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Proof step 2 from proof valid-parent-ino-precond (previous step)

abs-keys(ro) = abs-keys(orphans(fs, ri)), fs[ri[inodekey(m)]].directory, fo.inodes?, ro.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), log-cons(log, fs), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(m) ∈ ri, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO ⊦ valid-parent-ino(m, fs, ri, ro)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
abs-keys(ro) = abs-keys(orphans(fs, ri)), fs[ri[inodekey(m)]].directory, ro.inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), log-cons(log, fs), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(m) ∈ ri, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO ⊦ (fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO) ∧ ¬ inodekey(m) ∈ ro

Rule argument

Additional information

Used simplifier rules: ⊦ valid-dir-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory; (s)%⊦ valid-parent-ino(ino, fs, ri, ro) ↔ ( valid-dir-ino(ino, fs, ri) ∧ (fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO)) ∧ ¬ inodekey(ino) ∈ ro; (s)