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Proof step 188 from proof encode-node (previous step)

# buf = n0 + n + 2 * NODE_HEADER_SIZE + nd.alignedsize, # buf0 = # buf, subarray(buf0, 0, n) = subarray(buf, 0, n), n1 < n0, n + 2 * NODE_HEADER_SIZE + nd.alignedsize ≤ # buf, n + NODE_HEADER_SIZE ≤ # buf, ⌊err⌋ , ∀ n2. n2 < NODE_HEADER_SIZE + n0 + nd.alignedsize → buf0[(n + NODE_HEADER_SIZE) + n2] = buf[(n + NODE_HEADER_SIZE) + n2] ⊦ buf0[(n + 2 * NODE_HEADER_SIZE + nd.alignedsize) + n1] = buf[(n + 2 * NODE_HEADER_SIZE + nd.alignedsize) + n1]

User applied rule all left

And closed the goal!

Rule argument

pos: left 8 terms: NODE_HEADER_SIZE + nd.alignedsize + n1 abort: F discard: T computed: F

Additional information

Used simplifier rules: ⊦ m + n < m + n0 ↔ n < n0; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m + m = 2 * m; (s) Used terms: NODE_HEADER_SIZE + nd.alignedsize + n1