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Proof step 5 from proof valid-group-nodes-drop-superfluous-prefixn (previous step)

(gnd.end ⊃ # gndx + 1;valid-group-nodes(gndx)) ≤ n, ∀ n. valid-group-nodes(gndx) ≤ n → valid-group-nodes(prefixn(n, gndx)) = valid-group-nodes(gndx) ⊦ valid-group-nodes(prefixn(n, gndx + gnd ')) = (gnd.end ⊃ # gndx + 1;valid-group-nodes(gndx))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

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] → [gnd, nd, m, 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: gnd, nd, m, boolvar, boolvar0