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Proof step 12 from proof remove-refsize0-refsize-cons (previous step)

st[m] = mkblock(x, lax, (as | m).size), inv(st), @(m, m0, m1) ∈ st, @(m, m0, m1) ∈ as, m ∈ st, as ⊆ dom nodes(st) ⊦ # as = 0, as = ∅, @(m, m0, m1) ∈ remove-refsize0(st), dom nodes(st) ⊆ dom nodes(remove-refsize0(st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ adr ∈ st ↔ adr.lnum ∈ st ∧ @(adr.pos, adr.size) ∈ st[adr.lnum].ladrlist
Proof step 14:
st[m] = mkblock(x, lax, (as | m).size), inv(st), m ∈ st, @(m, m0, m1) ∈ as, @(m, m0, m1) ∈ st, as ⊆ dom nodes(st) ⊦ # as = 0, as = ∅, dom nodes(st) ⊆ dom nodes(remove-refsize0(st)), @(m, m0, m1).lnum ∈ remove-refsize0(st) ∧ @(@(m, m0, m1).pos, @(m, m0, m1).size) ∈ remove-refsize0(st)[@(m, m0, m1).lnum].ladrlist

Rule argument

spec: ablock-store-inv name: in seq: ⊦ adr ∈ st ↔ adr.lnum ∈ st ∧ @(adr.pos, adr.size) ∈ st[adr.lnum].ladrlist subst: [st, adr] → [remove-refsize0(st), @(m, m0, m1)] flags: <all paths>

Additional information

Used terms: remove-refsize0(st), @(m, m0, m1)