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Proof step 13 from proof prepost-decode-lpt (previous step)

# lpt2 = n1 + n0, # lpt1 = n1 + n0, # buf = lptsize(n1 + n0, LEB_SIZE), n1 ≠ 0, is-encoded(lpt1, buf, n0) ⊦ ⟪decode_lprops#(n0 * ENCODED_LPROPS_SIZE, buf; lpt1[n0], m; err); n := n0 + 1⟫ ( n ≤ # lpt1 ∧ # buf = lptsize(# lpt1, LEB_SIZE) ∧ # lpt1 = # lpt2 ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-encoded(lpt1, buf, n)) ∧ # lpt1 < n1 + n)

User applied rule apply lemma

And obtained the following new goals

Proof step 14:
⊦ ⟪decode_lprops#(n, buf; lp, n0; err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-encoded(lp, subarray(buf, n, n0)) ∧ n + n0 ≤ # buf ∧ n0 = encoding-size(lp)))
Proof step 15:
⟪lp := lpt1[n0]; decode_lprops#(n0 * ENCODED_LPROPS_SIZE, buf; lp, m; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-encoded(lp, subarray(buf, n0 * ENCODED_LPROPS_SIZE, m)) ∧ n0 * ENCODED_LPROPS_SIZE + m ≤ # buf ∧ m = encoding-size(lp))), # buf = lptsize(n1 + n0, LEB_SIZE), # lpt1 = n1 + n0, # lpt2 = n1 + n0, is-encoded(lpt1, buf, n0) ⊦ ⟪decode_lprops#(n0 * ENCODED_LPROPS_SIZE, buf; lpt1[n0], m; err); n := n0 + 1⟫ ( n ≤ # lpt1 ∧ # buf = lptsize(# lpt1, LEB_SIZE) ∧ # lpt1 = # lpt2 ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-encoded(lpt1, buf, n)) ∧ # lpt1 < n1 + n), n1 = 0

Rule argument

spec: encoding, inst: encoding-lprops name: decode-contract seq: ⊦ ⟪decode_lprops#(n, buf; lp, n0; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → is-encoded(lp, subarray(buf, n, n0)) ∧ n + n0 ≤ # buf ∧ n0 = encoding-size(lp))) subst: [lp, n0, n, buf] → [lpt1[n0], m, n0 * ENCODED_LPROPS_SIZE, buf]

Additional information

Used terms: lpt1[n0], m, n0 * ENCODED_LPROPS_SIZE, buf