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Proof step 12 from proof prepost-encode-lpt (previous step)

# buf = lptsize(# lpt, LEB_SIZE), n0 < # lpt, is-encoded(lpt, buf, n0) ⊦ ⟪encode_lprops#(lpt[n0], n0 * ENCODED_LPROPS_SIZE; buf, m; err); n := n0 + 1⟫ ( n ≤ # lpt ∧ # buf = lptsize(# lpt, LEB_SIZE) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-encoded(lpt, buf, n)) ∧ # lpt < (# lpt - n0) + n)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 13:
# buf = lptsize(# lpt, LEB_SIZE), # lpt = n1 + n0, n0 < # lpt, is-encoded(lpt, buf, n0), n0 ≤ # lpt ⊦ ⟪encode_lprops#(lpt[n0], n0 * ENCODED_LPROPS_SIZE; buf, m; err); n := n0 + 1⟫ ( n ≤ # lpt ∧ # buf = lptsize(# lpt, LEB_SIZE) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-encoded(lpt, buf, n)) ∧ # lpt < n1 + n)

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [n, m, n0] → [n0, # lpt, n1]

Additional information

Used simplifier rules: ⊦ m < n → m ≤ n; (s)%n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: n0, # lpt, n1