lean4-htt/tests/lean/run/meta7.lean
Leonardo de Moura 102d2ae57d fix: avoid unnecessary reduction
```lean
forallBoundedTelescope `(Nat -> IO Nat) 1 fun xs type => ...
```
should assign `IO Nat` to `type` instead of `IO.RealWorld -> ...`
2020-09-06 06:57:52 -07:00

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import Lean.Meta
open Lean
open Lean.Meta
def fact : Nat → Nat
| 0 => 1
| n+1 => (n+1)*fact n
set_option trace.Meta true
set_option trace.Meta.isDefEq false
set_option trace.Meta.check false
def print (msg : MessageData) : MetaM Unit :=
trace! `Meta.debug msg
def check (x : MetaM Bool) : MetaM Unit :=
unlessM x $ throwError "check failed"
def ex (x_1 x_2 x_3 : Nat) : Nat × Nat :=
let x := fact (10 + x_1 + x_2 + x_3);
let ty := Nat → Nat;
let f : ty := fun x => x;
let n := 20;
let z := f 10;
(let y : { v : Nat // v = n } := ⟨20, rfl⟩; y.1 + n + f x, z + 10)
def tst1 : MetaM Unit := do
print "----- tst1 -----";
c ← getConstInfo `ex;
lambdaTelescope c.value?.get! fun xs body =>
withTrackingZeta do
Meta.check body;
ys ← getZetaFVarIds;
let ys := ys.toList.map mkFVar;
print ys;
check $ pure $ ys.length == 2;
c ← mkAuxDefinitionFor `foo body;
print c;
Meta.check c;
pure ()
#eval tst1
#print foo
def tst2 : MetaM Unit := do
print "----- tst2 -----";
let nat := mkConst `Nat;
let t0 := mkApp (mkConst `IO) nat;
let t := mkForall `_ BinderInfo.default nat t0;
print t;
Meta.check t;
forallBoundedTelescope t (some 1) fun xs b => do
print b;
check $ pure $ xs.size == 1;
check $ pure $ b == t0;
pure ()
#eval tst2
def tst3 : MetaM Unit := do
print "----- tst2 -----";
let nat := mkConst `Nat;
let t0 := mkApp (mkConst `IO) nat;
let t := t0;
print t;
Meta.check t;
forallBoundedTelescope t (some 0) fun xs b => do
print b;
check $ pure $ xs.size == 0;
check $ pure $ b == t0;
pure ()
#eval tst3