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Proof step 974 from proof overwrite-write-page-clean (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 975:
files[ino0] = mkfile(m4, md1, m5, content1), files[ino] = mkfile(m2, md0, m3, content0), ino0 ∈ files, ino ∈ files ⊦ datakey(ino, n) = datakey(ino, m), ino0 = ino, ino ∈ icache, ino0 ∈ icache, datakey(ino, n) ∈ pcache, (n ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])) ∧ (content1 ⊕ mkcontent(ino0, pcache))[n] = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n]

Rule argument

Additional information

Used simplifier rules: in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;% ⊦ key ∈ pcache[key0, pe] ↔ key = key0 ∨ key ∈ pcache; (ws)