lean4-htt/tests/elab/unifhint1.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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structure Magma.{u} where
α : Type u
mul : ααα
def Nat.Magma : Magma where
α := Nat
mul a b := a * b
def Prod.Magma (m : Magma.{u}) (n : Magma.{v}) : Magma where
α := m.α × n.α
mul | (a₁, b₁), (a₂, b₂) => (m.mul a₁ a₂, n.mul b₁ b₂)
instance : CoeSort Magma.{u} (Type u) where
coe m := m.α
def mul {s : Magma} (a b : s) : s :=
s.mul a b
/-- hi -/
unif_hint (s : Magma) where
s =?= Nat.Magma |- s.α =?= Nat
unif_hint (s : Magma) (m : Magma) (n : Magma) (β : Type u) (δ : Type v) where
m.α =?= β
n.α =?= δ
s =?= Prod.Magma m n
|-
s.α =?= β × δ
def f1 (x : Nat) : Nat :=
mul x x
#guard f1 10 == 100
def f2 (x y : Nat) : Nat × Nat :=
mul (x, y) (x, y)
#guard f2 10 20 == (100, 400)
def f3 (x y : Nat) : Nat × Nat × Nat :=
mul (x, y, y) (x, y, y)
#guard f3 7 24 == (49, 576, 576)