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Proof step 4 from proof afs-cons-init (previous step)

⊦ 0 = # links(ROOT_INO, (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)]) ∧ 0 = # subdirs(ROOT_INO, (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)])

User applied rule case distinction

And obtained the following new goals

Proof step 5:
⊦ 0 = # links(ROOT_INO, (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)])
Proof step 8:
⊦ 0 = # subdirs(ROOT_INO, (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)])

Rule argument

pos: right 1

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