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Proof step 15 from proof nodes-dealloc (previous step)

gstore[m] = groupblock(gndx, lax, m2) ⊦ ( (@(m, m0, m1).lnum ∈ gstore ∧ @(@(m, m0, m1).pos, @(m, m0, m1).size) ∈ gstore[@(m, m0, m1).lnum].ladrlist) ∧ m ≠ n ∧ ¬ m ∈ ginval → ¬ @(m, m0, m1) ∈ dom nodes(gstore, ginval) | n) ∧ ( m ∈ gstore ∧ @(m0, m1) ∈ lax ∧ m ≠ n ∧ ¬ m ∈ ginval → nodes(gstore -- n, ginval ++ n)[@(m, m0, m1)] = (nodes(gstore, ginval) \ (dom nodes(gstore, ginval) | n))[@(m, m0, m1)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
gstore[m] = groupblock(gndx, lax, m2) ⊦ (m ∈ gstore ∧ @(m0, m1) ∈ lax ∧ m ≠ n ∧ ¬ m ∈ ginval → ¬ @(m, m0, m1) ∈ dom nodes(gstore, ginval) | n) ∧ ( m ∈ gstore ∧ @(m0, m1) ∈ lax ∧ m ≠ n ∧ ¬ m ∈ ginval → nodes(gstore -- n, ginval ++ n)[@(m, m0, m1)] = (nodes(gstore, ginval) \ (dom nodes(gstore, ginval) | n))[@(m, m0, m1)])

Rule argument

Additional information

Used simplifier rules: ⊦ groupblock(gndx, lax, m).ladrlist = lax; (s)% ⊦ @(m, m0, m1).size = m1; (s)% ⊦ @(m, m0, m1).pos = m0; (s)% ⊦ @(m, m0, m1).lnum = m; (s)