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Proof step 2 from proof notmemlookup (previous step)

⊦ st[a] = (∅)[a], a ∈ st

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ a. st0[a] = (∅)[a] ∨ a ∈ st0 ⊦ st0[a0, d][a] = (∅)[a], a ∈ st0[a0, d]

Rule argument

indvar: st

Additional information

Used simplifier rules: gen-04: ⊦ ;