leanprover / leanprover/lean4

Spurious message "stuck at solving universe constraint"

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bug P-medium
Dominant language
Lean
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Description

Prerequisites

Please put an X between the brackets as you perform the following steps:

Description

Consider the code:

example : Type := Nat -> Nat.

This might be partially written code being edited, to be continued with an attribute of Nat, or the dot at the end may be a typo.

The issue is about the error messages. Lean correctly reports

invalid field notation, identifier or numeral expected

but also gives an extra error message which seems spurious to me:

stuck at solving universe constraint
  imax 1 ?u.4 =?= 1
while trying to unify
  Sort (imax 1 ?u.4) : Type (imax 1 ?u.4)
with
  Type : Type 1
Context

https://proofassistants.stackexchange.com/q/4961/

Versions

Lean 4.20.0-nightly-2025-05-06 on live.lean-lang.org

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

Start with the minimal example : Type := Nat -> Nat. reproduced on live.lean-lang.org using the Lean nightly version from the report. Trace how diagnostics are produced for the invalid field notation and identify why the universe-constraint message is also emitted; done when the intended invalid-field error remains without the spurious universe 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
Mostly clear
Newbie friendliness
48/100

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