class Lean.ToExpr (α : Type u) : Type u

We use the ToExpr type class to convert values of type α into expressions that denote these values in Lean. Example:

toExpr true = .const ``Bool.true []

• toExpr : α → Lean.Expr

  Convert a value a : α into an expression that denotes a

• toTypeExpr : Lean.Expr

  Expression representing the type α

instance Lean.instToExprNat : Lean.ToExpr Nat

Equations

• Lean.instToExprNat = { toExpr := Lean.mkNatLit, toTypeExpr := Lean.mkConst `Nat }

instance Lean.instToExprInt : Lean.ToExpr Int

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def Lean.instToExprInt.mkNat (n : Nat) : Lean.Expr

Equations

• Lean.instToExprInt.mkNat n = Lean.mkApp3 (Lean.Expr.const `OfNat.ofNat [0]) (Lean.Expr.const `Int []) (Lean.mkRawNatLit n) ((Lean.Expr.const `instOfNat []).app (Lean.mkRawNatLit n))

instance Lean.instToExprFin {n : Nat} : Lean.ToExpr (Fin n)

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instance Lean.instToExprBitVec {n : Nat} : Lean.ToExpr (BitVec n)

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instance Lean.instToExprUInt8 : Lean.ToExpr UInt8

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instance Lean.instToExprUInt16 : Lean.ToExpr UInt16

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instance Lean.instToExprUInt32 : Lean.ToExpr UInt32

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instance Lean.instToExprUInt64 : Lean.ToExpr UInt64

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instance Lean.instToExprUSize : Lean.ToExpr USize

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instance Lean.instToExprBool : Lean.ToExpr Bool

Equations

• Lean.instToExprBool = { toExpr := fun (b : Bool) => if b = true then Lean.mkConst `Bool.true else Lean.mkConst `Bool.false, toTypeExpr := Lean.mkConst `Bool }

instance Lean.instToExprChar : Lean.ToExpr Char

Equations

• Lean.instToExprChar = { toExpr := fun (c : Char) => Lean.mkApp (Lean.mkConst `Char.ofNat) (Lean.mkRawNatLit c.toNat), toTypeExpr := Lean.mkConst `Char }

instance Lean.instToExprString : Lean.ToExpr String

Equations

• Lean.instToExprString = { toExpr := Lean.mkStrLit, toTypeExpr := Lean.mkConst `String }

instance Lean.instToExprUnit : Lean.ToExpr Unit

Equations

• Lean.instToExprUnit = { toExpr := fun (x : Unit) => Lean.mkConst `Unit.unit, toTypeExpr := Lean.mkConst `Unit }

instance Lean.instToExprFilePath : Lean.ToExpr System.FilePath

Equations

• Lean.instToExprFilePath = { toExpr := fun (p : System.FilePath) => Lean.mkApp (Lean.mkConst `System.FilePath.mk) (Lean.toExpr p.toString), toTypeExpr := Lean.mkConst `System.FilePath }

instance Lean.instToExprName : Lean.ToExpr Lean.Name

Equations

• Lean.instToExprName = { toExpr := Lean.Name.toExprAux✝, toTypeExpr := Lean.mkConst `Lean.Name }

instance Lean.instToExprOption {α : Type u_1} [Lean.ToExpr α] : Lean.ToExpr (Option α)

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instance Lean.instToExprList {α : Type u_1} [Lean.ToExpr α] : Lean.ToExpr (List α)

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instance Lean.instToExprArray {α : Type u_1} [Lean.ToExpr α] : Lean.ToExpr (Array α)

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instance Lean.instToExprProd {α : Type u_1} {β : Type u_2} [Lean.ToExpr α] [Lean.ToExpr β] : Lean.ToExpr (α × β)

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instance Lean.instToExprLiteral : Lean.ToExpr Lean.Literal

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instance Lean.instToExprFVarId : Lean.ToExpr Lean.FVarId

Equations

• Lean.instToExprFVarId = { toExpr := fun (fvarId : Lean.FVarId) => Lean.mkApp (Lean.mkConst `Lean.FVarId.mk) (Lean.toExpr fvarId.name), toTypeExpr := Lean.mkConst `Lean.FVarId }

instance Lean.instToExprPreresolved : Lean.ToExpr Lean.Syntax.Preresolved

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def Lean.Expr.toCtorIfLit : Lean.Expr → Lean.Expr

Equations

• (Lean.Expr.lit (Lean.Literal.natVal v)).toCtorIfLit = if (v == 0) = true then Lean.mkConst `Nat.zero else Lean.mkApp (Lean.mkConst `Nat.succ) (Lean.mkRawNatLit (v - 1))
• (Lean.Expr.lit (Lean.Literal.strVal v)).toCtorIfLit = Lean.mkApp (Lean.mkConst `String.mk) (Lean.toExpr v.toList)
• x✝.toCtorIfLit = x✝