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Proof step 50 from proof ri-closed-gc-one (previous step)

# buf = VFS_PAGE_SIZE, fs[ri[key0]] = datanode(key1, buf), fs[ri[key0]].data?, fs[ri[key]].directory, inodekey(key1.ino) ∈ ri, ri[key0] ∈ fs, key0 ∈ ri, key ∈ ri, ∀ key. key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]]) ⊦ inodekey(key1.ino) = key, key0 = key, fs[ri[key0]].dentry?, (∅)[ri[inodekey(key1.ino)]].directory, ri[inodekey(key1.ino)] ∈ fs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 51:
# buf = VFS_PAGE_SIZE, fs[ri[key0]] = datanode(key1, buf), fs[ri[key]].directory, inodekey(key1.ino) ∈ ri, ri[key0] ∈ fs, key0 ∈ ri, key ∈ ri, ∀ key. key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]]) ⊦ inodekey(key1.ino) = key, key0 = key, (∅)[ri[inodekey(key1.ino)]].directory, ri[inodekey(key1.ino)] ∈ fs

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ datanode(key, buf).dentry?; (s)% ⊦ datanode(key, buf).data?; (s)