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Proof step 11 from proof valid-parent-ino-precond (previous step)

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, inodekey(m) ∈ ro ⊦ # ro = 0, links(m, abs-dirs(fs, ri)) = ∅, ro = ∅

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
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, inodekey(m) ∈ ro ⊦ # links(m, abs-dirs(fs, ri)) = 0, # ro = 0, links(m, abs-dirs(fs, ri)) = ∅, ro = ∅

Rule argument

Additional information

Used simplifier rules: size-zero: ⊦ # ls ≠ 0 → ls ≠ ∅; (forward) from specification set-basic[alink-set]%size-zero-01: ⊦ ls ≠ ∅ → # ls ≠ 0; (forward) from specification set-basic[alink-set]