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Proof step 4 from proof payload-save-load-same (previous step)

# zbrar = BRANCH_SIZE, nused ≤ BRANCH_SIZE ⊦ payload(load(save(zbrar, 0, nused), 0, nused), 0, nused) = payload(zbrar, 0, nused), save(load(save(zbrar, 0, nused), 0, nused), 0, nused) = save(zbrar, 0, nused)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ m + nused ≤ BRANCH_SIZE → save(load(save(zbrar, m, nused), m, nused), m, nused) = save(zbrar, m, nused)

Rule argument

spec: znode-ops name: save-load-save seq: ⊦ m + nused ≤ BRANCH_SIZE → save(load(save(zbrar, m, nused), m, nused), m, nused) = save(zbrar, m, nused) subst: [nused, m, zbrar] → [nused, 0, zbrar] flags: <all paths>

Additional information

Used simplifier rules: ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m ≤ n → (n < m ↔ false); (s) Used terms: nused, 0, zbrar