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Proof step 6 from proof refine-add-log-leb (previous step)

# lpt = n0, # avol = n0 + m5, m5 + # lpt0 = # avol, avol[0] = mapped(buf), avol[m1] = mapped(buf0), avol[m0] = mapped(buf1), avol0 = subarray(avol, m5, # lpt), disk-layout(mksb(adr, m, m0, m1, m3, m4, m5), # lpt0), ebm-vol-inv(subarray(avol, m5, # lpt)), ebm-vol-inv(avol), is-encoded(plog, buf1), is-encoded(lpt, lebs(avol, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m, m0, m1, m3, m4, m5), buf), is-encoded(lpt0, lebs(avol, m4, lptlebs(# lpt0, LEB_SIZE))), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol, m4, lptlebs(# lpt0, LEB_SIZE)), m5 ≤ # avol, logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟪persistence_io_add_log_leb#(m2, mksb(adr, m, m0, m1, m3, m4, m5), EB_PAGE_SIZE, LEB_SIZE; logoff, avol; err)⟫ ⟨apersistence_io_add_log_leb#(m2, adr, m, avol0, lpt, orphans; plog; err0)⟩ ( # avol = m5 + (# avol - m5) ∧ avol0 = subarray(avol, m5, # avol - m5) ∧ is-encoded(plog, avol[m0].data) ∧ is-encoded(lpt, lebs(avol, m4, lptlebs(# avol - m5, LEB_SIZE))) ∧ is-encoded-pad(orphans, m3, avol[m1].data) ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ is-encoded(lpt0, buf) ∧ # lpt0 = # lpt1 → (is-encoded(lpt1, buf) ↔ lpt0 = lpt1); (s)%eqs: ⊦ m = n + n0 ∧ m = n + n1 → n0 = n1; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic