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Proof step 4 from proof inv-put-inode (previous step)

afs-cons(dirs, files), of-cons(of, dirs, files), ¬ is-open(m, of) → (m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar) ∧ m ≠ ROOT_INO ⊦ ⟪vfs_put_inode#(mkinode(m, md, boolvar, m0, m1, m2), of, asynced; err, dirs, files)⟫ (afs-cons(dirs, files) ∧ of-cons(of, dirs, files))

User applied rule call right

And obtained the following new goals

Proof step 5:
⊦
Proof step 6:
p_inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), of-cons(of, dirs, files), ¬ is-open(m, of) → (m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar) ∧ m ≠ ROOT_INO ⊦ ⟪if err = ESUCCESS ∧ ¬ is-open(p_inode.ino, of) then afs_evict#(p_inode, asynced; err, dirs, files)⟫ (afs-cons(dirs, files) ∧ of-cons(of, dirs, files))

Rule argument

pos: right 1

Additional information

Used simplifier rules: put-inode: ⊦ ;