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Proof step 7 from proof refine-get-volume-size (previous step)

# apebs = # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols, ¬ VTBL_VOLID ∈ vols ⊦ ⟨ebm_get_volume_size#(v, avols; ; n0)⟩ (# vols[v] = n0)

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 8:
# apebs = # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols ⊦ ⟨if v ∈ avols then n := # avols[v] else abort⟩ (# vols[v] = n), VTBL_VOLID ∈ vols

Rule argument

pos: right 1

Additional information

Used simplifier rules: ebm_get_volume_size#(VOLID, AVOLS; ; N) {if VOLID ∈ AVOLS then N := # AVOLS[VOLID] else abort};