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Proof step 342 from proof fsync-pages-keep-abs (previous step)

# buf = VFS_PAGE_SIZE, (ino = m ⊃ mkfile(m0, md, m1, content[n, buf]);mkfile(m7, md1, m8, content0)) = mkfile(m11, md3, m12, content2), files0[m] = mkfile(m0, md, m1, content), pcache[datakey(m, n)] = mkpentry(true, buf), icache[ino] = mkientry(boolvar, mkinode(m3, md0, false, m4, m5, m6)), files0[ino] = mkfile(m7, md1, m8, content0), files1[ino] = mkfile(m9, md2, m10, content1), content0 ⊕ mkcontent(ino, pcache) = content1 ⊕ mkcontent(ino, pcache0), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), ino ∈ files0, ino ∈ files1, datakey(m, n) ∈ pcache, m ∈ files0, ino ∈ icache, ∀ ino0. (ino0 ∈ files0 ↔ ino0 ∈ files1) ∧ (ino0 ∈ files0 → ((files0 ⊕ pcache) ⊕ icache)[ino0] = ((files1 ⊕ pcache0) ⊕ icache)[ino0]) ⊦ mkfile(m6, md0, m4, content1 ⊕ mkcontent(ino, pcache0)) = mkfile(m6, md0, m4, content2 ⊕ mkcontent(ino, pcache[datakey(m, n), mkpentry(false, buf)]))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 343:
⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0
Proof step 344:
# buf = VFS_PAGE_SIZE, (ino = m ⊃ mkfile(m0, md, m1, content[n, buf]);mkfile(m7, md1, m8, content0)) = mkfile(m11, md3, m12, content2), files1[ino] = mkfile(m9, md2, m10, content1), files0[ino] = mkfile(m7, md1, m8, content0), icache[ino] = mkientry(boolvar, mkinode(m3, md0, false, m4, m5, m6)), pcache[datakey(m, n)] = mkpentry(true, buf), files0[m] = mkfile(m0, md, m1, content), content0 ⊕ mkcontent(ino, pcache) = content1 ⊕ mkcontent(ino, pcache0), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), ino ∈ icache, m ∈ files0, datakey(m, n) ∈ pcache, ino ∈ files1, ino ∈ files0, ∀ ino0. (ino0 ∈ files0 ↔ ino0 ∈ files1) ∧ (ino0 ∈ files0 → ((files0 ⊕ pcache) ⊕ icache)[ino0] = ((files1 ⊕ pcache0) ⊕ icache)[ino0]) ⊦ m6 = m6 ∧ md0 = md0 ∧ m4 = m4 ∧ content1 ⊕ mkcontent(ino, pcache0) = content2 ⊕ mkcontent(ino, pcache[datakey(m, n), mkpentry(false, buf)])

Rule argument

spec: abstract-file name: inj seq: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0 subst: [content0, m2, md0, m1, content, m0, md, m] → [ content2 ⊕ mkcontent (ino, pcache[datakey(m, n), mkpentry(false, buf)]), m4, md0, m6, content1 ⊕ mkcontent(ino, pcache0), m4, md0, m6] flags: <all paths>

Additional information

Used terms: content2 ⊕ mkcontent(ino, pcache[datakey(m, n), mkpentry(false, buf)]), m4, md0, m6, content1 ⊕ mkcontent(ino, pcache0), m4, md0, m6