lean4-htt/tests/elab/nestedWF.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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Text

namespace Ex1
mutual
def h (c : Nat) (x : Nat) := match g c x c c with
| 0 => 1
| r => r + 2
termination_by 0
decreasing_by all_goals sorry
def g (c : Nat) (t : Nat) (a b : Nat) : Nat := match t with
| (n+1) => match g c n a b with
| 0 => 0
| m => match g c (n - m) a b with
| 0 => 0
| m + 1 => g c m a b
| 0 => f c 0
termination_by 0
decreasing_by all_goals sorry
def f (c : Nat) (x : Nat) := match h c x with
| 0 => 1
| r => f c r
termination_by 0
decreasing_by all_goals sorry
end
attribute [simp] g
attribute [simp] h
attribute [simp] f
#check g.eq_1
#check g.eq_2
#check h.eq_1
#check f.eq_1
end Ex1
namespace Ex2
def g (t : Nat) : Nat := match t with
| (n+1) => match g n with
| 0 => 0
| m + 1 => match g (n - m) with
| 0 => 0
| m + 1 => g n
| 0 => 0
decreasing_by all_goals sorry
theorem ex1 : g 0 = 0 := by
rw [g]
#check g.eq_1
#check g.eq_2
theorem ex2 : g 0 = 0 := by
unfold g
simp
#check g.eq_def
end Ex2