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Proof step 13 from proof ginval-extract-nodes (previous step)

gstore[m] = groupblock(gndx, lax, m2), m ∈ gstore, @(m0, m1) ∈ lax, @(m, m0, m1) ∈ gstore ⊦ gstore[@(m, m0, m1)].nd = nodes(gstore \ ginval, ginval)[@(m, m0, m1)], m ∈ ginval

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
gstore[m] = groupblock(gndx, lax, m2), gstore[@(m, m0, m1)] = mkgnode(nd, m3, boolvar, boolvar0), @(m, m0, m1) ∈ gstore, @(m0, m1) ∈ lax, m ∈ gstore ⊦ nd = nodes(gstore \ ginval, ginval)[@(m, m0, m1)], 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)], nd, m3, boolvar, boolvar0]

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)], nd, m3, boolvar, boolvar0