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Proof step 1 from proof fsync-inode-overwrite (conclusion)

valid-file-inode(inode, dirs, files), icache-cons(icache, dirs, files), files = files0, icache0 = icache ⊦ [cache_fsync-inode#(; inode, err, dirs, files, icache, asynced)] (err = ESUCCESS → files[inode.ino] = (files0 ⊕ icache0)[inode.ino])

System applied rule normalize

And obtained the following new goals

Proof step 2:
files = files0, icache0 = icache, icache-cons(icache, dirs, files), valid-file-inode(inode, dirs, files) ⊦ [cache_fsync-inode#(; inode, err, dirs, files, icache, asynced)] (err = ESUCCESS → files[inode.ino] = (files0 ⊕ icache0)[inode.ino])

Proof step 1 from proof fsync-inode-overwrite (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information