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Proof step 3 from proof key-size (previous step)

∀ a. ¬ a ∈ st0 ⊦ st0 = ∅

User applied rule structural induction

And obtained the following new goals

Proof step 4:
(∀ a. ¬ a ∈ st) → st = ∅, ∀ a0. ¬ a0 ∈ st[a, d] ⊦ st[a, d] = ∅

Rule argument

indvar: st0

Additional information

Used simplifier rules: gen-04: ⊦ ;