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Proof step 3 from proof valid-group-nodes-app-transaction-prefix (previous step)

transaction-prefix(ndx, gndx1) ⊦ valid-group-nodes(gndx0 + gndx1) = valid-group-nodes(gndx0)

User applied rule induction

And obtained the following new goals

Proof step 4:
transaction-prefix(ndx, gndx1), ∀ gndx, ndx, gndx0. # gndx < # gndx1 → transaction-prefix(ndx, gndx) → valid-group-nodes(gndx0 + gndx) = valid-group-nodes(gndx0) ⊦ valid-group-nodes(gndx0 + gndx1) = valid-group-nodes(gndx0)

Rule argument

indvar: # gndx1 wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # gndx1