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Proof step 908 from proof overwrite-write-page-clean (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 909:
⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0
Proof step 910:
files[ino] = mkfile(m2, md0, m3, content0), files[ino0] = mkfile(m4, md1, m5, content1), ino ∈ files, ino0 ∈ files ⊦ ino0 = ino, ino0 ∈ icache, ino ∈ icache, m4 = m4 ∧ md1 = md1 ∧ m5 = m5 ∧ content1 ⊕ mkcontent(ino0, pcache) = content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), 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] → [ content1 ⊕ mkcontent (ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), m5, md1, m4, content1 ⊕ mkcontent(ino0, pcache), m5, md1, m4] flags: <all paths>

Additional information

Used terms: content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), m5, md1, m4, content1 ⊕ mkcontent(ino0, pcache), m5, md1, m4