lean4-htt/tests/elab/synth1.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.Meta
open Lean
open Lean.Meta
class HasCoerce (a : semiOutParam Type) (b : Type) :=
(coerce : a → b)
def coerce {a b : Type} [HasCoerce a b] : a → b :=
@HasCoerce.coerce a b _
instance coerceTrans {a b c : Type} [HasCoerce b c] [HasCoerce a b] : HasCoerce a c :=
⟨fun x => coerce (coerce x : b)⟩
instance coerceBoolToProp : HasCoerce Bool Prop :=
⟨fun y => y = true⟩
instance coerceDecidableEq (x : Bool) : Decidable (coerce x) :=
inferInstanceAs (Decidable (x = true))
instance coerceNatToBool : HasCoerce Nat Bool :=
⟨fun x => x == 0⟩
instance coerceNatToInt : HasCoerce Nat Int :=
⟨fun x => Int.ofNat x⟩
def print {α} [ToString α] (a : α) : MetaM Unit := do
trace[Meta.synthInstance] (toString a)
def tst1 : MetaM Unit := do
let inst ← mkAppM `HasCoerce #[mkConst `Nat, mkSort Level.zero]
let r ← synthInstance inst
print r
set_option trace.Meta.synthInstance true in
set_option trace.Meta.synthInstance.tryResolve false in
#eval tst1
def tst2 : MetaM Unit := do
let inst ← mkAppM `Bind #[mkConst `IO]
-- globalInstances ← getGlobalInstances
-- print (format globalInstances)
-- result ← globalInstances.getUnify inst
-- print result
let r ← synthInstance inst
print r
pure ()
set_option trace.Meta.synthInstance true in
set_option trace.Meta.synthInstance.tryResolve false in
#eval tst2
def tst3 : MetaM Unit := do
let inst ← mkAppM `BEq #[mkConst `Nat]
let r ← synthInstance inst
print r
pure ()
set_option trace.Meta.synthInstance true in
set_option trace.Meta.synthInstance.tryResolve false in
#eval tst3