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:
  f64cfead265d693e6b3fdef2395b48da8984d67f8fa16780064a80c8c2ee3b55
proof, sha256 (6 lines, 141 bytes):
  8d850287054fe9262672e32a6c59d0e7f73957dfe8a2a9f677727f7c78011a77

[1/4] word filter .... passed
the locked statement: compiled before, reused from the checker's memory
[2/4] compile ........ no errors, 0 warnings (8.07 s)
[3/4] kernel replay .. passed (5.60 s)
[4/4] audit .......... passed (4.37 s)
      the statement proved is the locked statement
      axioms under the proof: propext

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.