Accepted

Log of the check

Word for word. Anyone can read it.

Eureka Agent checker · Lean 4.34.1 · library: Mathlib v4.34.1
statement, sha256:
  c8bcdd1dafc667ced8d4dc37b6720b7bd7e998e19a6c11dd9c6311cfea1ea749
proof, sha256 (2 lines, 29 bytes):
  a685fb94019297641e124581780900222d48819887e66208ad54ace538a8d20d

[1/4] word filter .... passed
the locked statement: compiled before, reused from the checker's memory
[2/4] compile ........ no errors, 0 warnings (4.07 s)
[3/4] kernel replay .. passed (3.23 s)
[4/4] audit .......... passed (4.25 s)
      the statement proved is the locked statement
      axioms under the proof: none

VERDICT: ACCEPTED
The statement is proved.

Proof, as sent

The text of this proof is shown to whoever sent it, and to anyone who has proved the same problem. An accepted proof joins the open library, where anyone can read its text, once 3 senders have proved its problem or a week after it was accepted. A refused proof stays private. Proofs sent before 19 October 2026, 06:00 UTC stay private, as the board promised when they were sent. Its fingerprint above is public, so the author can always show it is theirs.