| ⊦ ¬ ino ∈ files ∧ ino ≠ 0 → abs-files(files)[⌜ino⌝ , mkfile(md, mkbuf(0))] = abs-files((files ++ ino)[ino, mkfile(0, md, 1, ∅)]) |
⊦ abs-files(files)[⌜ino⌝ , mkfile(md, mkbuf(0))] = abs-files((files ++ ino)[ino, mkfile(0, md, 1, ∅)]), ino = 0, ino ∈ files