lean4-htt/tests/elab/4051.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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def Array.swaps (a : Array α) : List (Fin a.size × Fin a.size) → Array α
| [] => a
| (i, j) :: ijs =>
have : (a.swap i j).size = a.size := a.size_swap
swaps (a.swap i j) (ijs.map (fun p => ⟨⟨p.1.1, by simp⟩, ⟨p.2.1, by simp⟩⟩))
termination_by l => l.length
set_option maxHeartbeats 1000 in
theorem Array.swaps_cancel (a : Array α) (l : List (Fin a.size × Fin a.size)) : a.swaps (l ++ l.reverse) = a :=
match l with
| [] => sorry
| c :: cs =>
have h : a.size = (a.swaps [c]).size := sorry
have ih1 : ((a.swaps [c]).swaps ((h ▸ cs) ++ (h ▸ cs).reverse)) = (a.swaps [c]) :=
swaps_cancel (a.swaps [c]) (h ▸ cs)
sorry
termination_by l.length
decreasing_by sorry