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The headline theorem asserts optimality of (n/(n+1))^n for every positive finite n in the strict unit-slack event.
Public formal source; execution and statement correspondence are separate checks.
1 cited passage ↓1 problem ↓Record 19c61d6cb556d1e967dbb0ada9f293c290837867 ↓
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The headline theorem asserts optimality of (n/(n+1))^n for every positive finite n in the strict unit-slack event.
Passage ID: feige-conjecture:entry:lean:v1
Source item: lean
Source record: feige-conjecture:source:lean:v1
Explicit citations in versioned problem publications. A citation records a use; it does not confer proof or independent verification.
Problem publication v7
Source assessment
Proved
Unit-slack optimality reported complete in Lean
The pinned source targets δ = 1 only; no general-δ formal proof is attributed to it.
Observed Oct 13, 2026
Bound
Unit-slack probability
Construction
A finite-dimensional extremizer
Formal declaration
Sharp finite-dimensional Feige inequality
History
Unit-slack optimality has a public Lean proof
Question
Feige’s probability conjecture
Further reading
Inspect the formal statement, assumptions and reported checks.
Linked manuscripts, code and data. External proof reports, statement correspondence and OpenMath execution are separate checks.
Formal code
No OpenMath execution recorded
Exact source inspected; OpenMath has not executed this formal proof project.
Resource revision: 19c61d6cb556d1e967dbb0ada9f293c290837867
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61807ad8500eca72545c86ad34ae2e3569bff83f713d1251b97b19b59e425ec1Complete formal proof reported externally
Lean 4 proof reports complete fixed-n optimality for δ = 1. It does not certify the July δ-dependent theorem or Ling’s Samuels proposal. Source definitions quantify over measurable, integrable, pointwise nonnegative independent variables on probability spaces.
Statement match: Linked by OpenMath · independent review separate · checked Oct 13, 2026
PalomarFeige.sharp_unit_slack_feige_completeCommit 19c61d6cb556d1e967dbb0ada9f293c290837867
Recorded authorship
Guanyang Wang · Peng Zhang
Guanyang Wang, Peng Zhang
The project credits GPT-5.6 Sol Codex for formalization. This is a different contribution from the July discovery model. Authors report verification; OpenMath has not executed it.
OpenMath source records preserve exact citations. Observation dates order these records; they do not establish the latest upstream paper or proof.
Lean proof of the sharp unit-slack Feige bound
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