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Proof step 29 from proof nodes-except-refsize (previous step)

gstore1 =○refsize gstore0, @(m, m0, m1) ∈ gstore1 ⊦ m ∈ ginval, @(m, m0, m1) ∈ gstore0 ∧ gstore1[@(m, m0, m1)].nd = nodes(gstore0, ginval)[@(m, m0, m1)]

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 30:
gstore1[@(m, m0, m1)] = mkgnode(nd, m2, boolvar, boolvar0), gstore1 =○refsize gstore0, @(m, m0, m1) ∈ gstore1 ⊦ m ∈ ginval, @(m, m0, m1) ∈ gstore0 ∧ nd = nodes(gstore0, ginval)[@(m, m0, m1)]

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] → [gstore1[@(m, m0, m1)], nd, m2, 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: gstore1[@(m, m0, m1)], nd, m2, boolvar, boolvar0