lean4-htt/tests/lean/run/bubble.lean
Joachim Breitner b5122b6a7b feat: per-function termination hints
This change

 * moves `termination_by` and `decreasing_by` next to the function they
   apply to
 * simplify the syntax of `termination_by`
 * apply the `decreasing_by` goal to all goals at once, for better
   interactive use.

See the section in `RELEASES.md` for more details and migration advise.

This is a hard breaking change, requiring developers to touch every
`termination_by` in their code base. We decided to still do it as a
hard-breaking change, because supporting both old and new syntax at the
same time would be non-trivial, and not save that much. Moreover, this
requires changes to some metaprograms that developers might have
written, and supporting both syntaxes at the same time would make
_their_ migration harder.
2024-01-10 17:27:35 +01:00

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def List.bubblesort [LT α] [DecidableRel (· < · : αα → Prop)] (l : List α) : {l' : List α // l.length = l'.length} :=
match l with
| [] => ⟨[], rfl⟩
| x :: xs =>
match bubblesort xs with
| ⟨[], h⟩ => ⟨[x], by simp[h]⟩
| ⟨y :: ys, h⟩ =>
if y < x then
have : Nat.succ (length ys) < Nat.succ (length xs) := by rw [h, List.length_cons]; apply Nat.lt_succ_self
let ⟨zs, he⟩ := bubblesort (x :: ys)
⟨y :: zs, by simp[h, ← he]⟩
else
⟨x :: y :: ys, by simp[h]⟩
termination_by l.length