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Proof step 3 from proof nodes-cons-rec (previous step)

⊦ nodes-cons(@(m, m0, m1) ' + ax, nd ' + ndx, gstore, ginval) ↔ @(m, m0, m1) ∈ gstore ∧ ¬ m ∈ ginval ∧ gstore[@(m, m0, m1)].nd = nd ∧ nodes-cons(ax, ndx, gstore, ginval)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
gstore[@(m, m0, m1)] = mkgnode(nd0, m2, boolvar, boolvar0) ⊦ nodes-cons(@(m, m0, m1) ' + ax, nd ' + ndx, gstore, ginval) ↔ @(m, m0, m1) ∈ gstore ∧ ¬ m ∈ ginval ∧ nd0 = nd ∧ nodes-cons(ax, ndx, gstore, 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, 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: gstore[@(m, m0, m1)], nd0, m2, boolvar, boolvar0