Zulip Chat Archive

Stream: general

Topic: error after completing tactic proof


view this post on Zulip Johan Commelin (Nov 17 2018 at 06:37):

type mismatch at application
  F.map (i  functor.preimage f j) s
term
  s
has type
  ((functor.id (presheaf X)).obj F_1).obj U₁_1
but is expected to have type
  F.obj U₁
types contain aliased name(s): U₁ F
remark: the tactic `dedup` can be used to rename aliases

I have tried inserting dedup in several places, but it doesn't help. My s remains to have type ((functor.id (presheaf X)).obj F).obj U₁ in the goal window, which is defeq to F.obj U₁.

view this post on Zulip Scott Morrison (Nov 17 2018 at 07:14):

Oh, I've had this one before. The error message is completely misleading...

view this post on Zulip Scott Morrison (Nov 17 2018 at 07:15):

Check that you haven't somehow used _root_.functor somewhere that should have been category_theory.functor?

view this post on Zulip Scott Morrison (Nov 17 2018 at 07:15):

I don't remember if that was it or not.

view this post on Zulip Johan Commelin (Nov 17 2018 at 07:40):

Hmm, that sounds like a very crazy error. I'll see if I can find it.

view this post on Zulip Johan Commelin (Nov 17 2018 at 07:42):

Do you spot anything suspicious in

def counit.is_iso [fully_faithful f] : is_iso (counit f) :=
{ inv :=
  { app := λ (F : _  _),
    { app := λ U s,
      { app := λ V i, (F.map $ f.preimage i : F.obj U  F.obj V) s,
        naturality' := λ V₁ V₂ i,
        begin
          ext j,
          have := (congr $ F.map_comp (f.preimage j) i) (rfl : s = _),
          dsimp at *,
          erw  this,
          congr,
          apply f.injectivity,
          erw f.map_comp,
          tidy {trace_result := tt},
        end },
      naturality' := λ U₁ U₂ i,
      begin
        ext s V j,
        have := (congr $ F.map_comp i (f.preimage j)) (rfl : _ = _),
        dsimp at *,
        erw  this,
        congr,
        apply f.injectivity,
        erw f.map_comp,
        tidy {trace_result := tt},
      end },
    naturality' := λ F G α,
    begin
      ext U s V j,
      have := (congr $ α.naturality (f.op.preimage j)) rfl,
      tidy {trace_result := tt},
    end } }

view this post on Zulip Johan Commelin (Nov 17 2018 at 10:31):

@Scott Morrison In my case it was talking about f.preimage while that should have been f.op.preimage.
I think we should have stronger barriers between categories and their opposites. Because now stuff is silently identified, and then all of a sudden it bites you 20 lines later.

view this post on Zulip Johan Commelin (Nov 17 2018 at 10:57):

Hmm, no, that wasn't the issue... it reappeared...

view this post on Zulip Johan Commelin (Nov 17 2018 at 11:02):

I pushed an update to the sheaf branch. The trouble is with this def: https://github.com/leanprover-community/mathlib/blob/sheaf/category_theory/sheaf.lean#L241
If any of the experts would want to take a look, I would be very grateful.


Last updated: May 10 2021 at 00:31 UTC