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Proof step 16 from proof indices-erasing-eraseq (previous step)

wlar1[m] = wl-entry(m1, stat), wlar0[m] = wl-entry(m0, erasing), m < # wlar0, indices-erasing(wlar1, nx0), indices-erasing(wlar0, nx0), valid-eraseq(wlar1, q1), m ∈ q0, ∀ eqent. eqent ∈ q0 → eqent ∈ q1 ⊦ m < # wlar1 ∧ stat = erasing

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ n ∈ q ↔ (∃ eqent. eqent.pnum = n ∧ eqent ∈ q)
Proof step 18:
wlar0[m] = wl-entry(m0, erasing), wlar1[m] = wl-entry(m1, stat), m < # wlar0, indices-erasing(wlar0, nx0), indices-erasing(wlar1, nx0), valid-eraseq(wlar1, q1), ∀ eqent. eqent ∈ q0 → eqent ∈ q1, ∃ eqent. eqent.pnum = m ∧ eqent ∈ q0 ⊦ m < # wlar1 ∧ stat = erasing

Rule argument

spec: erasequeue name: queue-in seq: ⊦ n ∈ q ↔ (∃ eqent. eqent.pnum = n ∧ eqent ∈ q) subst: [q, n] → [q0, m] flags: <all paths>

Additional information

Used terms: q0, m