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Proof step 10 from proof nodes-ginval-rem-01 (previous step)

dom gstore1 ∪ ns = dom gstore ⊦ ( @(m, m0, m1).lnum ∈ gstore ∧ @(@(m, m0, m1).pos, @(m, m0, m1).size) ∈ gstore[@(m, m0, m1).lnum].ladrlist → (¬ m ∈ ginval \ dom gstore1 \ dom gstore ↔ ¬ m ∈ ginval)) ∧ ( (@(m, m0, m1).lnum ∈ gstore ∧ @(@(m, m0, m1).pos, @(m, m0, m1).size) ∈ gstore[@(m, m0, m1).lnum].ladrlist) ∧ ¬ m ∈ ginval \ dom gstore1 \ dom gstore → nodes(gstore, ginval \ dom gstore1 \ dom gstore)[@(m, m0, m1)] = nodes(gstore, ginval)[@(m, m0, m1)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
dom gstore1 ∪ ns = dom gstore ⊦ (m ∈ gstore ∧ @(m0, m1) ∈ gstore[m].ladrlist → (¬ m ∈ ginval \ dom gstore1 \ dom gstore ↔ ¬ m ∈ ginval)) ∧ ( m ∈ gstore ∧ @(m0, m1) ∈ gstore[m].ladrlist ∧ ¬ m ∈ ginval \ dom gstore1 \ dom gstore → nodes(gstore, ginval \ dom gstore1 \ dom gstore)[@(m, m0, m1)] = nodes(gstore, ginval)[@(m, m0, m1)])

Rule argument

Additional information

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