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Proof step 26 from proof abs-nodes-unique-weak-h (previous step)

x0 = nd + x, abs-nodes(buf, m, x0, lax0, true), abs-nodes(buf, m, x1, lax1, true), ∀ buf0, m, x0, lax0, x1, lax1. # buf0 < # buf → abs-nodes(buf0, m, x0, lax0, true) ∧ abs-nodes(buf0, m, x1, lax1, true) → x0 = x1 ∧ lax0 = lax1 ⊦ x0 = x1 ∧ lax0 = lax1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
abs-nodes(buf, m, x1, lax1, true), abs-nodes(buf, m, nd ' + x, lax0, true), ∀ buf0, m, x0, lax0, x1, lax1. # buf0 < # buf → abs-nodes(buf0, m, x0, lax0, true) ∧ abs-nodes(buf0, m, x1, lax1, true) → x0 = x1 ∧ lax0 = lax1 ⊦ nd ' + x = x1 ∧ lax0 = lax1

Rule argument

Additional information

Used simplifier rules: ⊦ a + x = a ' + x; (s)