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Proof step 2 from proof encode-node (previous step)

buf0 = buf, n + nd.flashsize ≤ # buf ⊦ ⟪encode_node#(nd, n; m, buf; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf0 ∧ subarray(buf, 0, n) = subarray(buf0, 0, n) ∧ subarray(buf, n + nd.flashsize, # buf0 - n + nd.flashsize) = subarray(buf0, n + nd.flashsize, # buf0 - n + nd.flashsize) ∧ (err = ESUCCESS → abs-node(subarray(buf, n, nd.flashsize), nd) ∧ m = nd.flashsize))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
buf0 = buf, n + 2 * NODE_HEADER_SIZE + nd.alignedsize ≤ # buf ⊦ ⟪encode_node#(nd, n; m, buf; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf0 ∧ subarray(buf, 0, n) = subarray(buf0, 0, n) ∧ subarray(buf, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, # buf0 - n + 2 * NODE_HEADER_SIZE + nd.alignedsize) = subarray(buf0, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, # buf0 - n + 2 * NODE_HEADER_SIZE + nd.alignedsize) ∧ ( err = ESUCCESS → (∃ buf0, buf1. subarray(buf, n, 2 * NODE_HEADER_SIZE + nd.alignedsize) = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(node-size-headerless(nd), false), buf0) ∧ is-encoded(nd, subarray(buf1, 0, node-size-headerless(nd))) ∧ # buf1 = nd.alignedsize) ∧ m = 2 * NODE_HEADER_SIZE + nd.alignedsize))

Rule argument

Additional information

Used simplifier rules: abs-node: ⊦ abs-node(buf, nd) ↔ (∃ buf0, buf1. buf = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(node-size-headerless(nd), false), buf0) ∧ is-encoded(nd, subarray(buf1, 0, node-size-headerless(nd))) ∧ # buf1 = nd.alignedsize);%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ nd.flashsize = 2 * NODE_HEADER_SIZE + nd.alignedsize; (s)