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Proof step 6 from proof encoding-unique-h (previous step)

# lpt0 = # lpt1, is-encoded(lpt0, buf, n), n ≤ # lpt1 ⊦ # buf = align↑(# lpt1 * ENCODED_LPROPS_SIZE, LEB_SIZE) ∧ (∀ m. m < # lpt1 ∧ m < n → is-encoded(lpt1[m], subarray(buf, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE))) ↔ subarray(lpt0, 0, n) = subarray(lpt1, 0, n)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ is-encoded(lpt, buf, n) ↔ # buf = lptsize(# lpt, LEB_SIZE) ∧ (∀ m. m < # lpt ∧ m < n → is-encoded(lpt[m], subarray(buf, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)))
Proof step 8:
# buf = lptsize(# lpt0, LEB_SIZE), # lpt0 = # lpt1, n ≤ # lpt1, ∀ m. m < # lpt0 ∧ m < n → is-encoded(lpt0[m], subarray(buf, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)) ⊦ # buf = align↑(# lpt1 * ENCODED_LPROPS_SIZE, LEB_SIZE) ∧ (∀ m. m < # lpt1 ∧ m < n → is-encoded(lpt1[m], subarray(buf, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE))) ↔ subarray(lpt0, 0, n) = subarray(lpt1, 0, n)

Rule argument

spec: <toplevel> name: is-encoded seq: ⊦ is-encoded(lpt, buf, n) ↔ # buf = lptsize(# lpt, LEB_SIZE) ∧ (∀ m. m < # lpt ∧ m < n → is-encoded (lpt[m], subarray (buf, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE))) subst: [n, buf, lpt] → [n, buf, lpt0] flags: <all paths>

Additional information

Used terms: n, buf, lpt0