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Proof step 38 from proof process-one (previous step)

n = m + 1, (((r => a0 × null * del-list(rx0, m)) * P))(H), 1 ≤ n ⊦ n = 0, r = null, ((del-list(rx0, m) * P))(H -- r)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
(((r => a0 × null * del-list(rx0, m)) * P))(H) ⊦ r = null, ((del-list(rx0, m) * P))(H -- r)

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ m + n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + 1 ≠ 0; (s)