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

m < # keyset(kar, m), m < # kar ⊦

User applied rule structural induction

And obtained the following new goals

Proof step 3:
m0 +1 < # kar, m0 +1 < # keyset(kar, m0 +1), ∀ kar. ¬(m0 < # keyset(kar, m0) ∧ m0 < # kar) ⊦

Rule argument

indvar: m

Additional information

Used simplifier rules: keyset-base: ⊦ keyset(kar, 0) = ∅;%nat freely generated by 0, +1;;% ⊦ # ∅ = 0; (s)