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Proof step 38 from proof nodes-remove-refsize0 (previous step)

remove-refsize0(gstore)[@(m, m0, m1)] = mkgnode(nd, m3, boolvar, boolvar0), gstore[m] = groupblock(gndx, lax, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, m ∈ gstore, @(m0, m1) ∈ lax, @(m, m0, m1) ∈ remove-refsize0(gstore), @(m, m0, m1) ∈ nodes(gstore, ginval) ⊦ m2 = 0, nd = gstore[@(m, m0, m1)].nd, @(m, m0, m1) ∈ gstore \ ginval ∧ (gstore \ ginval)[m].ref-size = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
remove-refsize0(gstore)[@(m, m0, m1)] = mkgnode(nd, m3, boolvar, boolvar0), gstore[m] = groupblock(gndx, lax, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, @(m, m0, m1) ∈ gstore, m ∈ gstore, @(m0, m1) ∈ lax, @(m, m0, m1) ∈ remove-refsize0(gstore) ⊦ m2 = 0, nd = gstore[@(m, m0, m1)].nd, m ∈ ginval

Rule argument

Additional information

Used simplifier rules: nodes-gstore-in: ⊦ adr ∈ nodes(gstore, ginval) ↔ ¬ ¬(adr ∈ gstore ∧ ¬ adr.lnum ∈ ginval);% ⊦ groupblock(gndx, lax, m).ref-size = m; (s)% ⊦ ¬ n ∈ ns → (gstore \ ns)[n] = gstore[n]; (s)%⊦ gstore[n] = groupblock(gndx, lax, m0) ∧ n ∈ gstore ∧ @(n0, n1) ∈ lax → @(n, n0, n1) ∈ gstore; (ss)% ⊦ ¬ n0 ∈ ns → (@(n0, n1, n2) ∈ gstore \ ns ↔ @(n0, n1, n2) ∈ gstore); (s)% ⊦ @(m, m0, m1).lnum = m; (s)