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Proof step 2 from proof fsync-inode-overwrite (previous step)

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])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
inode.nlink = files0[inode.ino].nlink, inode.nsubdirs = 0, files = files0, icache0 = icache, icache-cons(icache, dirs, files0), inode.ino ∈ files0, ¬ inode.directory ⊦ [cache_fsync-inode#(; inode, err, dirs, files, icache, asynced)] (err = ESUCCESS → files[inode.ino] = (files0 ⊕ icache0)[inode.ino])

Rule argument

Additional information

Used simplifier rules: ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)%⊦ valid-file-inode(inode, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory; (s)