lean4-htt/tests/lean/run/DVec.lean
Joachim Breitner 8424ddbb3e
feat: prettier expected type mismatch error message (#9099)
This PR improves the “expected type mismatch” error message by omitting
the type's types when they are defeq, and putting them into separate
lines when not.

I found it rather tediuos to parse the error message when the expected
type is long, because I had to find the `:` in the middle of a large
expression somewhere. Also, when both are of sort `Prop` or `Type` it
doesn't add much value to print the sort (and it’s only one hover away
anyways).
2025-07-01 07:50:53 +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: In the application
@DVec.hd ?_ v
the argument
v
has type
Vec Nat 1
of sort `Type` but is expected to have type
TypeVec (?_ + 1)
of sort `Type (_ + 1)`
-/
#guard_msgs in set_option pp.mvars false in
example (v : Vec Nat 1) : Nat :=
v.hd