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Formal-conjectures Lean proofs (kernel-verified)

constellation seal · derived from vfr_97d7d25957384f80
id
vfr_97d7d25957384f80
license
CC-BY-4.0
findings
2
accepted core
0
contested
0
links
0
sources
2
evidence
2
avg conf
0.99

used by 0 · replayed by 0 · first seat open

e4/4 · finding.asserted · reviewer:will · 2026-06-03 · null→5d1d

Reviewable change

back to review

add a finding

verified — A frozen deterministic verifier re-checked the claim and passed.accepted

The Lean 4 theorem `Erdos1054.f_undefined_at_2` — f 2 = 0 — for the Erdős-1054 function f(n) = least m such that n is a sum of the k smallest divisors of m (some k ≥ 1), f is UNDEFINED at n=2 (junk value 0). Proof: any such sum is 1 + R where the i=0 term is the least divisor 1 and every other term is 0 or a strictly larger divisor (≥ 2), so the sum is never 2. — is formally proven and kernel-verified in formal-conjectures (zero `sorry`, no extra axioms). Verifier: lean4-kernel + Mathlib v4.27.0 (lake build green; `#print axioms` = [propext, Classical.choice, Quot.sound] only — NO sorryAx).

id
vpr_46734a4a9d2acfe0
frontier
Formal-conjectures Lean proofs (kernel-verified)
kind
finding.add
created
2026-06-03
findings
+1
state
null → 5d1df621

accept gate

1 of 4 on record
signature
reviewer:will · no key registered on this bundle
chain
null → 5d1df621
witness
no verifier attachment on record for this target
grade
in state · unreviewed

timeline

  1. 2026-06-03proposeproposed · finding.addagent — machine actor, no signing keyagent:canopus-lean-2026-06-03vpr_46734a4a9d2acfe0Candidate claim vc_c0bc8dce9a810f0b imported from artifact packet cap_6fcdb44f3a2ff0c6
  2. 2026-06-03acceptfinding.assertedreviewer:willreviewer:willnull5d1df621vev_8e115d71ace1e871Candidate claim vc_c0bc8dce9a810f0b imported from artifact packet cap_6fcdb44f3a2ff0c6

proposed

reason

Candidate claim vc_c0bc8dce9a810f0b imported from artifact packet cap_6fcdb44f3a2ff0c6

finding type

theoretical

proposed confidence

0.99

confidence basis

agent-imported candidate claim; reviewer acceptance required

provenance

proposed by

agent — machine actor, no signing keyagent:canopus-lean-2026-06-03

actor type

agent

created at

2026-06-03

target type

finding

The Lean 4 theorem `Erdos1054.f_undefined_at_2` — f 2 = 0 — for the Erdős-1054 function f(n) = least m such that n is a sum of the k smallest divisors of m (some k ≥ 1), f is UNDEFINED at n=2 (junk value 0). Proof: any such sum is 1 + R where the i=0 term is the least divisor 1 and every other term is 0 or a strictly larger divisor (≥ 2), so the sum is never 2. — is formally proven and kernel-verified in formal-conjectures (zero `sorry`, no extra axioms). Verifier: lean4-kernel + Mathlib v4.27.0 (lake build green; `#print axioms` = [propext, Classical.choice, Quot.sound] only — NO sorryAx).

vf_b8e3badb634a19a0

Diff

Read-only frontier; diff not recomputed.

Review chain

  1. 01request

    Change request

    Formal-conjectures Lean proofs (kernel-verified) receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.

    open review
  2. 02packet

    Diff packet

    The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.

    open the campaign
  3. 03checks

    Check output

    Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.

    inspect checks
  4. 04review

    Reviewer decision

    A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.

    read queue
  5. 05accepted

    Accepted event

    Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.

    inspect events

finding.noted · reviewer:will-blair · 1 day

renders the record as of vev_d199cb2e · 1,338 events · hub

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