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Proof step 52 from proof prepost-read-orphans (previous step)

m4 + # lpt = # avol, avol[m5] = mapped(buf1), avol[m1] = mapped(buf), avol[0] = mapped(buf2), m1 < # avol, disk-layout(mksb(adr, m6, m5, m1, m2, m3, m4), # lpt), ebm-vol-inv(avol), is-encoded(log, buf1), is-encoded(lpt, lebs(avol, m3, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m6, m5, m1, m2, m3, m4), buf2), is-encoded-pad(orphans0, m2, buf), mapped-full?(avol, m3, lptlebs(# lpt, LEB_SIZE)), m2 * ENCODED_NAT_SIZE ≤ LEB_SIZE, ⌊err0⌋ , logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ∃ buf0. # buf0 = m2 * ENCODED_NAT_SIZE ∧ m2 * ENCODED_NAT_SIZE ≤ # buf0

User applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: mkbuf(m2 * ENCODED_NAT_SIZE) abort: F discard: T computed: F

Additional information

Used simplifier rules: ⊦ # mkbuf(n) = n; (s)% ⊦ m ≤ m; (s) Used terms: mkbuf(m2 * ENCODED_NAT_SIZE)