Sync upstream mathlib4 (2026-08-01, +14 commits) - #91
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…cible` (#42161) This PR removes a lot of the transparency related `set_option`. I did this by using `#defeq_abuse in` to determine which definition was not being unfolded, and then tagging such definitions with `implicit_reducible`. In particular `backward.isDefEq.respectTransparency` can almost always be removed like this, but `backward.defeqAttrib.useBackward` is still sometimes tricky to remove. Presumably, the changes from this PR will let us remove many more `set_option` in further files that this PR doesn't touch.
Add `QuadraticAlgebra.trace`, the trace of a quadratic algebra as an `R`-linear map. (Also fixes two typos in docstrings.)
…t` (#42251) This PR removes the `setOfSucc` -> `setOfPred` translation from the `to_dual` abbreviation dictionary, since the `ofSucc` -> `ofPred` translation already implies it.
This is in preparation for disallowing `NormedSpace` in `Analysis.Seminorm`.
…ear in the type (#42228) This PR fixes a bug in `to_dual`/`to_additive` that makes it impossible to use it on a structure where a universe level doesn't appear in its type.
… (#42303) This PR adds a universe annotation in `algΓAlgSpecAdjunction`, which was seemingly forgotten. This speeds it up by more that 10x. In the rest of the file, the universe is already specified everywhere. For an explanation of why a universe metavariable can cause such an enormous slowdown, see leanprover/lean4#10414
…representations (#42151) Add a missing surjectivity lemma `surjective_or_eq_zero` for irreducible representations, parallel to the existing `injective_or_eq_zero` `bijective_or_eq_zero`.
…f instead of aesop (#41870) The file speeds up by 25%, with significant impact on readability.
This PR adds the config option `linter.style.header.license` to the header linter. This allows downstream projects to use the linter on their projects even if they need to specify a different license or a different filename for the license.
Replace the `CommRing` instance with `Ring`.
…orsion free to faithful smul (#41379) This PR removes some `IsDomain` assumptions by generalizing `Module.IsTorsionFree` to `FaithfulSMul`. (As @SnirBroshi pointed out in the comments, this is not quite a generalization when the top ring is the zero ring, but this never arises in practice). Co-authored-by: tb65536 <thomas.l.browning@gmail.com>
After [batteries#1927](leanprover-community/batteries#1927) is merged: - [x] Merge leanprover-community/mathlib4:master - [x] Edit the lakefile to point to leanprover-community/batteries:main - [x] Run lake update batteries - [ ] Wait for CI and merge Co-authored-by: mathlib-nightly-testing[bot] <mathlib-nightly-testing[bot]@users.noreply.github.com>
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Automated daily sync from
leanprover-community/mathlib4@master.1f8806b67d6f09e6d2552c031e6d3a3171016116Auto-merges to
masteronceCI (self-hosted)passes. Regenerateddaily until merged or until a conflict appears.
Note
Medium Risk
Large automated sync with widespread category-theory defeq/elaboration changes that can affect downstream proof stability; quadratic-algebra API additions and renames are localized but user-visible.
Overview
Daily mathlib4 upstream merge (~14 commits) touching category theory, algebra, and analysis.
Category theory (bulk of the diff): Many cone/limit/adjunction/equivalence definitions gain
@[implicit_reducible]and lose scatteredset_option backward.isDefEq.respectTransparency/backward.defeqAttrib.useBackwardblocks—an elaboration/definitional-equality strategy cleanup across limits, comma categories, opposites, and related files.Quadratic algebras: Adds
QuadraticAlgebra.traceas anR-linear map with simp lemmas,sub_star, and characteristic-equation identities; fixes thestardocstring to usex + b * y; renamesnorm_mem_nonZero_divisors_iff→norm_mem_nonZeroDivisors_iff.Other math changes:
FGModuleCat.EssentiallySmallweakensCommRingtoRing;LocallyConvex.Basicnarrows imports and addsassert_not_exists NormedSpace;Seminormconvex/restrict-scalars sections useNormSMulClass/SMulinstead of fullNormedSpace;algΓAlgSpecAdjunctiongets an explicitCommRingCat.{u}universe.Minor: Clifford counterexample uses
sum_applyinstead ofQuadraticMap.sum_apply.Reviewed by Cursor Bugbot for commit 4ea40cd. Bugbot is set up for automated code reviews on this repo. Configure here.