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Proof step 3 from proof inodes-nodentry (previous step)

ks.inodes?, dentrykey(ino, str) ∈ ks ⊦ # ks = 0, ks = ∅

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ks.inodes? ↔ (∀ key. key ∈ ks → key.inode?)
Proof step 5:
dentrykey(ino, str) ∈ ks, ∀ key. key ∈ ks → key.inode? ⊦ # ks = 0, ks = ∅

Rule argument

spec: <toplevel> name: inode-set seq: ⊦ ks.inodes? ↔ (∀ key. key ∈ ks → key.inode?) subst: [ks] → [ks] flags: <all paths>

Additional information

Used terms: ks