lean4-htt/tests/elab/bv_decide_enum_universe.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

125 lines
2.6 KiB
Text

import Std.Tactic.BVDecide
/-- info: PUnit.enumToBitVec.{u} : PUnit → BitVec 0 -/
#guard_msgs in
#check _root_.PUnit.enumToBitVec
/--
info: PUnit.eq_iff_enumToBitVec_eq.{u} (x y : PUnit) : x = y ↔ x.enumToBitVec = y.enumToBitVec
-/
#guard_msgs in
#check PUnit.eq_iff_enumToBitVec_eq
/-- info: PUnit.enumToBitVec_le.{u} (x : PUnit) : x.enumToBitVec ≤ 0#0 -/
#guard_msgs in
#check PUnit.enumToBitVec_le
def test1 (x : PUnit) : Bool :=
match x with
| _ => false
def test2 (x : PUnit.{1}) : Bool :=
match x with
| _ => false
example (_a : PUnit) : True := by
bv_normalize
example (_a : PUnit.{1}) : True := by
bv_normalize
example (_a : PUnit) (h : test1 x = true) : False := by
unfold test1 at h
bv_normalize
example (_a : PUnit.{1}) (h : test2 x = true) : False := by
unfold test2 at h
bv_normalize
inductive PBool : Type u where
| true
| false
/-- info: PBool.enumToBitVec.{u} : PBool → BitVec 1 -/
#guard_msgs in
#check PBool.enumToBitVec
/--
info: PBool.eq_iff_enumToBitVec_eq.{u} (x y : PBool) : x = y ↔ x.enumToBitVec = y.enumToBitVec
-/
#guard_msgs in
#check PBool.eq_iff_enumToBitVec_eq
/-- info: PBool.enumToBitVec_le.{u} (x : PBool) : x.enumToBitVec ≤ 1#1 -/
#guard_msgs in
#check PBool.enumToBitVec_le
def test3 (x : PBool) : Bool :=
match x with
| .false => false
| .true => false
def test4 (x : PBool.{1}) : Bool :=
match x with
| .false => false
| .true => false
def test5 (x : PBool) : Bool :=
match x with
| .true => false
| _ => false
def test6 (x : PBool.{1}) : Bool :=
match x with
| .true => false
| _ => false
example (_a : PBool) : True := by
bv_normalize
example (_a : PBool.{1}) : True := by
bv_normalize
example (x : PBool) (h : test3 x = true) : False := by
unfold test3 at h
bv_normalize
example (x : PBool.{1}) (h : test4 x = true) : False := by
unfold test4 at h
bv_normalize
example (x : PBool) (h : test5 x = true) : False := by
unfold test5 at h
bv_normalize
example (x : PBool.{1}) (h : test6 x = true) : False := by
unfold test6 at h
bv_normalize
/--
error: The prover found a counterexample, consider the following assignment:
x = PBool.false
-/
#guard_msgs in
example (x : PBool.{1}) : x = .true := by
bv_decide
/--
error: The prover found a counterexample, consider the following assignment:
x = PBool.false
-/
#guard_msgs in
example (x : PBool) : x = .true := by
bv_decide
inductive State : Type u where
| s1
| s2
| s3
example (s : State) (h : s ≠ .s1 ∧ s ≠ .s2 ∧ s ≠ .s3) : False := by
bv_decide
example (s : State.{1}) (h : s ≠ .s1 ∧ s ≠ .s2 ∧ s ≠ .s3) : False := by
bv_decide