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Erdős problem 80

Erdős problem 80

Result history

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No proposed change is retained for this Problem, so there is nothing to show a decision on.

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:bc904392846098ed5491ec571abe2332ea798bc0e037a0fc9a3929741f315649
Metadata
sha256:38843f4343be67d1bbfad1011b3da5d4f8bf718d2cf86959170b9e87d7602dc5
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:c369e1c1fbef20ee5ec8c24726fe952d10fddd544634c356a9dcc3b12f688d0b
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

Source review

1 exact matching record

Native pull-request state, mechanical checks, semantic findings, and artifact availability are separate source facts. None is a Vela Verification, Decision, or change to Math Standing.

Formal Conjectures PR #4830

FormalConjectures/ErdosProblems/80.lean

PR mergedreview approvedsource audit: needs revision
failsemantic

hypothesis satisfiability

At exact PR 4830 head e2e2a606/blob 9dd6a993, Admissible requires c*n^2 edges in a simple n-vertex graph while the theorem quantifies over every c>0.

Witness: At c=2 and n=100 the hypothesis needs 20000 edges, but a simple graph has at most 4950; the admissible set is empty and sInf is 0.

Limit: The witness establishes the vacuity defect at the stated parameter, not a replacement theorem.

Read-only projection

Approval and merge remain upstream PR state. A passing build does not establish semantic fidelity. An unavailable artifact identity is not a proof failure.

Adapter conformance 9 / 9: exact source revision, bounded complete reads, typed roots, custody, implementation identity, reconstructibility, unsupported-state refusal, rights, and lifecycle semantics.

Web read projection
sha256:ca753f3b6ad07fd62ef1035ae56de1646cb2133dd1705f991bf29a2bd7da2780
Math source projection
sha256:1a90cbe1732e21e730753a12e6b3b1ecbd3e0019a287a5ba001c9a9fdccf881b
Adapter profile
sha256:6491df603d880f00dc7e69cb0817fda1a0d903efee3812c5af3c7b3e02773303
Adapter contract
sha256:5de25828202d0682f8ac39c2e58e5d9ed7a3f0474910d77c1c4e641a08543615

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