Loogle!

Error

unknown identifier 'max'

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• 🔍 Nat.cast (Int.toNat _), "max"
• 🔍 Nat.cast (Int.toNat _), Max.max
• 🔍 Nat.cast (Int.toNat _), Task.Priority.max
• 🔍 Nat.cast (Int.toNat _), Nat.max
• 🔍 Nat.cast (Int.toNat _), Option.max
• 🔍 Nat.cast (Int.toNat _), Std.Packages.LinearOrderOfLEArgs.max
• 🔍 Nat.cast (Int.toNat _), Std.Packages.LinearOrderOfOrdArgs.max
• 🔍 Nat.cast (Int.toNat _), Lean.Try.Config.max
• 🔍 Nat.cast (Int.toNat _), Std.DTreeMap.max
• 🔍 Nat.cast (Int.toNat _), Std.DTreeMap.Const.max
• 🔍 Nat.cast (Int.toNat _), Std.TreeMap.max
• 🔍 Nat.cast (Int.toNat _), Std.TreeSet.max
• 🔍 Nat.cast (Int.toNat _), Std.ExtTreeSet.max
• 🔍 Nat.cast (Int.toNat _), Std.Sat.AIG.RelabelNat.State.max
• 🔍 Nat.cast (Int.toNat _), Std.Time.Internal.Bounded.LE.max
• 🔍 Nat.cast (Int.toNat _), Lean.Level.max
• 🔍 Nat.cast (Int.toNat _), Lean.Level.PP.Result.max
• 🔍 Nat.cast (Int.toNat _), Lean.ToLevel.max
• 🔍 Nat.cast (Int.toNat _), Lean.Parser.Level.max
• 🔍 Nat.cast (Int.toNat _), Lean.Meta.DiagSummary.max
• 🔍 Nat.cast (Int.toNat _), Batteries.BinaryHeap.max
• 🔍 Nat.cast (Int.toNat _), Char.max
• 🔍 Nat.cast (Int.toNat _), Lean.RBMap.max
• 🔍 Nat.cast (Int.toNat _), Lean.RBNode.max
• 🔍 Nat.cast (Int.toNat _), Lean.RBTree.max
• 🔍 Nat.cast (Int.toNat _), Lean.Meta.Rewrites.RewriteResultConfig.max
• 🔍 Nat.cast (Int.toNat _), Antitone.max
• 🔍 Nat.cast (Int.toNat _), AntitoneOn.max
• 🔍 Nat.cast (Int.toNat _), Monotone.max
• 🔍 Nat.cast (Int.toNat _), MonotoneOn.max
• 🔍 Nat.cast (Int.toNat _), Mathlib.Ineq.max
• 🔍 Nat.cast (Int.toNat _), Finset.max
• 🔍 Nat.cast (Int.toNat _), IsMaxFilter.max
• 🔍 Nat.cast (Int.toNat _), IsMaxOn.max
• 🔍 Nat.cast (Int.toNat _), IsMinFilter.max
• 🔍 Nat.cast (Int.toNat _), IsMinOn.max
• 🔍 Nat.cast (Int.toNat _), IsLocalMax.max
• 🔍 Nat.cast (Int.toNat _), IsLocalMaxOn.max
• 🔍 Nat.cast (Int.toNat _), IsLocalMin.max
• 🔍 Nat.cast (Int.toNat _), IsLocalMinOn.max
• 🔍 Nat.cast (Int.toNat _), Continuous.max
• 🔍 Nat.cast (Int.toNat _), Filter.Tendsto.max
• 🔍 Nat.cast (Int.toNat _), CategoryTheory.IsFiltered.max
• 🔍 Nat.cast (Int.toNat _), Module.Baer.ExtensionOf.max
• 🔍 Nat.cast (Int.toNat _), CategoryTheory.IsCardinalFiltered.max
• 🔍 Nat.cast (Int.toNat _), LipschitzWith.max
• 🔍 Nat.cast (Int.toNat _), LocallyLipschitz.max
• 🔍 Nat.cast (Int.toNat _), AEMeasurable.max
• 🔍 Nat.cast (Int.toNat _), Measurable.max
• 🔍 Nat.cast (Int.toNat _), CategoryTheory.IsFiltered.filteredClosure.max
• 🔍 Nat.cast (Int.toNat _), CategoryTheory.IsFiltered.filteredClosure.below.max
• 🔍 Nat.cast (Int.toNat _), MeasureTheory.IsStoppingTime.max

About

Loogle searches Lean and Mathlib definitions and theorems.

You can use Loogle from within the Lean4 VSCode language extension using (by default) Ctrl-K Ctrl-S. You can also try the #loogle command from LeanSearchClient, the CLI version, the Loogle VS Code extension, the lean.nvim integration or the Zulip bot.

Usage

Loogle finds definitions and lemmas in various ways:

1. By constant:
   🔍 Real.sin
   finds all lemmas whose statement somehow mentions the sine function.

2. By lemma name substring:
   🔍 "differ"
   finds all lemmas that have "differ" somewhere in their lemma name.

3. By subexpression:
   🔍 _ * (_ ^ _)
   finds all lemmas whose statements somewhere include a product where the second argument is raised to some power.

   The pattern can also be non-linear, as in
   🔍 Real.sqrt ?a * Real.sqrt ?a

   If the pattern has parameters, they are matched in any order. Both of these will find List.map:
   🔍 (?a -> ?b) -> List ?a -> List ?b
   🔍 List ?a -> (?a -> ?b) -> List ?b

4. By main conclusion:
   🔍 |- tsum _ = _ * tsum _
   finds all lemmas where the conclusion (the subexpression to the right of all → and ∀) has the given shape.

   As before, if the pattern has parameters, they are matched against the hypotheses of the lemma in any order; for example,
   🔍 |- _ < _ → tsum _ < tsum _
   will find tsum_lt_tsum even though the hypothesis f i < g i is not the last.

If you pass more than one such search filter, separated by commas Loogle will return lemmas which match all of them. The search
🔍 Real.sin, "two", tsum, _ * _, _ ^ _, |- _ < _ → _
would find all lemmas which mention the constants Real.sin and tsum, have "two" as a substring of the lemma name, include a product and a power somewhere in the type, and have a hypothesis of the form _ < _ (if there were any such lemmas). Metavariables (?a) are assigned independently in each filter.

The #lucky button will directly send you to the documentation of the first hit.

Source code

You can find the source code for this service at https://github.com/nomeata/loogle. The https://loogle.lean-lang.org/ service is provided by the Lean FRO.

This is Loogle revision 187ba29 serving mathlib revision 78e98e0