lean4-htt/tests/elab/sizeof6.lean.out.expected
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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theorem Foo.mk.sizeOf_spec : ∀ (args : Lean.PersistentArray Foo), sizeOf (Foo.mk args) = 1 + sizeOf args :=
fun args => congrArg (Nat.add 1) (Foo._sizeOf_2_eq args)
theorem Foo._sizeOf_2_eq : ∀ (x : Lean.PersistentArray Foo), Foo._sizeOf_2 x = sizeOf x :=
fun x =>
Lean.PersistentArray.rec
(fun root tail size shift tailOff =>
Eq.trans
(congrArg (fun x => ((x.add (sizeOf size)).add (sizeOf shift)).add (sizeOf tailOff))
(congr (congrArg (fun x => (Nat.add 1 x).add) (Foo._sizeOf_3_eq root)) (Foo._sizeOf_4_eq tail)))
(Eq.symm (Lean.PersistentArray.mk.sizeOf_spec root tail size shift tailOff)))
x
theorem Foo._sizeOf_3_eq : ∀ (x : Lean.PersistentArrayNode Foo), Foo._sizeOf_3 x = sizeOf x :=
fun x =>
Lean.PersistentArrayNode.rec
(fun cs cs_ih => Eq.trans (congrArg (Nat.add 1) cs_ih) (Eq.symm (Lean.PersistentArrayNode.node.sizeOf_spec cs)))
(fun vs =>
Eq.trans (congrArg (Nat.add 1) (Foo._sizeOf_4_eq vs)) (Eq.symm (Lean.PersistentArrayNode.leaf.sizeOf_spec vs)))
(fun toList toList_ih => Eq.trans (congrArg (Nat.add 1) toList_ih) (Eq.symm (Array.mk.sizeOf_spec toList)))
(Eq.refl (sizeOf []))
(fun head tail head_ih tail_ih =>
Eq.trans (congr (congrArg (fun x => (Nat.add 1 x).add) head_ih) tail_ih)
(Eq.symm (List.cons.sizeOf_spec head tail)))
x