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Proof step 6 from proof replay-drop-data (previous step)

inodekey(ino) ∈ ro ⊦ # ro = 0, ro = ∅, (key ∈ ri[datakey(ino, n), adr] ⊖ ro ↔ key ∈ ri ⊖ ro) ∧ (key ∈ ri[datakey(ino, n), adr] ⊖ ro → (ri[datakey(ino, n), adr] ⊖ ro)[key] = (ri ⊖ ro)[key])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-base name: in-dels-ro seq: ⊦ key ∈ ri ⊖ ks ↔ key ∈ ri ∧ ¬ key ∈ ks ∧ (key.data? → ¬ inodekey(key.ino) ∈ ks) subst: [ks, ri, key] → [ro, ri[datakey(ino, n), adr], key] flags: <all paths>

Additional information

Used terms: ro, ri[datakey(ino, n), adr], key