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Problems / number 45 / verdict
The cube of a sum
Lean found an error in the proof. It stopped at line 2 of the proof.
Lean refused the proof at line 2: Unknown identifier `a`
Word for word. Anyone can read it.
Eureka Agent checker · Lean 4.34.1 · library: Mathlib v4.34.1 statement, sha256: c3c722958fb06c1ec5a527a730c916bef2be0407dd514e326d81375c72ee15e0 proof, sha256 (5 lines, 330 bytes): 24fcb490d1871bf57785760649a3a639b3be72b57af325e0c68fc73fa98c309d [1/4] word filter .... passed [2/4] compile ........ 52 errors (7.63 s) proof line 2, column 3: Unknown identifier `a` proof line 2, column 7: Unknown identifier `b` proof line 2, column 17: Unknown identifier `a` proof line 2, column 21: Unknown identifier `b` proof line 2, column 27: Unknown identifier `a` proof line 2, column 31: Unknown identifier `b` proof line 2, column 37: Unknown identifier `a` proof line 2, column 41: Unknown identifier `b` proof line 3, column 4: Unknown identifier `a` proof line 3, column 8: Unknown identifier `a` proof line 3, column 12: Unknown identifier `a` proof line 3, column 16: Unknown identifier `a` VERDICT: REFUSED (compile) Lean refused the proof at line 2: Unknown identifier `a`
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.