lean4-htt/tests/elab/DVec.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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/-- A `Vec` is just a `List α` of statically known size -/
def Vec (α : Type _) (n : Nat) : Type _
:= Fin n → α
abbrev TypeVec : Nat → Type _
:= Vec (Type _)
/-- A dependent vector is a heterogeneous list of statically known size -/
def DVec {n : Nat} (αs : TypeVec n) : Type _
:= (i : Fin n) → (αs i)
/-- A vector that repeats a single element `a` -/
def Vec.const {α : Type _} (a : α) (n : Nat) : Vec α n
:= fun _ => a
/- `Vec` is defeq to a `DVec` with constant type -/
unif_hint (α : Type _) (n : Nat) where
|- Vec α n =?= DVec (Vec.const α n)
namespace DVec
def hd {n : Nat} {αs : TypeVec (n+1)} (v : DVec αs) : (αs 0)
:= v 0
end DVec
namespace Vec
export DVec (hd)
end Vec
def ts : TypeVec 1 := Vec.const Nat 1
-- works
example (v : DVec ts) : Nat :=
v.hd
-- works
example (v : Vec Nat 1) : Nat :=
DVec.hd v
#check @Vec.hd
-- Does not work: Aliases find that `v` could be the `TypeVec` argument since `TypeVec` is an abbrev for `Vec`.
/--
error: Application type mismatch: The argument
v
has type
Vec Nat 1
of sort `Type` but is expected to have type
TypeVec (?_ + 1)
of sort `Type (_ + 1)` in the application
@DVec.hd ?_ v
-/
#guard_msgs in set_option pp.mvars false in
example (v : Vec Nat 1) : Nat :=
v.hd