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Proof step 8 from proof valid-group-nodes-app-transaction-prefix (previous step)

transaction-prefix(ndx, gndx + gnd '), ∀ gndx2, ndx, gndx0. # gndx2 < #(gndx + gnd ') → transaction-prefix(ndx, gndx2) → valid-group-nodes(gndx0 + gndx2) = valid-group-nodes(gndx0) ⊦ (gnd.end ⊃ (# gndx0 + # gndx) + 1;valid-group-nodes(gndx0 + gndx)) = valid-group-nodes(gndx0)

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