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
frontiers / frontier
e4/4 · finding.asserted · reviewer:will · 2026-06-03 · null→5d1d
Reviewable change
back to reviewThe 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).
accept gate
1 of 4 on recordtimeline
vpr_46734a4a9d2acfe0Candidate claim vc_c0bc8dce9a810f0b imported from artifact packet cap_6fcdb44f3a2ff0c6null→5d1df621vev_8e115d71ace1e871Candidate claim vc_c0bc8dce9a810f0b imported from artifact packet cap_6fcdb44f3a2ff0c6proposed
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:canopus-lean-2026-06-03
actor type
agent
created at
2026-06-03
target type
finding
affected
inspect 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_b8e3badb634a19a0Read-only frontier; diff not recomputed.
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