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Proof step 24 from proof nodes-remove-refsize0 (previous step)

gstore[m] = groupblock(gndx, lax, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, m ∈ gstore, @(m0, m1) ∈ lax ⊦ (∅)[@(m, m0, m1)] = (nodes(gstore, ginval) \ refsize0-addresses(gstore \ ginval))[@(m, m0, m1)], m2 = 0, @(m, m0, m1) ∈ remove-refsize0(gstore)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

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

Additional information

Used simplifier rules: ⊦ @(m, m0, m1).lnum = m; (s)% ⊦ n ∈ remove-refsize0(gstore) ↔ n ∈ gstore ∧ gstore[n].ref-size ≠ 0; (ws)% ⊦ @(m, m0, m1).pos = m0; (s)% ⊦ @(m, m0, m1).size = m1; (s)%⊦ n ∈ gstore ∧ gstore[n].ref-size ≠ 0 → remove-refsize0(gstore)[n] = gstore[n]; (s)% ⊦ groupblock(gndx, lax, m).ref-size = m; (s)% ⊦ groupblock(gndx, lax, m).ladrlist = lax; (s) Used terms: remove-refsize0(gstore), @(m, m0, m1)