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Proof step 14 from proof indices-erasing-eraseq (previous step)

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), m ∈ q0, q0 ⊆ q1 ⊦ m < # wlar1 ∧ stat = erasing

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ q ⊆ q0 ↔ (∀ eqent. eqent ∈ q → eqent ∈ q0)
Proof step 16:
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

Rule argument

spec: list-set, inst: erasequeue-base name: subset seq: ⊦ q ⊆ q0 ↔ (∀ eqent. eqent ∈ q → eqent ∈ q0) subst: [q0, q] → [q1, q0] flags: <all paths>

Additional information

Used terms: q1, q0