lean4-htt/tests/elab/casesRec.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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namespace Ex1
def f (x : Nat) : Nat := by
cases x with
| zero => exact 1
| succ x' =>
apply Nat.mul 2
exact f x'
#guard f 10 == 1024
example : f x.succ = 2 * f x := by rw [f]; rfl
end Ex1
namespace Ex2
inductive Foo where
| mk : List Foo → Foo
mutual
def g (x : Foo) : Nat := by
cases x with
| mk xs => exact gs xs
def gs (xs : List Foo) : Nat := by
cases xs with
| nil => exact 1
| cons x xs =>
apply Nat.add
exact g x
exact gs xs
end
end Ex2
namespace Ex3
inductive Foo where
| a | b | c
| pair: Foo × Foo → Foo
def Foo.deq (a b : Foo) : Decidable (a = b) := by
cases a <;> cases b
any_goals apply isFalse Foo.noConfusion
any_goals apply isTrue rfl
case pair a b =>
let (a₁, a₂) := a
let (b₁, b₂) := b
exact match deq a₁ b₁, deq a₂ b₂ with
| isTrue h₁, isTrue h₂ => isTrue (by rw [h₁,h₂])
| isFalse h₁, _ => isFalse (fun h => by cases h; cases (h₁ rfl))
| _, isFalse h₂ => isFalse (fun h => by cases h; cases (h₂ rfl))
end Ex3