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Proof step 184 from proof encode-node (previous step)

# buf = n0 + n + 2 * NODE_HEADER_SIZE + nd.alignedsize, # buf0 = # buf, subarray(buf0, n + NODE_HEADER_SIZE, NODE_HEADER_SIZE + n0 + nd.alignedsize) = subarray(buf, n + NODE_HEADER_SIZE, NODE_HEADER_SIZE + n0 + nd.alignedsize), subarray(buf0, 0, n) = subarray(buf, 0, n), n + 2 * NODE_HEADER_SIZE + nd.alignedsize ≤ # buf, n + NODE_HEADER_SIZE ≤ # buf, ⌊err⌋ ⊦ # subarray(buf0, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, n0) = # subarray(buf, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, n0) ∧ (∀ n1. n1 < # subarray(buf0, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, n0) → subarray(buf0, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, n0)[n1] = subarray(buf, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, n0)[n1])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 185:
# buf = n0 + n + 2 * NODE_HEADER_SIZE + nd.alignedsize, # buf0 = # buf, subarray(buf0, n + NODE_HEADER_SIZE, NODE_HEADER_SIZE + n0 + nd.alignedsize) = subarray(buf, n + NODE_HEADER_SIZE, NODE_HEADER_SIZE + n0 + nd.alignedsize), subarray(buf0, 0, n) = subarray(buf, 0, n), n1 < n0, n + 2 * NODE_HEADER_SIZE + nd.alignedsize ≤ # buf, n + NODE_HEADER_SIZE ≤ # buf, ⌊err⌋ ⊦ buf0[(n + 2 * NODE_HEADER_SIZE + nd.alignedsize) + n1] = buf[(n + 2 * NODE_HEADER_SIZE + nd.alignedsize) + n1]

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ n0 < n → subarray(buf, m, n)[n0] = buf[m + n0]; (s)% ⊦ # subarray(buf, m, n) = n; (s)