Sync upstream mathlib4 (2026-08-03, +4 commits) - #93
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This PR uses `to_dual` to generate stuff about `HasColimit` from `HasLimit`.
…tegrability lemmas (#40587)
Generalization PR:
- IntervalIntegrable.{smul_continuousOn, continuousOn_smul}, IntegrableOn.{continuousOn_smul, smul_continuousOn} (+ _of_subset forms), and the LocallyIntegrableOn analogues now need only IsBoundedSMul 𝕜 E instead of NormSMulClass 𝕜 E. (Every NormSMulClass is an IsBoundedSMul, so all existing uses still apply; over a NormedDivisionRing they coincide.) This works because these reduce to Integrable.bdd_smul/bdd_mul, which only need IsBoundedSMul, using IntegrableOn f s μ = Integrable f (μ.restrict s).
- integrableOn_rpow_mul_exp_neg_rpow / …_mul_rpow are generalized from 1 ≤ p to 0 < p (via u = xᵖ), matching the 0 < p of integral_rpow_mul_exp_neg_rpow.
… at least two leaves (#41669) Generalizes [`IsTree.exists_vert_degree_one_of_nontrivial`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Combinatorics/SimpleGraph/Acyclic.html#SimpleGraph.IsTree.exists_vert_degree_one_of_nontrivial). Co-authored-by: robo7179 <abhinavn004@gmail.com>
We use `IsApply` classes for `SlashInvariantForm`, `ModularForm` and `CuspForm` at the same time to avoid temporary name clashes and since they are not used as widely as `LinearMap` and `ContinuousLinearMap` for example.
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Automated daily sync from
leanprover-community/mathlib4@master.9c0c555bde5a8277cd36dc4dc6dfe2a5a77a2b11Auto-merges to
masteronceCI (self-hosted)passes. Regenerateddaily until merged or until a conflict appears.
Note
Medium Risk
The large
HasLimits@[to_dual]refactor and generalized Gaussian integrability hypotheses could affect dependent proofs in a synced fork; most other changes are proof simplifications or API deprecations with replacements.Overview
Daily mathlib4 upstream merge (4 commits).
Category theory limits —
HasLimits.leanis reorganized so colimit API (HasColimit,colimit,colim, etc.) lives alongside the limit section and is generated via@[to_dual], removing a large hand-duplicatedColimitblock. Related touch-ups:ToDualname hints forlim/colim,const_mapbinder/to_dualonconst_map_app,rflin finite coproduct preservation, and aReflexivelemma unfoldingcolimit.cocone_ι.Analysis —
GammaIntegral_convergentandintegrableOn_rpow_mul_exp_neg_rpoware reproved more briefly; the latter now assumes0 < p(not onlyp ≥ 1) by reducing to the Γ-integral with a change of variables.Modular forms —
ModularForm,CuspForm, andSlashInvariantFormuseFunLike/IsAddApply-style instances andfast_instance%for algebraic structures; oldercoe_*lemmas are deprecated.Other — nontrivial trees get
exists_ne_and_degree_eq_one; walk lemmas gaingrindhints; locally integrablesmulusesIsBoundedSMulinstead ofNormSMulClass; doc notes about manual limit/colimit duplication are dropped fromIsLimit/HasLimits.Reviewed by Cursor Bugbot for commit 2063127. Bugbot is set up for automated code reviews on this repo. Configure here.