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Proof step 3 from proof valid-eraseq-stronger-next (previous step)

m < # apebs, valid-eraseq-stronger(subarray(apebs, 0, m), q) ⊦ valid-eraseq-stronger(subarray(apebs, 0, m + 1), q)

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 4:
m < # apebs, valid-eraseq-stronger(subarray(apebs, 0, m), eqent + q0), ∀ m, apebs. m < # apebs ∧ valid-eraseq-stronger(subarray(apebs, 0, m), q0) → valid-eraseq-stronger(subarray(apebs, 0, m + 1), q0) ⊦ valid-eraseq-stronger(subarray(apebs, 0, m + 1), eqent + q0)

Rule argument

term: q

Additional information

Used simplifier rules: valid-eraseq-stronger-base: ⊦ valid-eraseq-stronger(apebs, []);%queue freely generated by [], +;;%# apebs = n ⊦ subarray(apebs, 0, n) = apebs; (s)