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Proof step 3 from proof ubifs-cons-dentry-target-not-in-orphans (previous step)

fs[ri[dentrykey(ino, str)]] = dentrynode(key, m), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(ino) ∈ ri, inodekey(m) ∈ ro, dentrykey(ino, str) ∈ ri ⊦ # ro = 0, ro = ∅

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ubifs-cons(fs, ri, ro, fi, fo, log) ↔ ¬ inodekey(0) ∈ ri ∧ ri-cons(ri, fs) ∧ log-cons(log, fs) ∧ ¬ dups(log) ∧ ri-closed(ri, fs, ro) ∧ ro.inodes? ∧ fo.inodes? ∧ ro ⊆ dom ri ∧ fo ⊆ dom fi
Proof step 5:
fs[ri[dentrykey(ino, str)]] = dentrynode(key, m), ro.inodes?, fo.inodes?, log-cons(log, fs), ri-closed(ri, fs, ro), ri-cons(ri, fs), dentrykey(ino, str) ∈ ri, inodekey(m) ∈ ro, inodekey(ino) ∈ ri, ro ⊆ dom ri, fo ⊆ dom fi ⊦ # ro = 0, ro = ∅, dups(log), inodekey(0) ∈ ri

Rule argument

spec: aubifs-inv name: ubifs-cons seq: ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) ↔ ¬ inodekey(0) ∈ ri ∧ ri-cons(ri, fs) ∧ log-cons(log, fs) ∧ ¬ dups(log) ∧ ri-closed(ri, fs, ro) ∧ ro.inodes? ∧ fo.inodes? ∧ ro ⊆ dom ri ∧ fo ⊆ dom fi subst: [log, fo, fi, ro, ri, fs] → [log, fo, fi, ro, ri, fs] flags: <all paths>

Additional information

Used terms: log, fo, fi, ro, ri, fs