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Proof step 12 from proof pcache-overwrite-read-page (previous step)

files[ino0] = mkfile(m1, md0, m2, content0), files[ino] = mkfile(m, md, m0, content), n ∈ content, ino ∈ files, ino0 ∈ files ⊦ datakey(ino, n) ∈ pcache, ∀ n0. (n0 ∈ content0 ⊕ mkcontent(ino0, pcache[datakey(ino, n), mkpentry(false, content[n])]) ↔ n0 ∈ content0 ⊕ mkcontent(ino0, pcache)) ∧ (content0 ⊕ mkcontent(ino0, pcache[datakey(ino, n), mkpentry(false, content[n])]))[n0] = (content0 ⊕ mkcontent(ino0, pcache))[n0]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
files[ino] = mkfile(m, md, m0, content), files[ino0] = mkfile(m1, md0, m2, content0), ino0 ∈ files, ino ∈ files, n ∈ content ⊦ datakey(ino, n) ∈ pcache, (n0 ∈ content0 ⊕ mkcontent(ino0, pcache[datakey(ino, n), mkpentry(false, content[n])]) ↔ n0 ∈ content0 ⊕ mkcontent(ino0, pcache)) ∧ (content0 ⊕ mkcontent(ino0, pcache[datakey(ino, n), mkpentry(false, content[n])]))[n0] = (content0 ⊕ mkcontent(ino0, pcache))[n0]

Proof step 12 from proof pcache-overwrite-read-page (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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