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Proof step 62 from proof inv-format (previous step)

⊦ file-node-cons((∅)[adr1, inodenode(inodekey(ROOT_INO), md, true, 0, 0, 0)], (∅)[inodekey(ROOT_INO), adr1]) ∧ orphans-cons((∅)[adr1, inodenode(inodekey(ROOT_INO), md, true, 0, 0, 0)], (∅)[inodekey(ROOT_INO), adr1], ∅)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 63:
⊦ file-node-cons(fs, ri) ↔ (∀ ino. inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory → fs[ri[inodekey(ino)]].nsubdirs = 0)
Proof step 64:
⊦ (∀ ino. inodekey(ino) ∈ (∅)[inodekey(ROOT_INO), adr1] ∧ ¬ (∅)[adr1, inodenode(inodekey(ROOT_INO), md, true, 0, 0, 0)][(∅)[inodekey(ROOT_INO), adr1][inodekey(ino)]].directory → (∅)[adr1, inodenode(inodekey(ROOT_INO), md, true, 0, 0, 0)][(∅)[inodekey(ROOT_INO), adr1][inodekey(ino)]].nsubdirs = 0) ∧ orphans-cons((∅)[adr1, inodenode(inodekey(ROOT_INO), md, true, 0, 0, 0)], (∅)[inodekey(ROOT_INO), adr1], ∅)

Rule argument

spec: aubifs-inv name: file-node-cons seq: ⊦ file-node-cons(fs, ri) ↔ (∀ ino. inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory → fs[ri[inodekey(ino)]].nsubdirs = 0) subst: [ri, fs] → [(∅)[inodekey(ROOT_INO), adr1], (∅)[adr1, inodenode(inodekey(ROOT_INO), md, true, 0, 0, 0)]] flags: <all paths>

Additional information

Used terms: (∅)[inodekey(ROOT_INO), adr1], (∅)[adr1, inodenode(inodekey(ROOT_INO), md, true, 0, 0, 0)]