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Proof step 850 from proof overwrite-write-page-clean (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 851:
files[ino] = mkfile(m2, md0, m3, content0), n = m, n ∈ content0[m, buf], ino ∈ files, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)] ⊦ ino ∈ icache, (n ∈ (content0 ⊕ mkcontent(ino, pcache))[m, buf] ↔ n ∈ content0[m, buf] ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(false, buf)])) ∧ (content0 ⊕ mkcontent(ino, pcache))[m, buf][n] = (content0[m, buf] ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(false, buf)]))[n]
Proof step 853:
files[ino] = mkfile(m2, md0, m3, content0), n ∈ content0[m, buf], ino ∈ files, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)] ⊦ n = m, ino ∈ icache, (n ∈ (content0 ⊕ mkcontent(ino, pcache))[m, buf] ↔ n ∈ content0[m, buf] ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(false, buf)])) ∧ (content0 ⊕ mkcontent(ino, pcache))[m, buf][n] = (content0[m, buf] ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(false, buf)]))[n]

Rule argument

fma: n = m

Additional information

Used formulas: n = m