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Proof step 39 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, m0, m1) ∈ gstore, m ∈ gstore, @(m0, m1) ∈ lax, @(m, m0, m1) ∈ remove-refsize0(gstore) ⊦ m2 = 0, nd = gstore[@(m, m0, m1)].nd, m ∈ ginval

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 40:
gstore[m] = groupblock(gndx, lax, m2), remove-refsize0(gstore)[@(m, m0, m1)] = mkgnode(nd, m3, boolvar, boolvar0), gstore[@(m, m0, m1)] = mkgnode(nd0, m4, boolvar1, boolvar2), dom remove-refsize0(gstore) ∩ ginval = ∅, @(m, m0, m1) ∈ remove-refsize0(gstore), @(m0, m1) ∈ lax, m ∈ gstore, @(m, m0, m1) ∈ gstore ⊦ m2 = 0, nd = nd0, m ∈ ginval

Rule argument

spec: groupnode name: elim seq: ⊦ ((nd = gnd.nd ∧ m = gnd.sqnum) ∧ (boolvar ↔ gnd.start)) ∧ (boolvar0 ↔ gnd.end) ↔ gnd = mkgnode(nd, m, boolvar, boolvar0) subst: [gnd, nd, m, boolvar, boolvar0] → [gstore[@(m, m0, m1)], nd0, m3, boolvar2, boolvar3]

Additional information

Used simplifier rules: ⊦ ((nd = gnd.nd ∧ m = gnd.sqnum) ∧ (boolvar ↔ gnd.start)) ∧ (boolvar0 ↔ gnd.end) ↔ gnd = mkgnode(nd, m, boolvar, boolvar0); (elim) Used terms: gstore[@(m, m0, m1)], nd0, m3, boolvar2, boolvar3