google-deepmind / google-deepmind/formal-conjectures
Paper/Homogenous: `countablyMonolithicSpace_exists_nhds_generated_countable`: ω-monolithic, not monolithic
- Dominant language
- Lean
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Description
`Homogeneous.countablyMonolithicSpace_exists_nhds_generated_countable` assumes only `CountablyMonolithicSpace X`, that closures of countable subsets are metrizable, whereas Problem 17 in the source asks about monolithic compact spaces, where the closure of every subset of infinite cardinality κ has weight at most κ, so the Lean statement asks a stronger question under a weaker hypothesis.
https://tadamcz.com/fc-review-results/c90271f0fa/#/f/Paper/Homogenous
- 1 misformalization
- 1 minor
- 1 equivalent reformulation
- trivial proof: bailed out
- fix compiles
Found by a language-model audit of the repository at c90271f0fa. Not reviewed by a human. This issue's title and description were written by a language model as well.
Contributor guide
Research direction
Locate `Homogeneous.countablyMonolithicSpace_exists_nhds_generated_countable` in the Paper/Homogenous formalization and compare its hypotheses and conclusion with Problem 17 in the linked source. Confirm the corrected statement expresses monolithic compact spaces as intended, then run the relevant Lean checks to ensure the formalization compiles.
Written by the indexing model from the issue text.
Assessment
- Domain
- content
- Issue type
- Bug
- Difficulty
- 3/5
- Estimated time
- 1-2 days
- Activity status
- Active
- Clarity
- Mostly clear
- Newbie friendliness
- 68/100