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Proof step 168 from proof overwrite-write-page-dirty (previous step)

ino0 ∈ icache, ino ∈ files, ino0 ∈ files ⊦ mkfile(icache[ino0].inode.size, icache[ino0].inode.meta, icache[ino0].inode.nlink, files[ino0].content ⊕ mkcontent(ino0, pcache)) = mkfile (icache[ino0].inode.size, icache[ino0].inode.meta, icache[ino0].inode.nlink, files[ino0].content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)])), icache[ino0].inode.directory, ino ∈ icache

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 169:
icache[ino0].inode = mkinode(m0, md, boolvar, m1, m2, m3), ¬ boolvar, ino0 ∈ files, ino ∈ files, ino0 ∈ icache ⊦ mkfile(m3, md, m1, files[ino0].content ⊕ mkcontent(ino0, pcache)) = mkfile(m3, md, m1, files[ino0].content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)])), ino ∈ icache

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [icache[ino0].inode, m0, md, boolvar, m1, m2, m3]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: icache[ino0].inode, m0, md, boolvar, m1, m2, m3