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Proof step 2 from proof prepost-init-vols-mappings (previous step)

# wlar = # apebs, q0 = q, bflipset-cons(bflipset, wlar), unique-sqns(apebs), unmapped-vols(vols), valid-eraseq(wlar, q), valid-eraseq-stronger(apebs, q), valid-recs(apebs, wlar, recs), valid-vtbl(apebs, vols, wlar, n), valid-wl(apebs, wlar) ⊦ ⟪ubi_init_vols_mappings#(n, apebs; recs, vols, wlar, q, bflipset)⟫ ( valid-ebatbl(apebs, wlar, vols, n) ∧ valid-vtbl(apebs, vols, wlar, n) ∧ ¬ VTBL_VOLID ∈ vols ∧ # apebs = # wlar ∧ bflipset-cons(bflipset, wlar) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(wlar, q) ∧ q0 ⊆ q ∧ (∃ vtbl. is-encoded(vtbl, apebs[n].data) ∧ valid-eraseq-strong(apebs, vtbl, q))), VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# wlar = # apebs, q0 = q, bflipset-cons(bflipset, wlar), unique-sqns(apebs), unmapped-vols(vols), valid-eraseq(wlar, q), valid-eraseq-stronger(apebs, q), valid-recs(apebs, wlar, recs), valid-vtbl(apebs, vols, wlar, n), valid-wl(apebs, wlar), ¬ VTBL_VOLID ∈ vols, ¬ n ∈ q ⊦ ⟪ubi_init_vols_mappings#(n, apebs; recs, vols, wlar, q, bflipset)⟫ ( valid-ebatbl(apebs, wlar, vols, n) ∧ valid-vtbl(apebs, vols, wlar, n) ∧ ¬ VTBL_VOLID ∈ vols ∧ # apebs = # wlar ∧ bflipset-cons(bflipset, wlar) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(wlar, q) ∧ q0 ⊆ q ∧ (∃ vtbl. is-encoded(vtbl, apebs[n].data) ∧ valid-eraseq-strong(apebs, vtbl, q)))

Rule argument

Additional information

Used simplifier rules: lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;