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Proof step 9 from proof inv-erase-all (previous step)

# apebs = # wlar, # apebs1 = # wlar0, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset, wlar0), id(apebs, apebs1, mapped-pebs(vols)), ubi-io-inv(apebs1), ubi-io-inv(apebs), unique-sqns(apebs), unique-sqns(apebs1), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-ebatbl(apebs1, wlar0, vols, vtblpnum), valid-eraseq(apebs, eqent ' + q0), valid-eraseq(wlar, eqent ' + q0), valid-eraseq(eqent ' + q0), valid-eraseq(apebs1, q2), valid-eraseq(wlar0, q2), valid-eraseq(q2), valid-global-sqn(apebs, sqnum), valid-global-sqn(apebs1, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-vtbl(apebs1, vols, wlar0, vtblpnum), valid-wl(apebs, wlar), valid-wl(apebs1, wlar0), eqent ∈ q2, q0 ⊆ q2, ¬ vtblpnum ∈ q0, ¬ vtblpnum ∈ eqent ', ¬ vtblpnum ∈ q2, ¬ VTBL_VOLID ∈ vols ⊦ ⟪ubi_erase_worker_helper#(eqent.pnum; wlar, apebs; err); q := eqent ' + q0; if err = ESUCCESS then q := q.tail⟫ ( # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs1, mapped-pebs(vols)) ∧ q ⊆ q2 ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ¬ # q0 < (err = ESUCCESS ⊃ # q;0))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
# apebs1 = # wlar0, # apebs = # wlar, eqent = eq-entry(m, lref), bflipset-cons(bflipset, wlar0), bflipset-cons(bflipset, wlar), id(apebs, apebs1, mapped-pebs(vols)), ubi-io-inv(apebs), ubi-io-inv(apebs1), unique-sqns(apebs1), unique-sqns(apebs), valid-ebatbl(apebs1, wlar0, vols, vtblpnum), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(q2), valid-eraseq(wlar0, q2), valid-eraseq(apebs1, q2), valid-eraseq(eqent ' + q0), valid-eraseq(wlar, eqent ' + q0), valid-eraseq(apebs, eqent ' + q0), valid-global-sqn(apebs1, sqnum), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs1, vols, wlar0, vtblpnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs1, wlar0), valid-wl(apebs, wlar), eqent ∈ q2, q0 ⊆ q2 ⊦ ⟪ubi_erase_worker_helper#(m; wlar, apebs; err); q := eqent ' + q0; if err = ESUCCESS then q := q.tail⟫ ( # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs1, mapped-pebs(vols)) ∧ q ⊆ q2 ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ¬ # q0 < (err = ESUCCESS ⊃ # q;0)), vtblpnum ∈ q0, vtblpnum ∈ eqent ', vtblpnum ∈ q2, VTBL_VOLID ∈ vols

Rule argument

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

Additional information

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