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Proof step 12 from proof valid-eraseqd-rem-middle (previous step)

valid-eraseq(q + eqent ' + q1), ∀ eqent, q1. valid-eraseq(q + eqent ' + q1) → valid-eraseq(q + q1) ⊦ valid-eraseq(q + q1), m ∈ q, m ∈ eqent ', m ∈ q1

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 2 terms: eqent, q1

Additional information

Used simplifier rules: a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base] Used terms: eqent, q1