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Proof step 10 from proof valid-group-nodes-app-transaction (previous step)

transaction(ndx, gndx + mkgnode(nd, m, boolvar, boolvar0) ') ⊦ (boolvar0 ⊃ (# gndx0 + # gndx) + 1;valid-group-nodes(gndx0 + gndx)) = # gndx0 + # gndx + 1

Heuristic if-then-else split applied rule case distinction

And closed the goal!

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ¬ transaction(ndx, gndx + mkgnode(nd, n, boolvar, false) '); (s)%a: ⊦ (gndx + gndx0) + gndx1 = gndx + gndx0 + gndx1; from specification list[group-store]%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic