This module defines the data structure and environment extension to remember how to map the function's arguments to the functional induction principle's arguments. Also used for functional cases.

inductive Lean.Meta.FunIndParamKind : Type

• dropped : FunIndParamKind
• param : FunIndParamKind
• target : FunIndParamKind

Instances For

• Lean.Meta.instBEqFunIndParamKind
• Lean.Meta.instInhabitedFunIndParamKind
• Lean.Meta.instReprFunIndParamKind

instance Lean.Meta.instBEqFunIndParamKind : BEq FunIndParamKind

Equations

• Lean.Meta.instBEqFunIndParamKind = { beq := Lean.Meta.beqFunIndParamKind✝ }

instance Lean.Meta.instReprFunIndParamKind : Repr FunIndParamKind

Equations

• Lean.Meta.instReprFunIndParamKind = { reprPrec := Lean.Meta.reprFunIndParamKind✝ }

instance Lean.Meta.instInhabitedFunIndParamKind : Inhabited FunIndParamKind

Equations

• Lean.Meta.instInhabitedFunIndParamKind = { default := Lean.Meta.FunIndParamKind.dropped }

structure Lean.Meta.FunIndInfo : Type

A FunIndInfo indicates how a function's arguments map to the arguments of the functional induction (resp. cases) theorem.

The size of params also indicates the arity of the function.

• funIndName : Name
• levelMask : Array Bool

  true means that the corresponding level parameter of the function is also a level param of the induction principle.

• params : Array FunIndParamKind

Instances For

• Lean.Meta.instInhabitedFunIndInfo
• Lean.Meta.instReprFunIndInfo

instance Lean.Meta.instInhabitedFunIndInfo : Inhabited FunIndInfo

Equations

• Lean.Meta.instInhabitedFunIndInfo = { default := { funIndName := default, levelMask := default, params := default } }

instance Lean.Meta.instReprFunIndInfo : Repr FunIndInfo

Equations

• Lean.Meta.instReprFunIndInfo = { reprPrec := Lean.Meta.reprFunIndInfo✝ }

opaque Lean.Meta.funIndInfoExt : MapDeclarationExtension FunIndInfo

def Lean.Meta.getFunInductName (declName : Name) : Name

Equations

• Lean.Meta.getFunInductName declName = declName ++ `induct

def Lean.Meta.getFunCasesName (declName : Name) : Name

Equations

• Lean.Meta.getFunCasesName declName = declName ++ `fun_cases

def Lean.Meta.getMutualInductName (declName : Name) : Name

Equations

• Lean.Meta.getMutualInductName declName = declName ++ `mutual_induct

def Lean.Meta.getFunInduct? (cases : Bool) (declName : Name) : CoreM (Option Name)

Equations

• One or more equations did not get rendered due to their size.

def Lean.Meta.setFunIndInfo (funIndInfo : FunIndInfo) : CoreM Unit

Equations

• One or more equations did not get rendered due to their size.

def Lean.Meta.getFunIndInfoForInduct? (inductName : Name) : CoreM (Option FunIndInfo)

Equations

• Lean.Meta.getFunIndInfoForInduct? inductName = do let __do_lift ← Lean.getEnv pure (Lean.Meta.funIndInfoExt.find? __do_lift inductName)

def Lean.Meta.getFunIndInfo? (cases : Bool) (funName : Name) : CoreM (Option FunIndInfo)

Equations

• One or more equations did not get rendered due to their size.