lean4-htt/tests/lean/474.lean

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Text

import Lean
open Lean Meta
#eval do
let e ← withLetDecl `y (mkConst ``Nat) (mkConst ``Nat.zero) fun y => do
let m ← mkFreshExprMVar (mkConst ``Nat)
m.mvarId!.assign y
let e := mkApp2 (mkConst ``Nat.add) m y
-- goal: construct λ y, e
dbg_trace (← ppExpr (← mkLambdaFVars #[y] e)) -- doesn't work: creates let
dbg_trace (← ppExpr (← instantiateMVars <| -- doesn't work: contains free variable
mkLambda `y BinderInfo.default (mkConst ``Nat) (e.abstract #[y])))
instantiateMVars <| -- doesn't work: contains free variable
mkLambda `y BinderInfo.default (mkConst ``Nat) (e.abstract #[y])
dbg_trace (← ppExpr e)
#eval
withLetDecl `y (mkConst ``Nat) (mkConst ``Nat.zero) fun y => do
let m ← mkFreshExprMVar (mkConst ``Nat)
m.mvarId!.assign y
let e := mkApp2 (mkConst ``Nat.add) m y
-- goal: construct λ y, e
dbg_trace (← instantiateMVars <| -- doesn't work: contains free variable
mkLambda `y BinderInfo.default (mkConst ``Nat) (← e.abstractM #[y]))
#eval do
let (e, _) ← withLetDecl `y (mkConst ``Nat) (mkConst ``Nat.zero) fun y => do
let m ← mkFreshExprMVar (mkConst ``Nat) (kind := MetavarKind.syntheticOpaque)
let e := mkApp2 (mkConst ``Nat.add) m y
dbg_trace (← ppExpr e)
dbg_trace (← ppExpr (← e.abstractM #[y]))
let e ← instantiateMVars <| -- doesn't work: contains free variable
mkLambda `y BinderInfo.default (mkConst ``Nat) (← e.abstractM #[y])
m.mvarId!.assign (mkApp2 (mkConst ``Nat.add) y y)
return (e, m)
dbg_trace (← ppExpr (← instantiateMVars e))