Loogle!
Result
Found 10533 definitions mentioning List. Of these, 16 match your pattern(s).
- List.modifyHead 📋 Init.Data.List.Basic
{α : Type u} (f : α → α) : List α → List α - List.map 📋 Init.Data.List.Basic
{α : Type u} {β : Type v} (f : α → β) : List α → List β - List.mapTR 📋 Init.Data.List.Basic
{α : Type u} {β : Type v} (f : α → β) (as : List α) : List β - List.modify 📋 Init.Data.List.Basic
{α : Type u} (f : α → α) : ℕ → List α → List α - List.mapTR.loop 📋 Init.Data.List.Basic
{α : Type u} {β : Type v} (f : α → β) : List α → List β → List β - List.map_eq_mapTR 📋 Init.Data.List.Basic
: @List.map = @List.mapTR - List.mapMono 📋 Init.Data.List.BasicAux
{α : Type u_1} (as : List α) (f : α → α) : List α - List.modifyTR 📋 Init.Data.List.Impl
{α : Type u_1} (f : α → α) (n : ℕ) (l : List α) : List α - List.modifyTR.go 📋 Init.Data.List.Impl
{α : Type u_1} (f : α → α) : List α → ℕ → Array α → List α - List.modify_eq_modifyTR 📋 Init.Data.List.Impl
: @List.modify = @List.modifyTR - List.modifyLast 📋 Batteries.Data.List.Basic
{α : Type u_1} (f : α → α) (l : List α) : List α - List.modifyNth 📋 Batteries.Data.List.Basic
{α : Type u} (f : α → α) : ℕ → List α → List α - List.modifyLast.go 📋 Batteries.Data.List.Basic
{α : Type u_1} (f : α → α) : List α → Array α → List α - Lean.SCC.scc 📋 Lean.Util.SCC
{α : Type} [BEq α] [Hashable α] (vertices : List α) (successorsOf : α → List α) : List (List α) - List.iterateTR.loop 📋 Mathlib.Data.List.Defs
{α : Type u_1} (f : α → α) (a : α) (n : ℕ) (l : List α) : List α - List.mapAsyncChunked 📋 Mathlib.Data.List.Defs
{α : Type u_7} {β : Type u_8} (f : α → β) (xs : List α) (chunk_size : ℕ := 1024) : List β
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:
By constant:
🔍Real.sin
finds all lemmas whose statement somehow mentions the sine function.By lemma name substring:
🔍"differ"
finds all lemmas that have"differ"
somewhere in their lemma name.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
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 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
🔍 Real.sin, "two", tsum, _ * _, _ ^ _, |- _ < _ → _
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 791b5a0
serving mathlib revision dcd0c54