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Proof step 36 from proof refine-read (previous step)

# avol0 = # lpt + m6, LEB_SIZE = n3 + # buf0, avol0[0] = mapped(buf2), avol0[m3] = mapped(buf3), avol0[m2] = mapped(buf4), avol0[m6 + m8] = mapped(buf0), m8 < # lpt, disk-layout(mksb(adr, m9, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(subarray(avol0, m6, # lpt)), ebm-vol-inv(avol0), is-encoded(mksb(adr, m9, m2, m3, m4, m5, m6), buf2), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf4), is-encoded-pad(orphans, m4, buf3), mapped-full?(avol0, m5, lptlebs(# lpt, LEB_SIZE)), m7 + n1 ≤ LEB_SIZE, n2 + n1 ≤ # buf5, m6 ≤ # avol0, # buf0 ≤ LEB_SIZE, m7 + n1 ≤ # buf0 + (LEB_SIZE - # buf0), logoff ≠ LEB_SIZE → # buf4 = logoff ⊦ copy(buf0 + mkempbuf(n3), m7, buf5, n2, n1) = copy(buf0 + mkempbuf(LEB_SIZE - # buf0), m7, buf5, n2, n1)

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [n, m, n0] → [# buf0, LEB_SIZE, n]

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%eqs: ⊦ m = n + n0 ∧ m = n + n1 → n0 = n1; (forward) from specification nat-basic%n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: # buf0, LEB_SIZE, n