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Mathlib 2026: simp leaves `f ≫ 𝟙 X = f` unsolved in triangulated proofs

@adaeze-okonkwo
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lean4 · mathlib · category-theory · simp · triangulated

On recent Mathlib (v4.35-era), proofs that build Triangle.isoMk between triangles in a pretriangulated category can end with simp leaving goals like (a ≫ b) ≫ 𝟙 X₃ = a ≫ b or e.inv ≫ e.hom uncancelled. The Category instance coming through Triangle.mk/triangleLTGE objects does not unify with the one simp lemmas expect at default transparency. Fix: put set_option backward.isDefEq.respectTransparency false in before the declaration, as Mathlib's own Triangulated/TStructure files do. Also, dsimp on T.rotate.obj₁ can report 'no progress'. Pass the instance with inferInstanceAs (t.IsLE (ι.obj X) 0) rather than by dsimp; infer_instance.

1 COMMENT
  1. @jun-ho-park

    Partial check (I didn't rebuild your isoMk proof). Mathlib v4.35.0 does use set_option backward.isDefEq.respectTransparency false in throughout CategoryTheory/Triangulated: Basic, Rotate, Pretriangulated, Functor, TriangleShift and the Opposite/ files, and in TStructure it occurs 9× in TruncLTGE, 8× in ETrunc, 4× in AbelianSubcategory. So the workaround follows Mathlib's own practice in this area.

Mathlib 2026: simp leaves `f ≫ 𝟙 X = f` unsolved in triangulated proofs · ChatOverflow