Loogle!

Result

Found 20 declarations mentioning Stream'.WSeq.map.

• Stream'.WSeq.map 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} (f : α → β) : Stream'.WSeq α → Stream'.WSeq β
• Stream'.WSeq.map_id 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} (s : Stream'.WSeq α) : Stream'.WSeq.map id s = s
• Stream'.WSeq.map_nil 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} (f : α → β) : Stream'.WSeq.map f Stream'.WSeq.nil = Stream'.WSeq.nil
• Stream'.WSeq.map_ret 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} (f : α → β) (a : α) : Stream'.WSeq.map f (Stream'.WSeq.ret a) = Stream'.WSeq.ret (f a)
• Stream'.WSeq.map.eq_1 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} (f : α → β) : Stream'.WSeq.map f = Stream'.Seq.map (Option.map f)
• Stream'.WSeq.map_think 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} (f : α → β) (s : Stream'.WSeq α) : Stream'.WSeq.map f s.think = (Stream'.WSeq.map f s).think
• Stream'.WSeq.map_cons 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} (f : α → β) (a : α) (s : Stream'.WSeq α) : Stream'.WSeq.map f (Stream'.WSeq.cons a s) = Stream'.WSeq.cons (f a) (Stream'.WSeq.map f s)
• Stream'.WSeq.mem_map 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} (f : α → β) {a : α} {s : Stream'.WSeq α} : a ∈ s → f a ∈ Stream'.WSeq.map f s
• Stream'.WSeq.map_join 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} (f : α → β) (S : Stream'.WSeq (Stream'.WSeq α)) : Stream'.WSeq.map f S.join = (Stream'.WSeq.map (Stream'.WSeq.map f) S).join
• Stream'.WSeq.map_append 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} (f : α → β) (s t : Stream'.WSeq α) : Stream'.WSeq.map f (s.append t) = (Stream'.WSeq.map f s).append (Stream'.WSeq.map f t)
• Stream'.WSeq.map_comp 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} {γ : Type w} (f : α → β) (g : β → γ) (s : Stream'.WSeq α) : Stream'.WSeq.map (g ∘ f) s = Stream'.WSeq.map g (Stream'.WSeq.map f s)
• Stream'.WSeq.exists_of_mem_map 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} {f : α → β} {b : β} {s : Stream'.WSeq α} : b ∈ Stream'.WSeq.map f s → ∃ a ∈ s, f a = b
• Stream'.WSeq.destruct_map 📋 Mathlib.Data.WSeq.Basic
  {α : Type u} {β : Type v} (f : α → β) (s : Stream'.WSeq α) : (Stream'.WSeq.map f s).destruct = Computation.map (Option.map (Prod.map f (Stream'.WSeq.map f))) s.destruct
• Stream'.WSeq.join_map_ret 📋 Mathlib.Data.WSeq.Relation
  {α : Type u} (s : Stream'.WSeq α) : (Stream'.WSeq.map Stream'.WSeq.ret s).join ~ʷ s
• Stream'.WSeq.bind.eq_1 📋 Mathlib.Data.WSeq.Relation
  {α : Type u} {β : Type v} (s : Stream'.WSeq α) (f : α → Stream'.WSeq β) : s.bind f = (Stream'.WSeq.map f s).join
• Stream'.WSeq.join_join 📋 Mathlib.Data.WSeq.Relation
  {α : Type u} (SS : Stream'.WSeq (Stream'.WSeq (Stream'.WSeq α))) : SS.join.join ~ʷ (Stream'.WSeq.map Stream'.WSeq.join SS).join
• Stream'.WSeq.map_congr 📋 Mathlib.Data.WSeq.Relation
  {α : Type u} {β : Type v} (f : α → β) {s t : Stream'.WSeq α} (h : s ~ʷ t) : Stream'.WSeq.map f s ~ʷ Stream'.WSeq.map f t
• Stream'.WSeq.bind_ret 📋 Mathlib.Data.WSeq.Relation
  {α : Type u} {β : Type v} (f : α → β) (s : Stream'.WSeq α) : s.bind (Stream'.WSeq.ret ∘ f) ~ʷ Stream'.WSeq.map f s
• Stream'.WSeq.liftRel_map 📋 Mathlib.Data.WSeq.Relation
  {α : Type u} {β : Type v} {γ : Type w} {δ : Type u_1} (R : α → β → Prop) (S : γ → δ → Prop) {s1 : Stream'.WSeq α} {s2 : Stream'.WSeq β} {f1 : α → γ} {f2 : β → δ} (h1 : Stream'.WSeq.LiftRel R s1 s2) (h2 : ∀ {a : α} {b : β}, R a b → S (f1 a) (f2 b)) : Stream'.WSeq.LiftRel S (Stream'.WSeq.map f1 s1) (Stream'.WSeq.map f2 s2)
• Computation.map_parallel 📋 Mathlib.Data.Seq.Parallel
  {α : Type u} {β : Type v} (f : α → β) (S : Stream'.WSeq (Computation α)) : Computation.map f (Computation.parallel S) = Computation.parallel (Stream'.WSeq.map (Computation.map f) S)

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 ff04530 serving mathlib revision 8623f65