08eb78a5b2
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.
43 lines
1.2 KiB
Text
43 lines
1.2 KiB
Text
import Lean
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/-!
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This was once an exploit of a bug in the Lean kernel relying on the Lean kernel
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falsely interpreting an expression as a Nat literal.
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-/
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noncomputable def g.{u} : PUnit.{u} → Nat := fun _ => open Classical in if Type = Type then 0 else 0
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-- Just writing `Nat.pow (Nat.pow 10 8) 502` would also work; `Nat.pow (Nat.pow 10 8) 503` wouldn't
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def T : Nat → Prop := fun x => if x = 0 then False else True
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-- The kernel reduces this to a number between 10^8032 and 10^8048
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noncomputable def POW! := Nat.pow (g.{0} ⟨⟩) 1
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elab "#inject_bad_proof" : command => do
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let decl : Lean.Declaration := .defnDecl {
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name := `mythm,
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hints := .regular 0,
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safety := .safe,
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type := (.app (.const `T []) (.const `POW! [])),
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levelParams := [],
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value := (.const `True.intro [])
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}
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Lean.Elab.Command.liftCoreM (Lean.addDecl decl)
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/--
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error: (kernel) declaration type mismatch, 'mythm' has type
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True
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but it is expected to have type
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T POW!
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-/
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#guard_msgs in
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#inject_bad_proof
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theorem g_eq_zero : g.{u} n = 0 := by
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unfold g
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split <;> rfl
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theorem show_false : False := by
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change T (Nat.pow 0 1)
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rw [← g_eq_zero]
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exact mythm
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