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Proof step 8 from proof replay-orphans-data (previous step)

⊦ datakey(ino, n) ∈ ro, inodekey(ino) ∈ ro, datakey(ino, n) ∈ ri[datakey(ino, n), adr] ⊖ ro ∧ adr = (ri[datakey(ino, n), adr] ⊖ ro)[datakey(ino, n)]

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

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

Additional information

Used simplifier rules: ⊦ key ∈ ri[key, adr]; (s) Used terms: n, ino, ro, ri[datakey(ino, n), adr]