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Proof step 3 from proof prepost-read-log (previous step)

avol[sb.log] = mapped(buf), sb.log < # avol, ebm-vol-inv(avol), is-encoded(log0, buf) ⊦ ⟪persistence_io_read_log#(sb, EB_PAGE_SIZE, LEB_SIZE, avol; logoff; log, err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → log = log0))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
avol[m0] = mapped(buf), sb = mksb(adr, m, m0, m1, m2, m3, m4), m0 < # avol, ebm-vol-inv(avol), is-encoded(log0, buf) ⊦ ⟪persistence_io_read_log#(sb, EB_PAGE_SIZE, LEB_SIZE, avol; logoff; log, err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → log = log0))

Rule argument

spec: superblock name: elim seq: ⊦ ( ( ( ( (adr = sb.indexaddr ∧ m = sb.maxino) ∧ m0 = sb.log) ∧ m1 = sb.orph) ∧ m2 = sb.orphsize) ∧ m3 = sb.lpt) ∧ m4 = sb.main ↔ sb = mksb(adr, m, m0, m1, m2, m3, m4) subst: [sb, adr, m, m0, m1, m2, m3] → [sb, adr, m, m0, m1, m2, m3]

Additional information

Used simplifier rules: ⊦ ( ( ( ((adr = sb.indexaddr ∧ m = sb.maxino) ∧ m0 = sb.log) ∧ m1 = sb.orph) ∧ m2 = sb.orphsize) ∧ m3 = sb.lpt) ∧ m4 = sb.main ↔ sb = mksb(adr, m, m0, m1, m2, m3, m4); (elim) Used terms: sb, adr, m, m0, m1, m2, m3