lean4-htt/tests/elab/nativeReflBackdoor.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

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set_option linter.unusedVariables false
/-
This example demonstratea that when we are using `native_decide`,
we are also trusting the correctness of `implemented_by` annotations,
foreign functions (i.e., `[extern]` annotations), etc.
-/
def g (b : Bool) := false
/-
The following `implemented_by` is telling the compiler
"trust me, `g` does implement `f`"
which is clearly false in this example.
-/
@[implemented_by g]
def f (b : Bool) := b
theorem fConst (b : Bool) : f b = false :=
match b with
| true =>
/- The following `native_decide` is going to use `g` to evaluate `f`
because of the `implemented_by` directive. -/
have : (f true) = false := by native_decide
this
| false => rfl
theorem trueEqFalse : true = false :=
have h₁ : f true = true := rfl;
have h₂ : f true = false := fConst true;
Eq.trans h₁.symm h₂
/-
We managed to prove `False` using the unsound annotation `implemented_by` above.
-/
theorem unsound : False :=
Bool.noConfusion trueEqFalse
/-- info: 'unsound' depends on axioms: [fConst._native.native_decide.ax_1_3] -/
#guard_msgs in
#print axioms unsound