frontiers / frontier

Formal-conjectures Lean proofs (kernel-verified)

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

Source record

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cap_4af431152a035fa4 · vc_6c8d56f8a59a3179

id: vs_94dd1c5ae2f69a7c
frontier: Formal-conjectures Lean proofs (kernel-verified)
type: synthetic_report

source boundary

frontier-owned

synthetic

finding bindings

record context

1 findings

evidence atoms

materialized

1 atoms

review context

inspectable

1 events

1 reviewable changes and 0 evaluations are attached through this source or its findings.

citation

external source

locator

title:cap_4af431152a035fa4 · vc_6c8d56f8a59a3179

imported

2026-06-03T12:00:00+00:00

extraction mode

artifact_to_state_import

authors

Canopus Lean proof-search adapter

caveats

source requires human review before being treated as evidence

Bound findings

The Lean 4 theorem `Erdos961.erdos_961.variants.sylvester_schur_1_1` — Erdos961Prop 1 1 (the n=k=1 instance of Sylvester–Schur: every m ≥ 2 has, in {m}, an element that is not 2-smooth) — is formally proven and kernel-verified in formal-conjectures (zero `sorry`, no extra axioms). Verifier: lean4-kernel + Mathlib (lake build green; the declaration's proof term carries no `sorry` and no extra axioms).
theoretical · vf_bc277af6cc7a3216

Evidence atoms

vea_b53ceae60594ba42computational · supports
{"artifact_id":"va_370c3b127f446b92","artifact_packet_id":"cap_4af431152a035fa4","candidate_claim_id":"vc_6c8d56f8a59a3179"}

Review, event, and evaluation records

events

vev_8a6a56bd6ea7c014finding.asserted
Candidate claim vc_6c8d56f8a59a3179 imported from artifact packet cap_4af431152a035fa4
reviewer:will · 2026-06-03

reviewable changes

vpr_46edf17cebcd34d7finding.add
Candidate claim vc_6c8d56f8a59a3179 imported from artifact packet cap_4af431152a035fa4
applied · agent:canopus-lean-2026-06-03 · 2026-06-03

evaluations

No evaluation rows are attached.