Loogle!
Error
unknown identifier 'iUnion'
Did you maybe mean
- π
"iUnion"
- π
Set.iUnion
- π
Set.Finite.iUnion
- π
Filter.EventuallyEq.iUnion
- π
Filter.EventuallyLE.iUnion
- π
TopologicalSpace.IsSeparable.iUnion
- π
IsGΞ΄.iUnion
- π
MeasureTheory.OuterMeasure.iUnion
- π
MeasurableSet.iUnion
- π
MeasurableSpace.GenerateMeasurable.iUnion
- π
MeasurableSpace.GenerateMeasurable.below.iUnion
- π
MeasurableSpace.DynkinSystem.GenerateHas.iUnion
- π
MeasurableSpace.DynkinSystem.GenerateHas.below.iUnion
- π
MeasureTheory.NullMeasurableSet.iUnion
- π
AEMeasurable.iUnion
- π
MeasureTheory.AEStronglyMeasurable.iUnion
- π
Absorbs.iUnion
- π
TopologicalSpace.NoetherianSpace.iUnion
- π
BoxIntegral.Prepartition.iUnion
- π
BoxIntegral.TaggedPrepartition.iUnion
- π
PolishSpace.IsClopenable.iUnion
- π
MeasureTheory.AnalyticSet.iUnion
- π
MeasureTheory.MeasurablySeparable.iUnion
- π
IndexedPartition.iUnion
- π
ProbabilityTheory.Kernel.IndepSets.iUnion
- π
ProbabilityTheory.IndepSets.iUnion
- π
ProbabilityTheory.CondIndepSets.iUnion
- π
BaireMeasurableSet.iUnion
About
Loogle searches Lean and Mathlib definitions and theorems.
You can use Loogle from witin the Lean4 VSCode language extension
using (by default) Ctrl-K Ctrl-S. You can also try 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:
By constant:
πReal.sin
finds all lemmas whose statement somehow mentions the sine function.By lemma name substring:
π"differ"
finds all lemmas that have"differ"
somewhere in their lemma name.By subexpression:
π_ * (_ ^ _)
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
πReal.sqrt ?a * Real.sqrt ?a
If the pattern has parameters, they are matched in any order. Both of these will find
List.map
:
π(?a -> ?b) -> List ?a -> List ?b
πList ?a -> (?a -> ?b) -> List ?b
By main conclusion:
π|- tsum _ = _ * tsum _
finds all lemmas where the conclusion (the subexpression to the right of allβ
andβ
) 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,
π|- _ < _ β tsum _ < tsum _
will findtsum_lt_tsum
even though the hypothesisf 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
π Real.sin, "two", tsum, _ * _, _ ^ _, |- _ < _ β _
woould 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 7eaed1d
serving mathlib revision 329f679