lean4-htt/tests/elab/grind_12246.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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import Std.Do
import Std.Tactic.Do
def Matrix' (α β γ : Type) : Type := α → β → γ
namespace Matrix'
variable {α : Type} {m n : Nat} {M : Matrix' (Fin m) (Fin n) α}
variable {i i' : Fin m} {j j' : Fin n}
def shuffleRows (M : Matrix' (Fin m) (Fin n) α) (j : Fin n) :
Matrix' (Fin m) (Fin n) α := sorry
def altColSort (M : Matrix' (Fin m) (Fin n) α) :
Matrix' (Fin m) (Fin n) α := Id.run do
let mut M' : Matrix' (Fin m) (Fin n) α := M
for hj : j in [:n] do M' := M'.shuffleRows ⟨j, by sorry⟩
return M'
open Std.Do
variable [LE α] [Std.IsLinearOrder α]
set_option mvcgen.warning false
def Monotone' {α : Type} [LE α] (f : Fin n → α) : Prop := ∀ i j, i ≤ j → f i ≤ f j
attribute [grind =] Fin.le_def Monotone'
theorem altColSort_rowSorted' (hM : ∀ i, Monotone' (M i)) (i : Fin m) :
Monotone' (M.altColSort i) := by
generalize h : M.altColSort = x
apply Id.of_wp_run_eq h
mvcgen invariants
| inv1 => ⇓⟨cur, M'⟩ => ⌜(∀ j : Fin n, j < cur.pos → Monotone' (M' · j))⌝
case vc2 => grind
case vc3 => sorry
case vc1 =>
fail_if_success grind -verbose
sorry
end Matrix'