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Proof step 42 from proof fsync-err (previous step)

asynced0 ↔ true, files1[m] = mkfile(m0, md0, m1, content), files = files0, inode = mkinode(m, md, false, m1, 0, m2), valid-file-inode(inode, dirs, files), m ∈ files1 ⊦ [fail_or_success#(; ; err); choose bv with true in asynced := bv] (err = ESUCCESS ∨ ⌊err⌋ )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
files1[m] = mkfile(m0, md0, files[m].nlink, content), m ∈ files, m ∈ files1 ⊦ [fail_or_success#(; ; err); choose bv with true in asynced := bv] (err = ESUCCESS ∨ ⌊err⌋ )

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (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)