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Proof step 5 from proof inv-reduce (previous step)

∀ n0. n0 ∈ st \ ns → # (st \ ns)[n0].list = # (st \ ns)[n0].ladrlist ∧ inv-flashsize((st \ ns)[n0].list, (st \ ns)[n0].ladrlist) ∧ ¬ dups((st \ ns)[n0].ladrlist) ⊦ (∀ n0. n0 ∈ st[n, mkblock(x, lax, m)] \ ns → inv-flashsize((st[n, mkblock(x, lax, m)] \ ns)[n0].list, (st[n, mkblock(x, lax, m)] \ ns)[n0].ladrlist) ∧ ¬ dups((st[n, mkblock(x, lax, m)] \ ns)[n0].ladrlist)) ↔ n ∈ ns ∨ inv-flashsize(x, lax) ∧ ¬ dups(lax)

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

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