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Proof step 1 from proof size-eq-0 (conclusion)

⊦ 0 = as.size ↔ (∀ adr. adr ∈ as → adr.size = 0)

User applied rule induction

And obtained the following new goals

Proof step 2:
∀ as0. # as0 < # as → true → (0 = as0.size ↔ (∀ adr. adr ∈ as0 → adr.size = 0)) ⊦ 0 = as.size ↔ (∀ adr. adr ∈ as → adr.size = 0)

Rule argument

indvar: # as wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # as