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Proof step 34 from proof overwrite-write-inode-clean-file (previous step)

files[ino0] = mkfile(m6, md2, m7, content0), icache[ino] = mkientry(boolvar, mkinode(m0, md0, false, m1, m2, m3)), files[ino] = mkfile(m4, md1, m5, content), ino ∈ icache, ino ∈ files, ino0 ∈ files ⊦ mkfile(m6, md2, m7, content0 ⊕ mkcontent(ino0, pcache)) = ((files[ino, mkfile(m, md, m5, content)] ⊕ pcache) ⊕ icache[ino, mkientry(false, mkinode(m0, md, false, m1, m2, m))])[ino0], ino0 ∈ icache, ino0 ∈ icache[ino, mkientry(true, mkinode(m0, md, false, m1, m2, m))]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
files[ino] = mkfile(m4, md1, m5, content), icache[ino] = mkientry(boolvar, mkinode(m0, md0, false, m1, m2, m3)), files[ino0] = mkfile(m6, md2, m7, content0), ino0 ∈ files, ino ∈ files, ino ∈ icache ⊦ mkfile(m6, md2, m7, content0 ⊕ mkcontent(ino0, pcache)) = ((files[ino, mkfile(m, md, m5, content)] ⊕ pcache) ⊕ icache[ino, mkientry(false, mkinode(m0, md, false, m1, m2, m))])[ino0], ino0 ∈ icache

Rule argument

Additional information

Used simplifier rules: ⊦ ino ∈ icache[ino0, ie] ↔ ino = ino0 ∨ ino ∈ icache; (ws)