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Proof step 24 from proof nodes-dealloc (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
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

Rule argument

Additional information

Used simplifier rules: nodes-gstore-in: ⊦ adr ∈ nodes(gstore, ginval) ↔ ¬ ¬(adr ∈ gstore ∧ ¬ adr.lnum ∈ ginval);% ⊦ n ≠ n0 → (n ∈ ns ++ n0 ↔ n ∈ ns); (s)% ⊦ @(m, m0, m1).lnum = m; (s)% ⊦ ¬ adr ∈ fs → fs[adr] = (∅)[adr]; (s)