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Proof step 98 from proof fsync-inode-keep-abs (previous step)

(m = m0 ⊃ mkfile(m7, md1, m5, content);files[m]) = mkfile(m8, md2, m9, content0), files[m0] = mkfile(m1, md0, m5, content), icache[m] = mkientry(true, mkinode(m0, md1, false, m5, 0, m7)), icache-cons(icache, dirs, files), m ∈ icache, m0 ∈ files, m ∈ files ⊦ ((files ⊕ pcache) ⊕ icache)[m] = mkfile(m7, md1, m5, content0 ⊕ mkcontent(m, pcache))

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Proof step 99:
icache[m] = mkientry(true, mkinode(m0, md1, false, m5, 0, m7)), files[m0] = mkfile(m1, md0, m5, content), m = m0, mkfile(m7, md1, m5, content) = mkfile(m8, md2, m9, content0), icache-cons(icache, dirs, files), m ∈ files, m0 ∈ files, m ∈ icache ⊦ ((files ⊕ pcache) ⊕ icache)[m] = mkfile(m7, md1, m5, content0 ⊕ mkcontent(m, pcache))
Proof step 102:
icache[m] = mkientry(true, mkinode(m0, md1, false, m5, 0, m7)), files[m0] = mkfile(m1, md0, m5, content), files[m] = mkfile(m8, md2, m9, content0), icache-cons(icache, dirs, files), m ∈ files, m0 ∈ files, m ∈ icache ⊦ ((files ⊕ pcache) ⊕ icache)[m] = mkfile(m7, md1, m5, content0 ⊕ mkcontent(m, pcache)), m = m0

Rule argument

pos: left 1

Proof step 98 from proof fsync-inode-keep-abs (previous step)

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Rule argument

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