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Proof step 48 from proof abs-nodes-unique-weak-h (previous step)

# buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, ladr = @(m, # buf1), lax0 = ladr + lax2, abs-node(buf1, nd), abs-nodes(buf1 + buf0, m, nd0 ' + x2, lax1, true), abs-nodes(buf0, m + # buf1, x, lax2, true), ∀ buf2, m, x0, lax0, x1, lax1. # buf2 < #(buf1 + buf0) → abs-nodes(buf2, m, x0, lax0, true) ∧ abs-nodes(buf2, m, x1, lax1, true) → x0 = x1 ∧ lax0 = lax1 ⊦ lax0 = [], nd ' + x = nd0 ' + x2 ∧ lax0 = lax1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
# buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf1, nd), abs-nodes(buf0, m + # buf1, x, lax2, true), abs-nodes(buf1 + buf0, m, nd0 ' + x2, lax1, true), ∀ buf2, m, x0, lax0, x1, lax1. # buf2 < #(buf1 + buf0) → abs-nodes(buf2, m, x0, lax0, true) ∧ abs-nodes(buf2, m, x1, lax1, true) → x0 = x1 ∧ lax0 = lax1 ⊦ nd ' + x = nd0 ' + x2 ∧ @(m, # buf1) ' + lax2 = lax1

Rule argument

Additional information

Used simplifier rules: a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]% ⊦ ladr ' + lax ≠ []; (s)% ⊦ ladr + lax = ladr ' + lax; (s)