lean4-htt/tests/elab/congrThmIssue.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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theorem Nat.lt_of_lt_le {x y z : Nat} : x < y → y ≤ z → x < z := by
intro h h'
induction h'
assumption
apply Nat.le_step
assumption
structure ArrayBuffer (α) where
cap : Nat
backing : Fin cap → Option α
size : Nat
h_size : size ≤ cap
h_full : ∀ i, (h:i < size) → (backing ⟨i, Nat.lt_of_lt_le h h_size⟩).isSome
namespace ArrayBuffer
def grow : ArrayBuffer α → ArrayBuffer α :=
λ ⟨cap, backing, size, h_size, h_full⟩ =>
⟨cap + cap,
λ i => if h:i < cap then backing ⟨i,h⟩ else none,
size,
Nat.le_trans h_size (Nat.le_add_left _ _),
by intro i h
simp
trace_state
have : i < cap := Nat.lt_of_lt_le h h_size
simp [*]⟩