evidence boundary
supportsfrontiers / frontier
Erdős problems frontier
- id
- vfr_37aec80d874a0239
- license
- CC-BY-4.0
- findings
- 1,256
- accepted core
- 6
- contested
- 0
- links
- 17
- sources
- 1,234
- evidence
- 1,256
- avg conf
- 0.98
e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null
Evidence atom
back to sources{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_aa37c7f625291d3b"}
- id
- vea_58eb7de01c55f766
- frontier
- Erdős problems frontier
- source
- vs_2ddcc2f1849d15d6
- finding
- vf_d8e9f7fe0cf1ce49
finding binding
boundopen_question
Erdős Problem #1067 has status 'disproved (lean)'. Statement: Does every graph with chromatic number $\aleph_1$ contain an infinitely connected subgraph with chromatic number $\aleph_1$? Komjáth [Ko13] proved that it is consistent that the answer is no. This was improved by Soukup [So15], who constructed a counterexample using no extra set-theoretical assumptions. A simpler elementary example was given by Bowler and Pitz [BoPi24]. This was formalized in Lean by Alexeev using Aristotle and Aleph Prover. Topics: graph theory, set theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_aa37c7f625291d3b
vs_2ddcc2f1849d15d6
review context
unverified1 events
1 reviewable changes and 0 evaluation records target this atom or its bound objects.
statement
{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_aa37c7f625291d3b"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_8db134fae9ba552b
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_8d7fce756da895c5finding.assertedCandidate claim vc_aa37c7f625291d3b imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_d1d6ee541aae8350finding.addCandidate claim vc_aa37c7f625291d3b imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.