Implements (extended) λPure and λRc proposed in the article "Counting Immutable Beans", Sebastian Ullrich and Leonardo de Moura.

The Lean to IR transformation produces λPure code, and this part is implemented in C++. The procedures described in the paper above are implemented in Lean.

@[inline, reducible]

abbrev Lean.IR.FunId : Type

Function identifier

@[inline, reducible]

abbrev Lean.IR.Index : Type

structure Lean.IR.VarId : Type

• idx : Lean.IR.Index

Variable identifier

instance Lean.IR.instInhabitedVarId : Inhabited Lean.IR.VarId

structure Lean.IR.JoinPointId : Type

• idx : Lean.IR.Index

Join point identifier

instance Lean.IR.instInhabitedJoinPointId : Inhabited Lean.IR.JoinPointId

@[inline, reducible]

abbrev Lean.IR.Index.lt (a : Lean.IR.Index) (b : Lean.IR.Index) : Bool

instance Lean.IR.instBEqVarId : BEq Lean.IR.VarId

instance Lean.IR.instToStringVarId : ToString Lean.IR.VarId

instance Lean.IR.instToFormatVarId : Lean.ToFormat Lean.IR.VarId

instance Lean.IR.instHashableVarId : Hashable Lean.IR.VarId

instance Lean.IR.instBEqJoinPointId : BEq Lean.IR.JoinPointId

instance Lean.IR.instToStringJoinPointId : ToString Lean.IR.JoinPointId

instance Lean.IR.instToFormatJoinPointId : Lean.ToFormat Lean.IR.JoinPointId

instance Lean.IR.instHashableJoinPointId : Hashable Lean.IR.JoinPointId

@[inline, reducible]

abbrev Lean.IR.MData : Type

@[inline, reducible]

abbrev Lean.IR.MData.empty : Lean.IR.MData

inductive Lean.IR.IRType : Type

• float: Lean.IR.IRType
• uint8: Lean.IR.IRType
• uint16: Lean.IR.IRType
• uint32: Lean.IR.IRType
• uint64: Lean.IR.IRType
• usize: Lean.IR.IRType
• irrelevant: Lean.IR.IRType
• object: Lean.IR.IRType
• tobject: Lean.IR.IRType
• struct: Option Lake.Name → Array Lean.IR.IRType → Lean.IR.IRType
• union: Lake.Name → Array Lean.IR.IRType → Lean.IR.IRType

Low Level IR types. Most are self explanatory.

• usize represents the C++ size_t Type. We have it here because it is 32-bit in 32-bit machines, and 64-bit in 64-bit machines, and we want the C++ backend for our Compiler to generate platform independent code.

• irrelevant for Lean types, propositions and proofs.

• object a pointer to a value in the heap.

• tobject a pointer to a value in the heap or tagged pointer (i.e., the least significant bit is 1) storing a scalar value.

• struct and union are used to return small values (e.g., Option, Prod, Except) on the stack.

Remark: the RC operations for tobject are slightly more expensive because we first need to test whether the tobject is really a pointer or not.

Remark: the Lean runtime assumes that sizeof(void*) == sizeof(sizeT). Lean cannot be compiled on old platforms where this is not True.

Since values of type struct and union are only used to return values, We assume they must be used/consumed "linearly". We use the term "linear" here to mean "exactly once" in each execution. That is, given x : S, where S is a struct, then one of the following must hold in each (execution) branch. 1- x occurs only at a single ret x instruction. That is, it is being consumed by being returned. 2- x occurs only at a single ctor. That is, it is being "consumed" by being stored into another struct/union. 3- We extract (aka project) every single field of x exactly once. That is, we are consuming x by consuming each of one of its components. Minor refinement: we don't need to consume scalar fields or struct/union fields that do not contain object fields.

instance Lean.IR.instInhabitedIRType : Inhabited Lean.IR.IRType

partial def Lean.IR.IRType.beq : Lean.IR.IRType → Lean.IR.IRType → Bool

instance Lean.IR.IRType.instBEqIRType : BEq Lean.IR.IRType

def Lean.IR.IRType.isScalar : Lean.IR.IRType → Bool

def Lean.IR.IRType.isObj : Lean.IR.IRType → Bool

def Lean.IR.IRType.isIrrelevant : Lean.IR.IRType → Bool

def Lean.IR.IRType.isStruct : Lean.IR.IRType → Bool

def Lean.IR.IRType.isUnion : Lean.IR.IRType → Bool

inductive Lean.IR.Arg : Type

• var: Lean.IR.VarId → Lean.IR.Arg
• irrelevant: Lean.IR.Arg

Arguments to applications, constructors, etc. We use irrelevant for Lean types, propositions and proofs that have been erased. Recall that for a Function f, we also generate f._rarg which does not take irrelevant arguments. However, f._rarg is only safe to be used in full applications.

instance Lean.IR.instInhabitedArg : Inhabited Lean.IR.Arg

def Lean.IR.Arg.beq : Lean.IR.Arg → Lean.IR.Arg → Bool

instance Lean.IR.instBEqArg : BEq Lean.IR.Arg

@[export lean_ir_mk_var_arg]

def Lean.IR.mkVarArg (id : Lean.IR.VarId) : Lean.IR.Arg

inductive Lean.IR.LitVal : Type

• num: Nat → Lean.IR.LitVal
• str: String → Lean.IR.LitVal

def Lean.IR.LitVal.beq : Lean.IR.LitVal → Lean.IR.LitVal → Bool

instance Lean.IR.instBEqLitVal : BEq Lean.IR.LitVal

structure Lean.IR.CtorInfo : Type

• name : Lake.Name
• cidx : Nat
• size : Nat
• usize : Nat
• ssize : Nat

Constructor information.

• name is the Name of the Constructor in Lean.
• cidx is the Constructor index (aka tag).
• size is the number of arguments of type object/tobject.
• usize is the number of arguments of type usize.
• ssize is the number of bytes used to store scalar values.

Recall that a Constructor object contains a header, then a sequence of pointers to other Lean objects, a sequence of USize (i.e., size_t) scalar values, and a sequence of other scalar values.

instance Lean.IR.instReprCtorInfo : Repr Lean.IR.CtorInfo

def Lean.IR.CtorInfo.beq : Lean.IR.CtorInfo → Lean.IR.CtorInfo → Bool

instance Lean.IR.instBEqCtorInfo : BEq Lean.IR.CtorInfo

def Lean.IR.CtorInfo.isRef (info : Lean.IR.CtorInfo) : Bool

def Lean.IR.CtorInfo.isScalar (info : Lean.IR.CtorInfo) : Bool

inductive Lean.IR.Expr : Type

• ctor: Lean.IR.CtorInfo → Array Lean.IR.Arg → Lean.IR.Expr

  We use ctor mainly for constructing Lean object/tobject values lean_ctor_object in the runtime. This instruction is also used to creat struct and union return values. For union, only i.cidx is relevant. For struct, i is irrelevant.

• reset: Nat → Lean.IR.VarId → Lean.IR.Expr
• reuse: Lean.IR.VarId → Lean.IR.CtorInfo → Bool → Array Lean.IR.Arg → Lean.IR.Expr

  reuse x in ctor_i ys instruction in the paper.

• proj: Nat → Lean.IR.VarId → Lean.IR.Expr

  Extract the tobject value at Position sizeof(void*)*i from x. We also use proj for extracting fields from struct return values, and casting union return values.

• uproj: Nat → Lean.IR.VarId → Lean.IR.Expr

  Extract the Usize value at Position sizeof(void*)*i from x.

• sproj: Nat → Nat → Lean.IR.VarId → Lean.IR.Expr

  Extract the scalar value at Position sizeof(void*)*n + offset from x.

• fap: Lean.IR.FunId → Array Lean.IR.Arg → Lean.IR.Expr

  Full application.

• pap: Lean.IR.FunId → Array Lean.IR.Arg → Lean.IR.Expr

  Partial application that creates a pap value (aka closure in our nonstandard terminology).

• ap: Lean.IR.VarId → Array Lean.IR.Arg → Lean.IR.Expr

  Application. x must be a pap value.

• box: Lean.IR.IRType → Lean.IR.VarId → Lean.IR.Expr

  Given x : ty where ty is a scalar type, this operation returns a value of Type tobject. For small scalar values, the Result is a tagged pointer, and no memory allocation is performed.

• unbox: Lean.IR.VarId → Lean.IR.Expr

  Given x : [t]object, obtain the scalar value.

• lit: Lean.IR.LitVal → Lean.IR.Expr
• isShared: Lean.IR.VarId → Lean.IR.Expr

  Return 1 : uint8 Iff RC(x) > 1

@[export lean_ir_mk_ctor_expr]

def Lean.IR.mkCtorExpr (n : Lake.Name) (cidx : Nat) (size : Nat) (usize : Nat) (ssize : Nat) (ys : Array Lean.IR.Arg) : Lean.IR.Expr

@[export lean_ir_mk_proj_expr]

def Lean.IR.mkProjExpr (i : Nat) (x : Lean.IR.VarId) : Lean.IR.Expr

@[export lean_ir_mk_uproj_expr]

def Lean.IR.mkUProjExpr (i : Nat) (x : Lean.IR.VarId) : Lean.IR.Expr

@[export lean_ir_mk_sproj_expr]

def Lean.IR.mkSProjExpr (n : Nat) (offset : Nat) (x : Lean.IR.VarId) : Lean.IR.Expr

@[export lean_ir_mk_fapp_expr]

def Lean.IR.mkFAppExpr (c : Lean.IR.FunId) (ys : Array Lean.IR.Arg) : Lean.IR.Expr

@[export lean_ir_mk_papp_expr]

def Lean.IR.mkPAppExpr (c : Lean.IR.FunId) (ys : Array Lean.IR.Arg) : Lean.IR.Expr

@[export lean_ir_mk_app_expr]

def Lean.IR.mkAppExpr (x : Lean.IR.VarId) (ys : Array Lean.IR.Arg) : Lean.IR.Expr

@[export lean_ir_mk_num_expr]

def Lean.IR.mkNumExpr (v : Nat) : Lean.IR.Expr

@[export lean_ir_mk_str_expr]

def Lean.IR.mkStrExpr (v : String) : Lean.IR.Expr

structure Lean.IR.Param : Type

• x : Lean.IR.VarId
• borrow : Bool
• ty : Lean.IR.IRType

instance Lean.IR.instInhabitedParam : Inhabited Lean.IR.Param

@[export lean_ir_mk_param]

def Lean.IR.mkParam (x : Lean.IR.VarId) (borrow : Bool) (ty : Lean.IR.IRType) : Lean.IR.Param

inductive Lean.IR.AltCore (FnBody : Type) : Type

• ctor: {FnBody : Type} → Lean.IR.CtorInfo → FnBody → Lean.IR.AltCore FnBody
• default: {FnBody : Type} → FnBody → Lean.IR.AltCore FnBody

inductive Lean.IR.FnBody : Type

• vdecl: Lean.IR.VarId → Lean.IR.IRType → Lean.IR.Expr → Lean.IR.FnBody → Lean.IR.FnBody

  let x : ty := e; b

• jdecl: Lean.IR.JoinPointId → Array Lean.IR.Param → Lean.IR.FnBody → Lean.IR.FnBody → Lean.IR.FnBody

  Join point Declaration block_j (xs) := e; b

• set: Lean.IR.VarId → Nat → Lean.IR.Arg → Lean.IR.FnBody → Lean.IR.FnBody

  Store y at Position sizeof(void*)*i in x. x must be a Constructor object and RC(x) must be 1. This operation is not part of λPure is only used during optimization.

• setTag: Lean.IR.VarId → Nat → Lean.IR.FnBody → Lean.IR.FnBody
• uset: Lean.IR.VarId → Nat → Lean.IR.VarId → Lean.IR.FnBody → Lean.IR.FnBody

  Store y : Usize at Position sizeof(void*)*i in x. x must be a Constructor object and RC(x) must be 1.

• sset: Lean.IR.VarId → Nat → Nat → Lean.IR.VarId → Lean.IR.IRType → Lean.IR.FnBody → Lean.IR.FnBody

  Store y : ty at Position sizeof(void*)*i + offset in x. x must be a Constructor object and RC(x) must be 1. ty must not be object, tobject, irrelevant nor Usize.

• inc: Lean.IR.VarId → Nat → Bool → Bool → Lean.IR.FnBody → Lean.IR.FnBody

  RC increment for object. If c == true, then inc must check whether x is a tagged pointer or not. If persistent == true then x is statically known to be a persistent object.

• dec: Lean.IR.VarId → Nat → Bool → Bool → Lean.IR.FnBody → Lean.IR.FnBody

  RC decrement for object. If c == true, then inc must check whether x is a tagged pointer or not. If persistent == true then x is statically known to be a persistent object.

• del: Lean.IR.VarId → Lean.IR.FnBody → Lean.IR.FnBody
• mdata: Lean.IR.MData → Lean.IR.FnBody → Lean.IR.FnBody
• case: Lake.Name → Lean.IR.VarId → Lean.IR.IRType → Array (Lean.IR.AltCore Lean.IR.FnBody) → Lean.IR.FnBody
• ret: Lean.IR.Arg → Lean.IR.FnBody
• jmp: Lean.IR.JoinPointId → Array Lean.IR.Arg → Lean.IR.FnBody

  Jump to join point j

• unreachable: Lean.IR.FnBody

instance Lean.IR.instInhabitedFnBody : Inhabited Lean.IR.FnBody

@[inline, reducible]

abbrev Lean.IR.FnBody.nil : Lean.IR.FnBody

@[export lean_ir_mk_vdecl]

def Lean.IR.mkVDecl (x : Lean.IR.VarId) (ty : Lean.IR.IRType) (e : Lean.IR.Expr) (b : Lean.IR.FnBody) : Lean.IR.FnBody

@[export lean_ir_mk_jdecl]

def Lean.IR.mkJDecl (j : Lean.IR.JoinPointId) (xs : Array Lean.IR.Param) (v : Lean.IR.FnBody) (b : Lean.IR.FnBody) : Lean.IR.FnBody

@[export lean_ir_mk_uset]

def Lean.IR.mkUSet (x : Lean.IR.VarId) (i : Nat) (y : Lean.IR.VarId) (b : Lean.IR.FnBody) : Lean.IR.FnBody

@[export lean_ir_mk_sset]

def Lean.IR.mkSSet (x : Lean.IR.VarId) (i : Nat) (offset : Nat) (y : Lean.IR.VarId) (ty : Lean.IR.IRType) (b : Lean.IR.FnBody) : Lean.IR.FnBody

@[export lean_ir_mk_case]

def Lean.IR.mkCase (tid : Lake.Name) (x : Lean.IR.VarId) (cs : Array (Lean.IR.AltCore Lean.IR.FnBody)) : Lean.IR.FnBody

@[export lean_ir_mk_ret]

def Lean.IR.mkRet (x : Lean.IR.Arg) : Lean.IR.FnBody

@[export lean_ir_mk_jmp]

def Lean.IR.mkJmp (j : Lean.IR.JoinPointId) (ys : Array Lean.IR.Arg) : Lean.IR.FnBody

@[export lean_ir_mk_unreachable]

def Lean.IR.mkUnreachable : Unit → Lean.IR.FnBody

@[inline, reducible]

abbrev Lean.IR.Alt : Type

@[match_pattern, inline, reducible]

abbrev Lean.IR.Alt.ctor (info : Lean.IR.CtorInfo) (b : Lean.IR.FnBody) : Lean.IR.AltCore Lean.IR.FnBody

@[match_pattern, inline, reducible]

abbrev Lean.IR.Alt.default (b : Lean.IR.FnBody) : Lean.IR.AltCore Lean.IR.FnBody

instance Lean.IR.instInhabitedAlt : Inhabited Lean.IR.Alt

def Lean.IR.FnBody.isTerminal : Lean.IR.FnBody → Bool

def Lean.IR.FnBody.body : Lean.IR.FnBody → Lean.IR.FnBody

def Lean.IR.FnBody.setBody : Lean.IR.FnBody → Lean.IR.FnBody → Lean.IR.FnBody

@[inline]

def Lean.IR.FnBody.resetBody (b : Lean.IR.FnBody) : Lean.IR.FnBody

@[inline]

def Lean.IR.FnBody.split (b : Lean.IR.FnBody) : Lean.IR.FnBody × Lean.IR.FnBody

If b is a non terminal, then return a pair (c, b') s.t. b == c <;> b', and c.body == FnBody.nil

def Lean.IR.AltCore.body : Lean.IR.Alt → Lean.IR.FnBody

def Lean.IR.AltCore.setBody : Lean.IR.Alt → Lean.IR.FnBody → Lean.IR.Alt

@[inline]

def Lean.IR.AltCore.modifyBody (f : Lean.IR.FnBody → Lean.IR.FnBody) : Lean.IR.AltCore Lean.IR.FnBody → Lean.IR.Alt

@[inline]

def Lean.IR.AltCore.mmodifyBody {m : Type → Type} [Monad m] (f : Lean.IR.FnBody → m Lean.IR.FnBody) : Lean.IR.AltCore Lean.IR.FnBody → m Lean.IR.Alt

def Lean.IR.Alt.isDefault : Lean.IR.Alt → Bool

def Lean.IR.push (bs : Array Lean.IR.FnBody) (b : Lean.IR.FnBody) : Array Lean.IR.FnBody

partial def Lean.IR.flattenAux (b : Lean.IR.FnBody) (r : Array Lean.IR.FnBody) : Array Lean.IR.FnBody × Lean.IR.FnBody

def Lean.IR.FnBody.flatten (b : Lean.IR.FnBody) : Array Lean.IR.FnBody × Lean.IR.FnBody

partial def Lean.IR.reshapeAux (a : Array Lean.IR.FnBody) (i : Nat) (b : Lean.IR.FnBody) : Lean.IR.FnBody

def Lean.IR.reshape (bs : Array Lean.IR.FnBody) (term : Lean.IR.FnBody) : Lean.IR.FnBody

@[inline]

def Lean.IR.modifyJPs (bs : Array Lean.IR.FnBody) (f : Lean.IR.FnBody → Lean.IR.FnBody) : Array Lean.IR.FnBody

@[inline]

def Lean.IR.mmodifyJPs {m : Type → Type} [Monad m] (bs : Array Lean.IR.FnBody) (f : Lean.IR.FnBody → m Lean.IR.FnBody) : m (Array Lean.IR.FnBody)

@[export lean_ir_mk_alt]

def Lean.IR.mkAlt (n : Lake.Name) (cidx : Nat) (size : Nat) (usize : Nat) (ssize : Nat) (b : Lean.IR.FnBody) : Lean.IR.Alt

structure Lean.IR.DeclInfo : Type

• sorryDep? : Option Lake.Name

  If some , then declaration depends on which uses a sorry axiom.

Extra information associated with a declaration.

inductive Lean.IR.Decl : Type

• fdecl: Lean.IR.FunId → Array Lean.IR.Param → Lean.IR.IRType → Lean.IR.FnBody → Lean.IR.DeclInfo → Lean.IR.Decl
• extern: Lean.IR.FunId → Array Lean.IR.Param → Lean.IR.IRType → Lean.ExternAttrData → Lean.IR.Decl

instance Lean.IR.instInhabitedDecl : Inhabited Lean.IR.Decl

def Lean.IR.Decl.name : Lean.IR.Decl → Lean.IR.FunId

def Lean.IR.Decl.params : Lean.IR.Decl → Array Lean.IR.Param

def Lean.IR.Decl.resultType : Lean.IR.Decl → Lean.IR.IRType

def Lean.IR.Decl.isExtern : Lean.IR.Decl → Bool

def Lean.IR.Decl.getInfo : Lean.IR.Decl → Lean.IR.DeclInfo

def Lean.IR.Decl.updateBody! (d : Lean.IR.Decl) (bNew : Lean.IR.FnBody) : Lean.IR.Decl

@[export lean_ir_mk_decl]

def Lean.IR.mkDecl (f : Lean.IR.FunId) (xs : Array Lean.IR.Param) (ty : Lean.IR.IRType) (b : Lean.IR.FnBody) : Lean.IR.Decl

@[export lean_ir_mk_extern_decl]

def Lean.IR.mkExternDecl (f : Lean.IR.FunId) (xs : Array Lean.IR.Param) (ty : Lean.IR.IRType) (e : Lean.ExternAttrData) : Lean.IR.Decl

@[export lean_ir_mk_dummy_extern_decl]

def Lean.IR.mkDummyExternDecl (f : Lean.IR.FunId) (xs : Array Lean.IR.Param) (ty : Lean.IR.IRType) : Lean.IR.Decl

@[inline, reducible]

abbrev Lean.IR.IndexSet : Type

Set of variable and join point names

instance Lean.IR.instInhabitedIndexSet : Inhabited Lean.IR.IndexSet

def Lean.IR.mkIndexSet (idx : Lean.IR.Index) : Lean.IR.IndexSet

inductive Lean.IR.LocalContextEntry : Type

• param: Lean.IR.IRType → Lean.IR.LocalContextEntry
• localVar: Lean.IR.IRType → Lean.IR.Expr → Lean.IR.LocalContextEntry
• joinPoint: Array Lean.IR.Param → Lean.IR.FnBody → Lean.IR.LocalContextEntry

@[inline, reducible]

abbrev Lean.IR.LocalContext : Type

def Lean.IR.LocalContext.addLocal (ctx : Lean.IR.LocalContext) (x : Lean.IR.VarId) (t : Lean.IR.IRType) (v : Lean.IR.Expr) : Lean.IR.LocalContext

def Lean.IR.LocalContext.addJP (ctx : Lean.IR.LocalContext) (j : Lean.IR.JoinPointId) (xs : Array Lean.IR.Param) (b : Lean.IR.FnBody) : Lean.IR.LocalContext

def Lean.IR.LocalContext.addParam (ctx : Lean.IR.LocalContext) (p : Lean.IR.Param) : Lean.IR.LocalContext

def Lean.IR.LocalContext.addParams (ctx : Lean.IR.LocalContext) (ps : Array Lean.IR.Param) : Lean.IR.LocalContext

def Lean.IR.LocalContext.isJP (ctx : Lean.IR.LocalContext) (idx : Lean.IR.Index) : Bool

def Lean.IR.LocalContext.getJPBody (ctx : Lean.IR.LocalContext) (j : Lean.IR.JoinPointId) : Option Lean.IR.FnBody

def Lean.IR.LocalContext.getJPParams (ctx : Lean.IR.LocalContext) (j : Lean.IR.JoinPointId) : Option (Array Lean.IR.Param)

def Lean.IR.LocalContext.isParam (ctx : Lean.IR.LocalContext) (idx : Lean.IR.Index) : Bool

def Lean.IR.LocalContext.isLocalVar (ctx : Lean.IR.LocalContext) (idx : Lean.IR.Index) : Bool

def Lean.IR.LocalContext.contains (ctx : Lean.IR.LocalContext) (idx : Lean.IR.Index) : Bool

def Lean.IR.LocalContext.eraseJoinPointDecl (ctx : Lean.IR.LocalContext) (j : Lean.IR.JoinPointId) : Lean.IR.LocalContext

def Lean.IR.LocalContext.getType (ctx : Lean.IR.LocalContext) (x : Lean.IR.VarId) : Option Lean.IR.IRType

def Lean.IR.LocalContext.getValue (ctx : Lean.IR.LocalContext) (x : Lean.IR.VarId) : Option Lean.IR.Expr

@[inline, reducible]

abbrev Lean.IR.IndexRenaming : Type

class Lean.IR.AlphaEqv (α : Type) : Type

• aeqv : Lean.IR.IndexRenaming → α → α → Bool

def Lean.IR.VarId.alphaEqv (ρ : Lean.IR.IndexRenaming) (v₁ : Lean.IR.VarId) (v₂ : Lean.IR.VarId) : Bool

instance Lean.IR.instAlphaEqvVarId : Lean.IR.AlphaEqv Lean.IR.VarId

def Lean.IR.Arg.alphaEqv (ρ : Lean.IR.IndexRenaming) : Lean.IR.Arg → Lean.IR.Arg → Bool

instance Lean.IR.instAlphaEqvArg : Lean.IR.AlphaEqv Lean.IR.Arg

def Lean.IR.args.alphaEqv (ρ : Lean.IR.IndexRenaming) (args₁ : Array Lean.IR.Arg) (args₂ : Array Lean.IR.Arg) : Bool

instance Lean.IR.instAlphaEqvArrayArg : Lean.IR.AlphaEqv (Array Lean.IR.Arg)

def Lean.IR.Expr.alphaEqv (ρ : Lean.IR.IndexRenaming) : Lean.IR.Expr → Lean.IR.Expr → Bool

instance Lean.IR.instAlphaEqvExpr : Lean.IR.AlphaEqv Lean.IR.Expr

def Lean.IR.addVarRename (ρ : Lean.IR.IndexRenaming) (x₁ : Nat) (x₂ : Nat) : Lean.IR.IndexRenaming

def Lean.IR.addParamRename (ρ : Lean.IR.IndexRenaming) (p₁ : Lean.IR.Param) (p₂ : Lean.IR.Param) : Option Lean.IR.IndexRenaming

def Lean.IR.addParamsRename (ρ : Lean.IR.IndexRenaming) (ps₁ : Array Lean.IR.Param) (ps₂ : Array Lean.IR.Param) : Option Lean.IR.IndexRenaming

partial def Lean.IR.FnBody.alphaEqv : Lean.IR.IndexRenaming → Lean.IR.FnBody → Lean.IR.FnBody → Bool

def Lean.IR.FnBody.beq (b₁ : Lean.IR.FnBody) (b₂ : Lean.IR.FnBody) : Bool

instance Lean.IR.instBEqFnBody : BEq Lean.IR.FnBody

@[inline, reducible]

abbrev Lean.IR.VarIdSet : Type

instance Lean.IR.instInhabitedVarIdSet : Inhabited Lean.IR.VarIdSet

def Lean.IR.mkIf (x : Lean.IR.VarId) (t : Lean.IR.FnBody) (e : Lean.IR.FnBody) : Lean.IR.FnBody

def Lean.IR.getUnboxOpName (t : Lean.IR.IRType) : String