_ X).hom.hom = (λ_ X.X).hom := rfl
```
PAST COMMENT (from reviewer):
I would suggest this name change here (and below):
```suggestion
theorem leftUnitor_hom_hom (X : Mon_ C) : (λ_ X).hom.hom = (λ_ X.X).hom := rfl
```
(Similarly, in the bicategory setting, I believe `left_unitor` should be renamed `leftUnitor`, etc.)

--- candidate 6 (sim=0.720, past_pr=#2230, file=Mathlib/CategoryTheory/Pi/Basic.lean) ---
PAST HUNK:
```
@@ -0,0 +1,326 @@
... [157 lines above hidden]
+[_inst_2 : forall (j : J), CategoryTheory.Category.{u2, u1} (D j)] (s :
+Sum.{u3, u3} I J), CategoryTheory.Category.{u2, u1} (Sum.elim.{u3, u3, succ
+(succ u1)} I J Type.{u1} C D s) Case conversion may be inaccurate. Consider
+using '#align category_theory.pi.sum_elim_category
+CategoryTheory.Pi.sumElimCategoryₓ'. -/
+instance sumElimCategory : ∀ s : Sum I J, Category.{v₁} (Sum.elim C D s)
+  | Sum.inl i => by
+    dsimp
+    infer_instance
+  | Sum.inr j => by
+    dsimp
+    infer_instance
+#align category_theory.pi.sum_elim_category CategoryTheory.Pi.sumElimCategory
```
PAST COMMENT (from reviewer):
I agree. But note that my suggestion adds the little `ₓ` to the align statement, as the comment instructs. And please leave a porting note.

--- candidate 7 (sim=0.720, past_pr=#2230, file=Mathlib/CategoryTheory/Pi/Basic.lean) ---
PAST HUNK:
```
@@ -0,0 +1,326 @@
... [157 lines above hidden]
+[_inst_2 : forall (j : J), CategoryTheory.Category.{u2, u1} (D j)] (s :
+Sum.{u3, u3} I J), CategoryTheory.Category.{u2, u1} (Sum.elim.{u3, u3, succ
+(succ u1)} I J Type.{u1} C D s) Case conversion may be inaccurate. Consider
+using '#align category_theory.pi.sum_elim_category
+CategoryTheory.Pi.sumElimCategoryₓ'. -/
+instance sumElimCategory : ∀ s : Sum I J, Category.{v₁} (Sum.elim C D s)
+  | Sum.inl i => by
+    dsimp
+    infer_instance
+  | Sum.inr j => by
+    dsimp
+    infer_instance
+#align category_theory.pi.sum_elim_category CategoryTheory.Pi.sumElimCategory
```
PAST COMMENT (from reviewer):
```suggestion
instance sumElimCategory : ∀ s : Sum I J, Category.{v₁} (Sum.elim C D s)
  | Sum.inl i => by
    dsimp
    infer_instance
  | Sum.inr j => by
    dsimp
    infer_instance
#align category_theory.pi.sum_elim_category CategoryTheory.Pi.sumElimCategoryₓ -- Porting note: reordered universes
```

--- candidate 8 (sim=0.706, past_pr=#33201, file=Mathlib/CategoryTheory/Monoidal/Cartesian/FunctorCategory.lean) ---
PAST HUNK:
```
@@ -192,6 +192,28 @@ protected def RepresentableBy.tensorObj {F : Cᵒᵖ ⥤ Type v} {G : Cᵒᵖ 
... [12 lines above hidden]
+        ext
+        · simp only [comp_id, id_comp, whiskerRight_app_fst]
+          apply whiskerRight_app_fst
+        · simp only [comp_id, id_comp, whiskerRight_app_snd]
+          apply whiskerRight_app_snd
+      μIso_hom_natural_right G f := by
+        ext
+        dsimp
+        ext
+        · simp only [comp_id, id_comp, whiskerLeft_app_fst]
+          apply whiskerLeft_app_fst
+        · simp only [comp_id, id_comp, whiskerLeft_app_snd]
+          apply whiskerLeft_app_snd }
```
PAST COMMENT (from reviewer):
This seems to be a (less general) duplicate of [CategoryTheory.Functor.Monoidal.whiskeringLeft](https://leanprover-community.github.io/mathlib4_docs/Mathlib/CategoryTheory/Monoidal/FunctorCategory.html#CategoryTheory.Functor.Monoidal.whiskeringLeft)

--- candidate 9 (sim=0.705, past_pr=#24679, file=Mathlib/CategoryTheory/ChosenFiniteProducts.lean) ---
PAST HUNK:
```
@@ -68,6 +67,127 @@ class ChosenFiniteProducts (C : Type u) [Category.{v} C] extends MonoidalCategor
 
 namespace ChosenFiniteProducts
 
+variable {C : Type u} [Category.{v} C]
+
+section OfChosenFiniteProducts
+variable (𝒯 : LimitCone (Functor.empty.{0} C)) (ℬ : ∀ X Y : C, LimitCone (pair X Y))
+  {X₁ X₂ X₃ Y₁ Y₂ Y₃ Z₁ Z₂ : C}
+
+namespace ofChosenFiniteProducts
+
+/-- Implementation of the tensor product for `ChosenFiniteProducts.ofCartesianMonoidalCategory`. -/
+abbrev tensorObj (X Y : C) : C := (ℬ X Y).cone.pt
+
+/-- Implementation of the tensor product of morphisms for
+`ChosenFiniteProducts.ofCartesianMonoidalCategory`. -/
+abbrev tensorHom (f : X₁ ⟶ Y₁) (g : X₂ ⟶ Y₂) : tensorObj ℬ X₁ X₂ ⟶ tensorObj ℬ Y₁ Y₂ :=
+  (BinaryFan.IsLimit.lift' (ℬ Y₁ Y₂).isLimit ((ℬ X₁ X₂).cone.π.app ⟨.left⟩ ≫ f)
+      (((ℬ X₁ X₂).cone.π.app ⟨.right⟩ : (ℬ X₁ X₂).cone.pt ⟶ X₂) ≫ g)).val
+
+lemma tensor_id (X Y : C) : tensorHom ℬ (𝟙 X) (𝟙 Y) = 𝟙 (tensorObj ℬ X Y) :=
+  (ℬ _ _).isLimit.hom_ext <| by rintro ⟨_ | _⟩ <;> simp [tensorHom]
+
... [71 more lines hidden]
```
PAST COMMENT (from reviewer):
Is there a reason why we want to keep this instead of inlining it?

--- candidate 10 (sim=0.701, past_pr=#26448, file=Mathlib/CategoryTheory/Monoidal/Category.lean) ---
PAST HUNK:
```
@@ -160,12 +160,12 @@ class MonoidalCategory (C : Type u) [𝒞 : Category.{v} C] extends MonoidalCate
   /-- Tensor product of identity maps is the identity: `𝟙 X₁ ⊗ₘ 𝟙 X₂ = 𝟙 (X₁ ⊗ X₂)` -/
   tensor_id : ∀ X₁ X₂ : C, 𝟙 X₁ ⊗ₘ 𝟙 X₂ = 𝟙 (X₁ ⊗ X₂) := by aesop_cat
   /--
-  Tensor product of compositions is composition of tensor products:
-  `(f₁ ≫ g₁) ⊗ₘ (f₂ ≫ g₂) = (f₁ ⊗ₘ f₂) ≫ (g₁ ⊗ₘ g₂)`
+  Composition of tensor products is tensor product of compositions:
+  `(f₁ ⊗ₘ f₂) ≫ (g₁ ⊗ₘ g₂) = (f₁ ≫ g₁) ⊗ₘ (f₂ ≫ g₂)`
   -/
-  tensor_comp :
+  tensorHom_comp_tensorHom :
```
PAST COMMENT (from reviewer):
What was the rational for flipping this around vs adding the simp tag backwards?

--- candidate 11 (sim=0.700, past_pr=#19511, file=Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean) ---
PAST HUNK:
```
@@ -95,63 +97,36 @@ instance instMonoidalCategoryStruct : MonoidalCategoryStruct (ModuleCat.{u} R) w
   tensorObj := tensorObj
   whiskerLeft := whiskerLeft
   whiskerRight := whiskerRight
-  tensorHom f g := TensorProduct.map f g
+  tensorHom f g := asHom <| TensorProduct.map f.hom g.hom
   tensorUnit := ModuleCat.of R R
   associator := associator
   leftUnitor := leftUnitor
   rightUnitor := rightUnitor
 
-section
-
-/-! The `associator_naturality` and `pentagon` lemmas below are very slow to elaborate.
-
-We give them some help by expressing the lemmas first non-categorically, then using
-`convert _aux using 1` to have the elaborator work as little as possible. -/
-
-
-open TensorProduct (assoc map)
-
-private theorem associator_naturality_aux {X₁ X₂ X₃ : Type*} [AddCommMonoid X₁] [AddCommMonoid X₂]
-    [AddCommMonoid X₃] [Module R X₁] [Module R X₂] [Module R X₃] {Y₁ Y₂ Y₃ : Type*}
-    [AddCommMonoid Y₁] [AddCommMonoid Y₂] [AddCommMonoid Y₃] [Module R Y₁] [Module R Y₂]
... [7 more lines hidden]
```
PAST COMMENT (from reviewer):
This makes me happy :)

--- candidate 12 (sim=0.697, past_pr=#7389, file=Mathlib/CategoryTheory/GradedObject/Monoidal.lean) ---
PAST HUNK:
```
@@ -271,10 +296,351 @@ lemma associator_naturality (f₁ : X₁ ⟶ Y₁) (f₂ : X₂ ⟶ Y₂) (f₃
... [311 lines above hidden]
+  Cofan.IsColimit.desc (isColimitCofanTensor X₁ X₂ j) (fun ⟨⟨i₁, i₂⟩, hi⟩ => f i₁ i₂ hi)
+
+@[reassoc (attr := simp)]
+lemma ι_descTensor (j : I) (f : ∀ (i₁ i₂ : I) (_ : i₁ + i₂ = j), X₁ i₁ ⊗ X₂ i₂ ⟶ A)
+    (i₁ i₂ : I) (hi : i₁ + i₂ = j) :
+    ιTensorObj X₁ X₂ i₁ i₂ j hi ≫ descTensor f = f i₁ i₂ hi := by
+  apply Cofan.IsColimit.fac
+
+@[ext]
+lemma tensorObj_ext {j : I} (f g : (X₁ ⊗ X₂) j ⟶ A)
+    (h : ∀ (i₁ i₂ : I) (hi : i₁ + i₂ = j),
+      ιTensorObj X₁ X₂ i₁ i₂ j hi ≫ f = ιTensorObj X₁ X₂ i₁ i₂ j hi ≫ g) : f = g :=
+  Monoidal.tensorObj_ext f g h-/
```
PAST COMMENT (from reviewer):
Do you intend to keep this in the PR? Should it be un-commented?

--- candidate 13 (sim=0.695, past_pr=#14457, file=Mathlib/CategoryTheory/GradedObject/Monoidal.lean) ---
PAST HUNK:
```
@@ -376,6 +528,61 @@ end Triangle
... [39 lines above hidden]
+  rintro ⟨⟨_, _⟩, _⟩ ⟨⟨_, _⟩, _⟩ h
+  simpa using h
+
+instance (n : ℕ) : Finite ({ i : (ℕ × ℕ × ℕ) | i.1 + i.2.1 + i.2.2 = n }) := by
+  refine Finite.of_injective (fun ⟨⟨i₁, i₂, i₃⟩, (hi : i₁ + i₂ + i₃ = n)⟩ =>
+    (⟨⟨i₁, by omega⟩, ⟨i₂, by omega⟩, ⟨i₃, by omega⟩⟩ :
+      Fin (n + 1) × Fin (n + 1) × Fin (n + 1))) ?_
+  rintro ⟨⟨_, _, _⟩, _⟩ ⟨⟨_, _, _⟩, _⟩ h
+  simpa using h
+
+-- Note: this is stated as a lemma instead of an example, because otherwise
+-- CI would complain that importing `Mathlib.CategoryTheory.Limits.Preserves.Finite`
+-- is unnecessary.
```
PAST COMMENT (from reviewer):
So it is unnecessary, then.

I'm not going to object, but this section could become a file `GradedObject/Monoidal/Finite.lean`?

--- candidate 14 (sim=0.694, past_pr=#7277, file=Mathlib/CategoryTheory/Bicategory/End.lean) ---
PAST HUNK:
```
@@ -41,6 +41,7 @@ instance (X : C) : MonoidalCategory (EndMonoidal X) where
   tensorObj f g := f ≫ g
   whiskerLeft {f g h} η := f ◁ η
   whiskerRight {f g} η h := η ▷ h
+  tensorHom {X₁ Y₁ X₂ Y₂} f g := (f ▷ X₂) ≫ (Y₁ ◁ g)
```
PAST COMMENT (from reviewer):
With the previous API, there was not even a chance to use the old constructor! I would suggest not merging this PR, as it goes in the other direction as @yuma-mizuno's planned refactor.

--- candidate 15 (sim=0.685, past_pr=#36613, file=Mathlib/CategoryTheory/Monoidal/Types/Basic.lean) ---
PAST HUNK:
```
@@ -120,7 +125,8 @@ theorem CartesianMonoidalCategory.lift_apply {X Y Z : Type u} {f : X ⟶ Y} {g :
 of a type to the image of that type, tensored with the image of the nth Cartesian power. -/
 noncomputable def MonoidalFunctor.mapPi {C : Type*} [Category* C] [MonoidalCategory C]
     (F : Type _ ⥤ C) [F.Monoidal] (n : ℕ) (β : Type*) :
-    F.obj (Fin (n + 1) → β) ≅ F.obj β ⊗ F.obj (Fin n → β) :=
-  Functor.mapIso _ (Fin.consEquiv _).symm.toIso ≪≫ (Functor.Monoidal.μIso F β (Fin n → β)).symm
+    F.obj ((Fin (n + 1) → β)) ≅ F.obj (β) ⊗ F.obj ((Fin n → β)) :=
+  Functor.mapIso _ (Fin.consEquiv _).symm.toIso ≪≫
```
PAST COMMENT (from reviewer):
```suggestion
  Functor.mapIso _ (Fin.consEquiv _).symm.toIso ≪≫ (Functor.Monoidal.μIso F β (Fin n → β)).symm
```

--- candidate 16 (sim=0.679, past_pr=#10061, file=Mathlib/CategoryTheory/Monoidal/Category.lean) ---
PAST HUNK:
```
@@ -557,8 +739,111 @@ abbrev ofTensorHom [MonoidalCategoryStruct C]
... [71 lines above hidden]
+
+@[reassoc (attr := simp)]
+theorem triangle_assoc_comp_left_inv (X Y : C) :
+    (𝟙 X ⊗ (λ_ Y).inv) ≫ (α_ X (𝟙_ C) Y).inv = (ρ_ X).inv ⊗ 𝟙 Y := by
+  simp
+#align category_theory.monoidal_category.triangle_assoc_comp_left_inv CategoryTheory.MonoidalCategory.triangle_assoc_comp_left_inv
+
+theorem rightUnitor_conjugation {X Y : C} (f : X ⟶ Y) :
+    f ⊗ 𝟙 (𝟙_ C) = (ρ_ X).hom ≫ f ≫ (ρ_ Y).inv := by
+  simp
+#align category_theory.monoidal_category.right_unitor_conjugation CategoryTheory.MonoidalCategory.rightUnitor_conjugation
+
+theorem leftUnitor_conjugation {X Y : C} (f : X ⟶ Y) :
```
PAST COMMENT (from reviewer):
These two lemmas could have the `reassoc` attribute. Otherwise, the PR looks great to me!


--- candidate 17 (sim=0.678, past_pr=#11248, file=Mathlib/CategoryTheory/ChosenFiniteProducts.lean) ---
PAST HUNK:
```
@@ -0,0 +1,126 @@
+/-
+Copyright (c) 2024 Adam Topaz All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: Adam Topaz
+-/
+
+import Mathlib.CategoryTheory.Monoidal.OfChosenFiniteProducts.Symmetric
+import Mathlib.CategoryTheory.Limits.Constructions.FiniteProductsOfBinaryProducts
+
+/-!
+
```
PAST COMMENT (from reviewer):
```suggestion
```

--- candidate 18 (sim=0.674, past_pr=#31346, file=Mathlib/CategoryTheory/Monoidal/FunctorCategory.lean) ---
PAST HUNK:
```
@@ -191,14 +191,16 @@ instance functorCategorySymmetric : SymmetricCategory (C ⥤ D) where
 end SymmetricCategory
 
 @[simps]
-instance {C D E : Type*} [Category C] [Category D] [Category E] [MonoidalCategory D]
+instance whiskeringRightLaxMonoidal
```
PAST COMMENT (from reviewer):
This could be in the `Functor.LaxMonoidal` namespace as `Functor.LaxMonoidal.whiskeringRight`.

--- candidate 19 (sim=0.674, past_pr=#10195, file=Mathlib/CategoryTheory/Monoidal/Mon_.lean) ---
PAST HUNK:
```
@@ -412,7 +412,7 @@ theorem Mon_tensor_mul_one (M N : Mon_ C) :
     (M.X ⊗ N.X) ◁ ((λ_ (𝟙_ C)).inv ≫ (M.one ⊗ N.one)) ≫
         tensor_μ C (M.X, N.X) (M.X, N.X) ≫ (M.mul ⊗ N.mul) =
       (ρ_ (M.X ⊗ N.X)).hom := by
-  simp only [whiskerLeft_comp_assoc]
+  simp only [MonoidalCategory.whiskerLeft_comp_assoc]
```
PAST COMMENT (from reviewer):
Although this comment is not directly related to this PR, what do you think about renaming `CategoryTheory.whiskerLeft_comp` to `CategoryTheory.NatTrans.whiskerLeft_comp` or `CategoryTheory.Functor.whiskerLeft_comp` in another PR to avoid this kind of fixes?

--- candidate 20 (sim=0.672, past_pr=#30684, file=Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean) ---
PAST HUNK:
```
@@ -65,76 +55,72 @@ attribute [local instance] monoidalOfHasFiniteProducts
... [24 lines above hidden]
-theorem tensorHom {W X Y Z : C} (f : W ⟶ X) (g : Y ⟶ Z) : f ⊗ₘ g = Limits.prod.map f g :=
-  rfl
-
-@[simp]
-theorem whiskerLeft (X : C) {Y Z : C} (f : Y ⟶ Z) : X ◁ f = Limits.prod.map (𝟙 X) f :=
-  rfl
-
-@[simp]
-theorem whiskerRight {X Y : C} (f : X ⟶ Y) (Z : C) : f ▷ Z = Limits.prod.map f (𝟙 Z) :=
-  rfl
-
-@[simp]
+@[deprecated CartesianMonoidalCategory.leftUnitor_hom (since := "2025-10-19"), simp, reassoc]
```
PAST COMMENT (from reviewer):
```suggestion
@[deprecated CartesianMonoidalCategory.leftUnitor_hom (since := "2025-10-19"), simp]
```


Decide which candidates' comments genuinely apply to the NEW hunk. If none, say so. Output JSON only.

[ASSISTANT]
----------------------------------------------------------------------------------------------------
{
  "summary": "Two prior comments apply: (1) prefer giving the final argument explicitly in structure fields instead of `:= fun i ↦ …`; (2) refer to this construction as `Pi.monoidalCategory C` in the docstring.",
  "confidence": "high",
  "strong_matches": [
    {
      "past_pr": 33183,
      "past_file": "Mathlib/CategoryTheory/Pi/Monoidal.lean",
      "past_comment_excerpt": "tensorObj X Y i := X i ⊗ Y i",
      "applies_because": "The new instance defines fields like `tensorObj X Y := fun i ↦ …` and `tensorHom f g := fun i ↦ …`, matching the pattern the reviewer suggested rewriting with the `i` argument on the LHS.",
      "suggested_adaptation": "Rewrite the field definitions as `tensorObj X Y i := …`, `tensorHom f g i := …`, `whiskerLeft … i := …`, `whiskerRight … i := …`, and `tensorUnit i := …`.",
      "supporting_past_prs": [
        33183
      ]
    },
    {
      "past_pr": 33183,
      "past_file": "Mathlib/CategoryTheory/Pi/Monoidal.lean",
      "past_comment_excerpt": "/-- `Pi.monoidalCategory C` equips the product … -/",
      "applies_because": "The new docstring says `/-- `Pi.monoidal C` … -/`, which matches the earlier spot the reviewer asked to say `Pi.monoidalCategory C` instead.",
      "suggested_adaptation": "Change the docstring to say ``Pi.monoidalCategory C`` rather than ``Pi.monoidal C``.",
      "supporting_past_prs": [
        33183
      ]
    }
  ],
  "weak_observations": [
    {
      "observation": "Docstring typos: “strucutre” → “structure”; “equipps” → “equips”.",
      "supporting_past_prs": []
    }
  ]
}