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Proof step 13 from proof at-icache-overwrite-other (previous step)

(∅)[ino] = mkientry(boolvar0, mkinode(m0, md, boolvar, m1, m2, m3)) ⊦ (files ⊕ icache[m, ie])[ino] = files[ino], ino = m, ino ∈ icache

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: cache-base name: at-icache-overwrite-not-cached seq: ⊦ ¬ ino ∈ icache → (files ⊕ icache)[ino] = files[ino] subst: [ino, icache, files] → [ino, icache[m, ie], files] flags: <all paths>

Additional information

Used simplifier rules: ⊦ ino ≠ ino0 → (ino ∈ icache[ino0, ie] ↔ ino ∈ icache); (s) Used terms: ino, icache[m, ie], files