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Proof step 27 from proof pcache-overwrite-read-page (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
files[ino] = mkfile(m1, md0, m2, content0), n ∈ content0, ino ∈ files ⊦ content0[n] = (content0 ⊕ mkcontent(ino, pcache))[n], datakey(ino, n) ∈ pcache

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)% ⊦ key ∈ pcache[key0, pe] ↔ key = key0 ∨ key ∈ pcache; (ws)%⊦ mkpentry(boolvar, buf) = mkpentry(boolvar0, buf0) ↔ (boolvar ↔ boolvar0) ∧ buf = buf0; (ws)% ⊦ pcache[key, pe][key] = pe; (s)% ⊦ datakey(m, m0) = datakey(m1, m2) ↔ m = m1 ∧ m0 = m2; (ws)