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Proof step 152 from proof overwrite-write-page-clean (previous step)

files[ino] = mkfile(m2, md0, m3, content0), icache[ino] = mkientry(boolvar, mkinode(m0, md, false, m1, m4, m5)), ino ∈ icache, ino ∈ files ⊦ (∅)[n] = content0[m, buf][n], datakey(ino, n) = datakey(ino, m), n ∈ content0, datakey(ino, n) ∈ pcache

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: file-content name: At-other seq: ⊦ n ≠ n0 → content[n0, buf][n] = content[n] subst: [n, buf, n0, content] → [n, buf, m, content0] flags: <all paths>

Additional information

Used simplifier rules: ⊦ ¬ n ∈ content → content[n] = (∅)[n]; (s) Used terms: n, buf, m, content0