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Proof step 6 from proof overwrite-write-inode-dirty (previous step)

icache[ino] = mkientry(boolvar, inode), ino ∈ icache, ino ∈ files, ino0 ∈ files ⊦ (ino0 = ino ⊃ (((files ⊕ pcache) ⊕ icache)[ino].meta:= md).size:= m;((files ⊕ pcache) ⊕ icache)[ino0]) = ((files ⊕ pcache) ⊕ icache[ino, mkientry(true, (inode.meta:= md).size:= m)])[ino0], inode.directory

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 7:
icache[ino] = mkientry(boolvar, inode), ino0 ∈ files, ino ∈ files, ino ∈ icache, ino0 ∈ icache ⊦ (ino0 = ino ⊃ (((files ⊕ pcache) ⊕ icache)[ino].meta:= md).size:= m;((files ⊕ pcache) ⊕ icache)[ino0]) = ((files ⊕ pcache) ⊕ icache[ino, mkientry(true, (inode.meta:= md).size:= m)])[ino0], inode.directory
Proof step 31:
icache[ino] = mkientry(boolvar, inode), ino0 ∈ files, ino ∈ files, ino ∈ icache ⊦ (ino0 = ino ⊃ (((files ⊕ pcache) ⊕ icache)[ino].meta:= md).size:= m;((files ⊕ pcache) ⊕ icache)[ino0]) = ((files ⊕ pcache) ⊕ icache[ino, mkientry(true, (inode.meta:= md).size:= m)])[ino0], inode.directory, ino0 ∈ icache

Rule argument

fma: ino0 ∈ icache

Additional information

Used formulas: ino0 ∈ icache