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Proof step 11 from proof replay-cons-add-orphan (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: node-index name: k-Extension seq: ⊦ ri = ri0 ↔ (∀ key. (key ∈ ri ↔ key ∈ ri0) ∧ (key ∈ ri → ri[key] = ri0[key])) subst: [ri0, ri] → [(ri ⊖ inodekey(ino)) ⊖ ro, ri ⊖ (ro ++ inodekey(ino))] flags: <all paths>

Additional information

Used terms: (ri ⊖ inodekey(ino)) ⊖ ro, ri ⊖ (ro ++ inodekey(ino))