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Proof step 39 from proof abs-nodes-unique-weak-h (previous step)

abs-nodes(buf0, m + # buf1, nd ' + x, @(m0, m1) ' + lax, true), abs-padding(buf1), # buf1 + # buf0 = 0 ∨ buf0 = buf2 ∧ buf1 = buf ∧ abs-nodes(buf2, m + # buf, [], [], 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 ⊦

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: left 3

Additional information

Used simplifier rules: abs-nodes-nospace-h: # buf < NODE_HEADER_SIZE ⊦ abs-nodes(buf, m, x, lax, boolvar) ↔ x = [] ∧ lax = [] ∧ buf = mkbuf(0);% ⊦ m + n = 0 ↔ m = 0 ∧ n = 0; (ws)% ⊦ # buf = 0 ↔ buf = mkbuf(0); (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ # mkbuf(n) = n; (s)% ⊦ 0 < m ↔ m ≠ 0; (s)% ⊦ NODE_HEADER_SIZE ≠ 0; (s)% ⊦ a ' + x ≠ []; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list