lean4-htt/tests/elab/closure1.lean
Kim Morrison 66bc9ae177
chore: deprecate levelZero and levelOne (#12720)
This PR deprecates `levelZero` in favor of `Level.zero` and `levelOne`
in favor of the new `Level.one`, and updates all usages throughout the
codebase. The `levelZero` alias was previously required for computed
field `data` to work, but this is no longer needed.

🤖 Prepared with Claude Code
2026-03-04 01:03:08 +00:00

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import Lean
open Lean
open Lean.Meta
universe u
inductive Vec (α : Type u) : Nat → Type u
| nil : Vec α 0
| cons {n} : α → Vec α n → Vec α (n+1)
set_option trace.Meta.debug true
def printDef (declName : Name) : MetaM Unit := do
let cinfo ← getConstInfo declName;
trace[Meta.debug] cinfo.value!
instance : Coe Name FVarId where
coe n := { name := n }
instance : Coe Name MVarId where
coe n := { name := n }
instance : Coe Name LMVarId where
coe n := { name := n }
def tst1 : MetaM Unit := do
let u := mkLevelParam `u
let v := mkLevelMVar `v
let m1 ← mkFreshExprMVar (mkSort Level.one)
withLocalDeclD `α (mkSort u) $ fun α => do
withLocalDeclD `β (mkSort v) $ fun β => do
let m2 ← mkFreshExprMVar (← mkArrow α m1)
withLocalDeclD `a α $ fun a => do
withLocalDeclD `f (← mkArrow α α) $ fun f => do
withLetDecl `b α (mkApp f a) $ fun b => do
let t := mkApp m2 (mkApp f b)
let e ← mkAuxDefinitionFor `foo1 t
trace[Meta.debug] e
printDef `foo1
set_option pp.mvars false in
/--
trace: [Meta.debug] foo1 α f b ?_ ?_
[Meta.debug] fun α f b _x_1 _x_2 => _x_2 (f b)
-/
#guard_msgs in
#eval tst1
def tst2 : MetaM Unit := do
let u := mkLevelParam `u
withLocalDeclD `α (mkSort (mkLevelSucc u)) $ fun α => do
withLocalDeclD `v1 (mkApp2 (mkConst `Vec [u]) α (mkNatLit 10)) $ fun v1 =>
withLetDecl `n (mkConst `Nat) (mkNatLit 10) $ fun n =>
withLocalDeclD `v2 (mkApp2 (mkConst `Vec [u]) α n) $ fun v2 => do
let m ← mkFreshExprMVar (← mkArrow (mkApp2 (mkConst `Vec [u]) α (mkNatLit 10)) (mkSort Level.zero))
withLocalDeclD `p (mkSort Level.zero) $ fun p => do
let t ← mkEq v1 v2
let t := mkApp2 (mkConst `And) t (mkApp2 (mkConst `Or) (mkApp m v2) p)
let e ← mkAuxDefinitionFor `foo2 t
trace[Meta.debug] e
printDef `foo2
set_option pp.mvars false in
/--
trace: [Meta.debug] foo2 α v1 v2 p ?_
[Meta.debug] fun α v1 v2 p _x_1 => v1 = v2 ∧ (_x_1 v2 p)
-/
#guard_msgs in
#eval tst2