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lean4/tests/elab/inductive1.lean.out.expected
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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L1.{u} (α : Type u) : Type u
@L1.cons : {α : Type u_1} → α → L1 α → L1 α
@L2.cons : {α : Type u_1} → α → L2 α → L2 α
@A.cons : {α : Type u_1} → {β : Type u_2} → α → β → A α β → A α β
A.nil : A Nat Bool
isEven : Nat → Prop
isOdd.s (n : Nat) : isEven n → isOdd (n + 1)
@isEven.rec : ∀ {motive_1 : (a : Nat) → isEven a → Prop} {motive_2 : (a : Nat) → isOdd a → Prop},
motive_1 0 isEven.z →
(∀ (n : Nat) (a : isOdd n), motive_2 n a → motive_1 (n + 1) ⋯) →
(∀ (n : Nat) (a : isEven n), motive_1 n a → motive_2 (n + 1) ⋯) → ∀ {a : Nat} (t : isEven a), motive_1 a t
@V.nil : {α : Type u_1} → V α 0
@V.cons : {α : Type u_1} → {n : Nat} → α → V α n → V α (n + 1)
@V.rec : {α : Type u_2} →
{motive : (a : Nat) → V α a → Sort u_1} →
motive 0 V.nil →
({n : Nat} → (a : α) → (a_1 : V α n) → motive n a_1 → motive (n + 1) (V.cons a a_1)) →
{a : Nat} → (t : V α a) → motive a t
@V.noConfusion : {P : Sort u_1} →
{α : Type u_2} →
{a : Nat} →
{t : V α a} → {α' : Type u_2} → {a' : Nat} → {t' : V α' a'} → α = α' → a = a' → t ≍ t' → V.noConfusionType P t t'
@V.brecOn : {α : Type u_2} →
{motive : (a : Nat) → V α a → Sort u_1} →
{a : Nat} → (t : V α a) → ((a : Nat) → (t : V α a) → V.below t → motive a t) → motive a t
@V.casesOn : {α : Type u_2} →
{motive : (a : Nat) → V α a → Sort u_1} →
{a : Nat} →
(t : V α a) → motive 0 V.nil → ({n : Nat} → (a : α) → (a_1 : V α n) → motive (n + 1) (V.cons a a_1)) → motive a t
@V.recOn : {α : Type u_2} →
{motive : (a : Nat) → V α a → Sort u_1} →
{a : Nat} →
(t : V α a) →
motive 0 V.nil →
({n : Nat} → (a : α) → (a_1 : V α n) → motive n a_1 → motive (n + 1) (V.cons a a_1)) → motive a t
@V.below : {α : Type u_2} → {motive : (a : Nat) → V α a → Sort u_1} → {a : Nat} → V α a → Sort (max (u_2 + 1) u_1)
tst : Dec True
@T1.mk : {β : Type u_1} → β → β → T1 β
@MyEq.refl : ∀ {α : Type} {a : α}, MyEq a a