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Proof step 843 from proof overwrite-write-page-clean (previous step)

(ino0 = ino ⊃ mkfile(m2, md0, m3, content0[m, buf]);files[ino0]) = mkfile(m4, md1, m5, content1), files[ino] = mkfile(m2, md0, m3, content0), ino0 = ino, ino0 ∈ files, ino ∈ files ⊦ mkfile(m2, md0, m3, (content0 ⊕ mkcontent(ino, pcache))[m, buf]) = mkfile(m4, md1, m5, content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])), ino ∈ icache, ino0 ∈ icache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 844:
files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files ⊦ (content0 ⊕ mkcontent(ino, pcache))[m, buf] = content0[m, buf] ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(false, buf)]), ino ∈ icache

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)