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Proof step 60 from proof refine-write (previous step)

of0[fd] = mkfile(m, mode, m0), abs-of(of0)[fd] = mkfh(fid, mode0, m1), root.dir?, dom of0 < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of0)), of-cons(of0, dirs, files), files0 ~ files, n ≤ # buf, psynced0 → asynced, fd ∈ of0 → mode ≠ MODE_W ∧ mode ≠ MODE_RW ⊦ abs-files(files) = abs-files(files0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 61:
⊦ files0 ~ files1 → abs-files(files0) = abs-files(files1)

Rule argument

spec: vfs-abs name: abs-files-cong seq: ⊦ files0 ~ files1 → abs-files(files0) = abs-files(files1) subst: [files1, files0] → [files, files0] flags: <all paths>

Additional information

Used terms: files, files0