inductive Lean.AssocList (α : Type u) (β : Type v) : Type (max u v)

List-like type to avoid extra level of indirection

• nil: {α : Type u} → {β : Type v} → Lean.AssocList α β
• cons: {α : Type u} → {β : Type v} → α → β → Lean.AssocList α β → Lean.AssocList α β

instance Lean.instInhabitedAssocList : {a : Type u_1} → {a_1 : Type u_2} → Inhabited (Lean.AssocList a a_1)

Equations

• Lean.instInhabitedAssocList = { default := Lean.AssocList.nil }

@[inline, reducible]

abbrev Lean.AssocList.empty {α : Type u} {β : Type v} : Lean.AssocList α β

Equations

• Lean.AssocList.empty = Lean.AssocList.nil

instance Lean.AssocList.instEmptyCollectionAssocList {α : Type u} {β : Type v} : EmptyCollection (Lean.AssocList α β)

Equations

• Lean.AssocList.instEmptyCollectionAssocList = { emptyCollection := Lean.AssocList.empty }

@[inline, reducible]

abbrev Lean.AssocList.insert {α : Type u} {β : Type v} (m : Lean.AssocList α β) (k : α) (v : β) : Lean.AssocList α β

Equations

• Lean.AssocList.insert m k v = Lean.AssocList.cons k v m

def Lean.AssocList.isEmpty {α : Type u} {β : Type v} : Lean.AssocList α β → Bool

Equations

• Lean.AssocList.isEmpty x = match x with | Lean.AssocList.nil => true | x => false

@[specialize #[]]

def Lean.AssocList.foldlM {α : Type u} {β : Type v} {δ : Type w} {m : Type w → Type w} [Monad m] (f : δ → α → β → m δ) (init : δ) : Lean.AssocList α β → m δ

Equations

• Lean.AssocList.foldlM f x Lean.AssocList.nil = pure x
• Lean.AssocList.foldlM f x (Lean.AssocList.cons a b es) = do let d ← f x a b Lean.AssocList.foldlM f d es

@[inline]

def Lean.AssocList.foldl {α : Type u} {β : Type v} {δ : Type w} (f : δ → α → β → δ) (init : δ) (as : Lean.AssocList α β) : δ

Equations

• Lean.AssocList.foldl f init as = Id.run (Lean.AssocList.foldlM f init as)

def Lean.AssocList.toList {α : Type u} {β : Type v} (as : Lean.AssocList α β) : List (α × β)

Equations

• Lean.AssocList.toList as = List.reverse (Lean.AssocList.foldl (fun (r : List (α × β)) (a : α) (b : β) => (a, b) :: r) [] as)

@[specialize #[]]

def Lean.AssocList.forM {α : Type u} {β : Type v} {m : Type w → Type w} [Monad m] (f : α → β → m PUnit) : Lean.AssocList α β → m PUnit

Equations

• Lean.AssocList.forM f Lean.AssocList.nil = pure PUnit.unit
• Lean.AssocList.forM f (Lean.AssocList.cons a b es) = do f a b Lean.AssocList.forM f es

def Lean.AssocList.mapKey {α : Type u} {β : Type v} {δ : Type w} (f : α → δ) : Lean.AssocList α β → Lean.AssocList δ β

Equations

• Lean.AssocList.mapKey f Lean.AssocList.nil = Lean.AssocList.nil
• Lean.AssocList.mapKey f (Lean.AssocList.cons a b es) = Lean.AssocList.cons (f a) b (Lean.AssocList.mapKey f es)

def Lean.AssocList.mapVal {α : Type u} {β : Type v} {δ : Type w} (f : β → δ) : Lean.AssocList α β → Lean.AssocList α δ

Equations

• Lean.AssocList.mapVal f Lean.AssocList.nil = Lean.AssocList.nil
• Lean.AssocList.mapVal f (Lean.AssocList.cons a b es) = Lean.AssocList.cons a (f b) (Lean.AssocList.mapVal f es)

def Lean.AssocList.findEntry? {α : Type u} {β : Type v} [BEq α] (a : α) : Lean.AssocList α β → Option (α × β)

Equations

• Lean.AssocList.findEntry? a Lean.AssocList.nil = none
• Lean.AssocList.findEntry? a (Lean.AssocList.cons a_1 b es) = match a_1 == a with | true => some (a_1, b) | false => Lean.AssocList.findEntry? a es

def Lean.AssocList.find? {α : Type u} {β : Type v} [BEq α] (a : α) : Lean.AssocList α β → Option β

Equations

• Lean.AssocList.find? a Lean.AssocList.nil = none
• Lean.AssocList.find? a (Lean.AssocList.cons a_1 b es) = match a_1 == a with | true => some b | false => Lean.AssocList.find? a es

def Lean.AssocList.contains {α : Type u} {β : Type v} [BEq α] (a : α) : Lean.AssocList α β → Bool

Equations

• Lean.AssocList.contains a Lean.AssocList.nil = false
• Lean.AssocList.contains a (Lean.AssocList.cons a_1 b es) = (a_1 == a || Lean.AssocList.contains a es)

def Lean.AssocList.replace {α : Type u} {β : Type v} [BEq α] (a : α) (b : β) : Lean.AssocList α β → Lean.AssocList α β

Equations

• One or more equations did not get rendered due to their size.
• Lean.AssocList.replace a b Lean.AssocList.nil = Lean.AssocList.nil

def Lean.AssocList.erase {α : Type u} {β : Type v} [BEq α] (a : α) : Lean.AssocList α β → Lean.AssocList α β

Equations

• Lean.AssocList.erase a Lean.AssocList.nil = Lean.AssocList.nil
• Lean.AssocList.erase a (Lean.AssocList.cons a_1 b es) = match a_1 == a with | true => es | false => Lean.AssocList.cons a_1 b (Lean.AssocList.erase a es)

def Lean.AssocList.any {α : Type u} {β : Type v} (p : α → β → Bool) : Lean.AssocList α β → Bool

Equations

• Lean.AssocList.any p Lean.AssocList.nil = false
• Lean.AssocList.any p (Lean.AssocList.cons a b es) = (p a b || Lean.AssocList.any p es)

def Lean.AssocList.all {α : Type u} {β : Type v} (p : α → β → Bool) : Lean.AssocList α β → Bool

Equations

• Lean.AssocList.all p Lean.AssocList.nil = true
• Lean.AssocList.all p (Lean.AssocList.cons a b es) = (p a b && Lean.AssocList.all p es)

@[inline]

def Lean.AssocList.forIn {α : Type u} {β : Type v} {δ : Type w} {m : Type w → Type w'} [Monad m] (as : Lean.AssocList α β) (init : δ) (f : α × β → δ → m (ForInStep δ)) : m δ

Equations

• Lean.AssocList.forIn as init f = Lean.AssocList.forIn.loop f init as

@[specialize #[]]

def Lean.AssocList.forIn.loop {α : Type u} {β : Type v} {δ : Type w} {m : Type w → Type w'} [Monad m] (f : α × β → δ → m (ForInStep δ)) : δ → Lean.AssocList α β → m δ

Equations

• One or more equations did not get rendered due to their size.
• Lean.AssocList.forIn.loop f x Lean.AssocList.nil = pure x

instance Lean.AssocList.instForInAssocListProd {α : Type u} {β : Type v} {m : Type w → Type w} : ForIn m (Lean.AssocList α β) (α × β)

Equations

• Lean.AssocList.instForInAssocListProd = { forIn := fun {β_1 : Type w} [Monad m] => Lean.AssocList.forIn }

def List.toAssocList' {α : Type u} {β : Type v} : List (α × β) → Lean.AssocList α β

Equations

• List.toAssocList' [] = Lean.AssocList.nil
• List.toAssocList' ((a, b) :: es) = Lean.AssocList.cons a b (List.toAssocList' es)