def Nat.fromExpr? (e : Lean.Expr) : Lean.Meta.SimpM (Option Nat)

Equations

• Nat.fromExpr? e = liftM (Lean.Meta.getNatValue? e)

@[inline]

def Nat.reduceUnary (declName : Lake.Name) (arity : Nat) (op : Nat → Nat) (e : Lean.Expr) : Lean.Meta.SimpM Lean.Meta.Simp.DStep

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@[inline]

def Nat.reduceBin (declName : Lake.Name) (arity : Nat) (op : Nat → Nat → Nat) (e : Lean.Expr) : Lean.Meta.SimpM Lean.Meta.Simp.DStep

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@[inline]

def Nat.reduceBinPred (declName : Lake.Name) (arity : Nat) (op : Nat → Nat → Bool) (e : Lean.Expr) : Lean.Meta.SimpM Lean.Meta.Simp.Step

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@[inline]

def Nat.reduceBoolPred (declName : Lake.Name) (arity : Nat) (op : Nat → Nat → Bool) (e : Lean.Expr) : Lean.Meta.SimpM Lean.Meta.Simp.DStep

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def Nat.reduceSucc : Lean.Meta.Simp.DSimproc

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• Nat.reduceSucc = Nat.reduceUnary `Nat.succ 1 fun (x : Nat) => x + 1

def Nat.reduceAdd : Lean.Meta.Simp.DSimproc

Equations

• Nat.reduceAdd = Nat.reduceBin `HAdd.hAdd 6 fun (x x_1 : Nat) => x + x_1

def Nat.reduceMul : Lean.Meta.Simp.DSimproc

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• Nat.reduceMul = Nat.reduceBin `HMul.hMul 6 fun (x x_1 : Nat) => x * x_1

def Nat.reduceSub : Lean.Meta.Simp.DSimproc

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• Nat.reduceSub = Nat.reduceBin `HSub.hSub 6 fun (x x_1 : Nat) => x - x_1

def Nat.reduceDiv : Lean.Meta.Simp.DSimproc

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• Nat.reduceDiv = Nat.reduceBin `HDiv.hDiv 6 fun (x x_1 : Nat) => x / x_1

def Nat.reduceMod : Lean.Meta.Simp.DSimproc

Equations

• Nat.reduceMod = Nat.reduceBin `HMod.hMod 6 fun (x x_1 : Nat) => x % x_1

def Nat.reducePow : Lean.Meta.Simp.DSimproc

Equations

• Nat.reducePow = Nat.reduceBin `HPow.hPow 6 fun (x x_1 : Nat) => x ^ x_1

def Nat.reduceGcd : Lean.Meta.Simp.DSimproc

Equations

• Nat.reduceGcd = Nat.reduceBin `Nat.gcd 2 Nat.gcd

def Nat.reduceLT : Lean.Meta.Simp.Simproc

Equations

• Nat.reduceLT = Nat.reduceBinPred `LT.lt 4 fun (x x_1 : Nat) => decide (x < x_1)

def Nat.reduceGT : Lean.Meta.Simp.Simproc

Equations

• Nat.reduceGT = Nat.reduceBinPred `GT.gt 4 fun (x x_1 : Nat) => decide (x > x_1)

def Nat.reduceBEq : Lean.Meta.Simp.DSimproc

Equations

• Nat.reduceBEq = Nat.reduceBoolPred `BEq.beq 4 fun (x x_1 : Nat) => x == x_1

def Nat.reduceBNe : Lean.Meta.Simp.DSimproc

Equations

• Nat.reduceBNe = Nat.reduceBoolPred `bne 4 fun (x x_1 : Nat) => x != x_1

def Nat.isValue : Lean.Meta.Simp.DSimproc

Return .done for Nat values. We don't want to unfold in the symbolic evaluator.

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def Nat.applySimprocConst (expr : Lean.Expr) (nm : Lake.Name) (args : Array Lean.Expr) : Lean.Meta.SimpM Lean.Meta.Simp.Step

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inductive Nat.EqResult : Type

• decide: Bool → Nat.EqResult
• false: Lean.Expr → Nat.EqResult
• eq: Lean.Expr → Lean.Expr → Lean.Expr → Nat.EqResult

def Nat.applyEqLemma (e : Lean.Expr → Nat.EqResult) (lemmaName : Lake.Name) (args : Array Lean.Expr) : Lean.Meta.SimpM (Option Nat.EqResult)

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def Nat.reduceNatEqExpr (x : Lean.Expr) (y : Lean.Expr) : Lean.Meta.SimpM (Option Nat.EqResult)

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def Nat.reduceEqDiff : Lean.Meta.Simp.Simproc

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def Nat.reduceBeqDiff : Lean.Meta.Simp.Simproc

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

def Nat.reduceBneDiff : Lean.Meta.Simp.Simproc

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def Nat.reduceLTLE (nm : Lake.Name) (arity : Nat) (isLT : Bool) (e : Lean.Expr) : Lean.Meta.SimpM Lean.Meta.Simp.Step

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def Nat.reduceLeDiff : Lean.Meta.Simp.Simproc

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• Nat.reduceLeDiff = Nat.reduceLTLE `LE.le 4 false

def Nat.reduceSubDiff : Lean.Meta.Simp.Simproc

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