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Proof step 1 from proof flashsize-app (conclusion)

⊦ (ndx0 + ndx1).flashsize = ndx0.flashsize + ndx1.flashsize

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ ndx1. (ndx + ndx1).flashsize = ndx.flashsize + ndx1.flashsize ⊦ ((nd + ndx) + ndx1).flashsize = (nd + ndx).flashsize + ndx1.flashsize

Rule argument

term: ndx0

Additional information

Used simplifier rules: flashsize-nodes-base: ⊦ [].flashsize = 0;%node-list freely generated by [], +;;% ⊦ [] + ndx = ndx; (s)%a: ⊦ (ndx + ndx0) + ndx1 = ndx + ndx0 + ndx1; from specification list[node-list]% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic