leanprover-community / leanprover-community/lean

invalid synthesis of `reflected` instances

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Dominant language
C++
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Description

Prerequisites
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    • Checked that your issue isn't already filed.
    • Reduced the issue to a self-contained, reproducible test case.
Description

The following code:

meta example {α β : Type} (a : α) (γ : α → β → Type)
  [reflected γ] [reflected a] : reflected (γ a) :=
by apply_instance

produces the error

type expected at
  α
term has type
  1

under the second α on the first line

Steps to Reproduce
  1. Make a blank file containing only the above
  2. Observe the error message

Expected behavior: Lean should construct an instance using `(γ).subst `(a)

Actual behavior: Lean spits out the nonsense error message above

Reproduces how often: Every time

Versions

Lean 3.43.0

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Create a blank Lean file containing the reproduction in the issue and run it under Lean 3.43.0 to confirm the reported error. Investigate instance synthesis for reflected γ and reflected a; done means the example constructs the expected reflected (γ a) instance using the stated substitution behavior without producing the type error.

Written by the indexing model from the issue text.

Assessment

Domain
compilers
Issue type
Bug
Difficulty
3/5
Estimated time
1-2 days
Activity status
Stale
Clarity
Clearly specified
Newbie friendliness
45/100

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