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

ks.inodes? ⊦ (ks ++ key).inodes? ↔ key.inode?

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:
ks.inodes? ⊦ (∀ key0. key0 ∈ ks ++ key → key0.inode?) ↔ key.inode?

Rule argument

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

Additional information

Used terms: ks ++ key