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Proof step 25 from proof nodes-dealloc (previous step)

gstore[m] = groupblock(gndx, lax, m2), m ∈ gstore, @(m0, m1) ∈ lax ⊦ (∅)[@(m, m0, m1)] = nodes(gstore, ginval)[@(m, m0, m1)], m = n, @(m, m0, m1) ∈ dom nodes(gstore, ginval) | n, m ∈ ginval, @(m, m0, m1) ∈ gstore -- n

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] → [gstore -- n, @(m, m0, m1)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ @(m, m0, m1).lnum = m; (s)% ⊦ n ∈ gstore -- n0 ↔ n ≠ n0 ∧ n ∈ gstore; (s)% ⊦ @(m, m0, m1).pos = m0; (s)% ⊦ @(m, m0, m1).size = m1; (s)% ⊦ n ≠ n0 → (gstore -- n0)[n] = gstore[n]; (s)% ⊦ groupblock(gndx, lax, m).ladrlist = lax; (s) Used terms: gstore -- n, @(m, m0, m1)