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Proof step 82 from proof inv-format (previous step)

# buf = lptsize(# lpt, LEB_SIZE), avol = fill(mkavolume(# lpt + 5 + 2 * lptlebs(# lpt, LEB_SIZE)), unmapped)[1, mapped(mkbuf(0))][3, mapped(mkbuf(0))], ebm-vol-inv(fill(mkavolume(# lpt + 5 + 2 * lptlebs(# lpt, LEB_SIZE)), unmapped)[1, mapped(mkbuf(0))]), ebm-vol-inv(fill(mkavolume(# lpt + 5 + 2 * lptlebs(# lpt, LEB_SIZE)), unmapped)), ebm-vol-inv(fill(mkavolume(# lpt + 5 + 2 * lptlebs(# lpt, LEB_SIZE)), unmapped)[1, mapped(mkbuf(0))][3, mapped(mkbuf(0))]), is-encoded(lpt, buf) ⊦ ebm-vol-inv(avol) ∧ 5 + lptlebs(# lpt, LEB_SIZE) ≤ # avol ∧ # buf = lptlebs(# lpt, LEB_SIZE) * LEB_SIZE ∧ avol = avol

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 83:
# buf = lptsize(# lpt, LEB_SIZE), ebm-vol-inv(fill(mkavolume(# lpt + 5 + 2 * lptlebs(# lpt, LEB_SIZE)), unmapped)[1, mapped(mkbuf(0))][3, mapped(mkbuf(0))]), ebm-vol-inv(fill(mkavolume(# lpt + 5 + 2 * lptlebs(# lpt, LEB_SIZE)), unmapped)), ebm-vol-inv(fill(mkavolume(# lpt + 5 + 2 * lptlebs(# lpt, LEB_SIZE)), unmapped)[1, mapped(mkbuf(0))]), is-encoded(lpt, buf) ⊦ # buf = lptlebs(# lpt, LEB_SIZE) * LEB_SIZE

Rule argument

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%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%m1 ≠ 0 ⊦ m ≤ (* m1) * m + n0; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)% ⊦ # mkavolume(n) = n; (s)% ⊦ # fill(avol, aleb) = # avol; (s)% ⊦ # avol[n, aleb] = # avol; (s)