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Proof step 2 from proof keyset-size-bound0 (previous step)

# keyset(kar, m) = m + 1, m < # kar ⊦

User applied rule apply lemma

And obtained the following new goals

Proof step 3:
m < # kar ⊦ # keyset(kar, m) ≤ m
Proof step 4:
# keyset(kar, m) = m + 1, m < # kar, # keyset(kar, m) ≤ m ⊦

Rule argument

spec: <toplevel> name: keyset-size-bound seq: m < # kar ⊦ # keyset(kar, m) ≤ m subst: [m, kar] → [m, kar]

Additional information

Used terms: m, kar