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Proof step 19 from proof in-remove-refsize0-refsize-cons (previous step)

(∅)[m] = mkblock(x, lax, m2), st[m] = mkblock(x0, lax0, 0), inv(st), m ∈ st, @(m, m0, 0) ∈ as, @(m, m0, 0) ∈ st ⊦ # as = 0, as = ∅

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ inv(st) ↔ (∀ n. n ∈ st → inv(st[n]))
Proof step 21:
st[m] = mkblock(x0, lax0, 0), (∅)[m] = mkblock(x, lax, m2), @(m, m0, 0) ∈ st, @(m, m0, 0) ∈ as, m ∈ st, ∀ n. n ∈ st → inv(st[n]) ⊦ # as = 0, as = ∅

Rule argument

spec: ablock-store-inv name: inv-store seq: ⊦ inv(st) ↔ (∀ n. n ∈ st → inv(st[n])) subst: [st] → [st] flags: <all paths>

Additional information

Used terms: st