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Proof step 86 from proof inv-format (previous step)

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) ⊦ align↑(# lpt * ENCODED_LPROPS_SIZE, LEB_SIZE) = lptlebs(# lpt, LEB_SIZE) * LEB_SIZE

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 87:
⊦ lptlebs(mainareasize, n) = lptsize(mainareasize, n) / n
Proof step 88:
ebm-vol-inv(fill(mkavolume(# lpt + 5 + 2 * lptsize(# lpt, LEB_SIZE) / LEB_SIZE), unmapped)[1, mapped(mkbuf(0))]), ebm-vol-inv(fill(mkavolume(# lpt + 5 + 2 * lptsize(# lpt, LEB_SIZE) / LEB_SIZE), unmapped)), ebm-vol-inv(fill(mkavolume(# lpt + 5 + 2 * lptsize(# lpt, LEB_SIZE) / LEB_SIZE), unmapped)[1, mapped(mkbuf(0))][3, mapped(mkbuf(0))]), is-encoded(lpt, buf) ⊦ align↑(# lpt * ENCODED_LPROPS_SIZE, LEB_SIZE) = lptsize(# lpt, LEB_SIZE) / LEB_SIZE * LEB_SIZE

Rule argument

spec: encoding-lpt name: lpt-lebs seq: ⊦ lptlebs(mainareasize, n) = lptsize(mainareasize, n) / n subst: [n, mainareasize] → [LEB_SIZE, # lpt] flags: <all paths>

Additional information

Used terms: LEB_SIZE, # lpt