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Lean4Expr

Enum Lean4Expr 

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pub enum Lean4Expr {
Show 26 variants Var(String), NatLit(u64), IntLit(i64), BoolLit(bool), StrLit(String), FloatLit(f64), Hole, Sorry, Panic(String), App(Box<Lean4Expr>, Box<Lean4Expr>), Lambda(String, Option<Box<Lean4Type>>, Box<Lean4Expr>), Pi(String, Box<Lean4Type>, Box<Lean4Expr>), Let(String, Option<Box<Lean4Type>>, Box<Lean4Expr>, Box<Lean4Expr>), LetRec(String, Box<Lean4Expr>, Box<Lean4Expr>), Match(Box<Lean4Expr>, Vec<(Lean4Pattern, Lean4Expr)>), If(Box<Lean4Expr>, Box<Lean4Expr>, Box<Lean4Expr>), Do(Vec<Lean4DoStmt>), Have(String, Box<Lean4Type>, Box<Lean4Expr>, Box<Lean4Expr>), Show(Box<Lean4Type>, Box<Lean4Expr>), Calc(Vec<Lean4CalcStep>), ByTactic(Vec<String>), Ascription(Box<Lean4Expr>, Box<Lean4Type>), Tuple(Vec<Lean4Expr>), AnonymousCtor(Vec<Lean4Expr>), Proj(Box<Lean4Expr>, String), StructLit(String, Vec<(String, Lean4Expr)>),
}
Expand description

Lean 4 expression representation.

Variants§

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Var(String)

Variable reference: x

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NatLit(u64)

Natural number literal: 42

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IntLit(i64)

Integer literal: -5

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BoolLit(bool)

Boolean literal: true / false

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StrLit(String)

String literal: "hello"

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FloatLit(f64)

Float literal: 3.14

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Hole

Hole / sorry placeholder: _

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Sorry

sorry

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Panic(String)

Panic: panic! "message"

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App(Box<Lean4Expr>, Box<Lean4Expr>)

Function application: f x

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Lambda(String, Option<Box<Lean4Type>>, Box<Lean4Expr>)

Lambda: fun x => body

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Pi(String, Box<Lean4Type>, Box<Lean4Expr>)

Dependent function type (Pi): (x : α) → β x

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Let(String, Option<Box<Lean4Type>>, Box<Lean4Expr>, Box<Lean4Expr>)

Let binding: let x := e; body

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LetRec(String, Box<Lean4Expr>, Box<Lean4Expr>)

Recursive let: let rec f := ...

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Match(Box<Lean4Expr>, Vec<(Lean4Pattern, Lean4Expr)>)

Pattern match: match e with | p => b | ...

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If(Box<Lean4Expr>, Box<Lean4Expr>, Box<Lean4Expr>)

If-then-else: if c then t else e

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Do(Vec<Lean4DoStmt>)

Do notation block

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Have(String, Box<Lean4Type>, Box<Lean4Expr>, Box<Lean4Expr>)

have h : T := proof; rest

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Show(Box<Lean4Type>, Box<Lean4Expr>)

show T from e

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Calc(Vec<Lean4CalcStep>)

Calc block

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ByTactic(Vec<String>)

Tactic block: by tac1; tac2; ...

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Ascription(Box<Lean4Expr>, Box<Lean4Type>)

Type ascription: (e : T)

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Tuple(Vec<Lean4Expr>)

Tuple: (a, b)

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AnonymousCtor(Vec<Lean4Expr>)

Anonymous constructor: ⟨a, b⟩

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Proj(Box<Lean4Expr>, String)

Projection: e.1, e.field

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StructLit(String, Vec<(String, Lean4Expr)>)

Structure literal: { field := val, ... }

Trait Implementations§

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impl Clone for Lean4Expr

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fn clone(&self) -> Lean4Expr

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for Lean4Expr

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl Display for Lean4Expr

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl PartialEq for Lean4Expr

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fn eq(&self, other: &Lean4Expr) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl StructuralPartialEq for Lean4Expr

Auto Trait Implementations§

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.