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Proof step 5 from proof valid-eraseqd-rem-middle (previous step)

valid-eraseq(q + eqent ' + q1), ∀ eqent, q1. valid-eraseq(q + eqent ' + q1) → valid-eraseq(q + q1) ⊦ eqent0.pnum ∈ q, eqent0.pnum ∈ eqent ', eqent0.pnum ∈ q1, ¬ eqent0.pnum ∈ q + q1 ∧ valid-eraseq(q + q1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: erasequeueentry name: elim seq: ⊦ m = eqent.pnum ∧ lref = eqent.lebref ↔ eqent = eq-entry(m, lref) subst: [eqent, m, lref] → [eqent0, m, lref]

Additional information

Used simplifier rules: ⊦ m = eqent.pnum ∧ lref = eqent.lebref ↔ eqent = eq-entry(m, lref); (elim) Used terms: eqent0, m, lref