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Proof step 3 from proof indices-erasing-write-notin (previous step)

nx < m, indices-erasing(wlar, nx) ⊦ indices-erasing(wlar[m, wle], nx)

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 4:
m0 + nx0 < m, indices-erasing(wlar, m0 + nx0), ∀ m, wlar, wle. nx0 < m ∧ indices-erasing(wlar, nx0) → indices-erasing(wlar[m, wle], nx0) ⊦ indices-erasing(wlar[m, wle], m0 + nx0)

Rule argument

term: nx

Additional information

Used simplifier rules: indices-erasing-base: ⊦ indices-erasing(wlar, []);%nat-list freely generated by [], +;;% ⊦ [] < n; (s)