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Proof step 12 from proof keys-inodekeys (previous step)

∀ ns1. # ns1 < #(ns0 ++ n) → true → ns1.keys.inodes? ⊦ (ns0.keys ++ inodekey(n)).inodes?, n ∈ ns0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-inv name: inodes-put seq: ⊦ ks.inodes? → ((ks ++ key).inodes? ↔ key.inode?) subst: [key, ks] → [inodekey(n), ns0.keys] flags: <all paths>

Additional information

Used simplifier rules: ⊦ inodekey(m).inode?; (s) Used terms: inodekey(n), ns0.keys