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Proof step 3 from proof replay-cons-add-orphan (previous step)

log-cons(log, fs) ⊦ replay-cons-strong(fs, ri, ro ++ inodekey(ino), fi, fo, log) ↔ replay-cons-strong(fs, ri ⊖ inodekey(ino), ro, fi, fo, log)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ replay-cons-strong(fs, ri, ro, fi, fo, log) ↔ replay-safe(log, fs, fi ⊖ fo) ∧ replay(log, fs, fi, fo) = ri ⊖ ro
Proof step 5:
log-cons(log, fs) ⊦ replay-safe(log, fs, fi ⊖ fo) ∧ replay(log, fs, fi, fo) = ri ⊖ (ro ++ inodekey(ino)) ↔ replay-cons-strong(fs, ri ⊖ inodekey(ino), ro, fi, fo, log)

Rule argument

spec: <toplevel> name: replay-cons-strong seq: ⊦ replay-cons-strong(fs, ri, ro, fi, fo, log) ↔ replay-safe(log, fs, fi ⊖ fo) ∧ replay(log, fs, fi, fo) = ri ⊖ ro subst: [log, fo, fi, ro, ri, fs] → [log, fo, fi, ro ++ inodekey(ino), ri, fs] flags: <all paths>

Additional information

Used terms: log, fo, fi, ro ++ inodekey(ino), ri, fs