lean4-htt/tests/lean/run/DVec.lean
jrr6 995fa4766b
fix: reduce ambiguity of "final" in application type mismatch message (#8322)
This PR refines the new wording of the "application type mismatch" error
message to avoid ambiguity in references to the "final" argument in a
subexpression that may be followed by additional arguments.

It does so by replacing "final" with "last," rephrasing the message so
that this adjective modifies the argument itself rather than the word
"argument," and only displaying this wording when two arguments could be
confused (determined by expression equality).

These changes were motivated by a report that in cases where a function
application `f a b c` fails to elaborate because `b` is incorrectly
typed, the existing error message's reference to `b` being the "final"
argument in the application `f a b` may create confusion because it is
not the final argument in the full application expression.
2025-05-14 16:12:10 +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: In the application
@DVec.hd ?_ v
the argument
v
has type
Vec Nat 1 : Type
but is expected to have type
TypeVec (?_ + 1) : Type (_ + 1)
-/
#guard_msgs in set_option pp.mvars false in
example (v : Vec Nat 1) : Nat :=
v.hd