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Proof step 41 from proof refine-read (previous step)

# avol0 = # lpt + m6, avol0[m2] = mapped(buf4), avol0[m3] = mapped(buf3), avol0[0] = mapped(buf2), avol0[m6 + m8] = mapped(buf1), m7 + n1 < # buf1, LEB_SIZE < # buf1, m8 < # lpt, disk-layout(mksb(adr, m1, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, m6, # lpt)), is-encoded(log, buf4), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m1, m2, m3, m4, m5, m6), buf2), is-encoded-pad(orphans, m4, buf3), mapped-full?(avol0, m5, lptlebs(# lpt, LEB_SIZE)), m7 + n1 ≤ # buf1 + (LEB_SIZE - # buf1), m6 ≤ # avol0, m7 + n1 ≤ LEB_SIZE, n2 + n1 ≤ # buf5, logoff ≠ LEB_SIZE → # buf4 = logoff ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ebm-vol-inv name: ebm-vol-inv-lebsize seq: ⊦ n < # avol ∧ avol[n] = mapped(buf) ∧ ebm-vol-inv(avol) → ¬ LEB_SIZE < # buf subst: [n, avol, buf] → [m6 + m8, avol0, buf1] flags: <all paths>

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m = m0 + n0 ∧ n < n0 → m0 + n < m; (s) Used terms: m6 + m8, avol0, buf1