{"id":"toeplitz-neighbor-equivalence","text":"The Toeplitz check verifies `matrix[i][j] == matrix[i-1][j-1]` for all interior cells rather than enumerating diagonals explicitly; this is equivalent by transitivity of equality along each diagonal.","truth_value":"IN","source":"entries/2026/06/06/toeplitz-matrix-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"toeplitz-neighbor-equivalence","truth_value":"IN","reason":"premise"}]}}