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Proof step 3 from proof valid-eraseqp-invalidate (previous step)

m < # apebs, valid-eraseq(apebs, q) ⊦ valid-eraseq(apebs[m, apeb], q), valid-peb(apeb)

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 4:
m < # apebs, valid-eraseq(apebs, eqent + q0), ∀ m, apebs, apeb. m < # apebs ∧ valid-eraseq(apebs, q0) → valid-eraseq(apebs[m, apeb], q0) ∨ valid-peb(apeb) ⊦ valid-eraseq(apebs[m, apeb], eqent + q0), valid-peb(apeb)

Rule argument

term: q

Additional information

Used simplifier rules: valid-eraseqp-base: ⊦ valid-eraseq(apebs, []);%queue freely generated by [], +;;