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Proof step 1 from proof payload-save-load-same (conclusion)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ # zbrar0 = # zbrar1 ∧ n + m ≤ # zbrar0 ∧ # zbrar0 = BRANCH_SIZE ∧ save(zbrar0, n, m) = save(zbrar1, n, m) → payload(zbrar0, n, m) = payload(zbrar1, n, m)
Proof step 3:
# zbrar = BRANCH_SIZE, nused ≤ BRANCH_SIZE ⊦ payload(load(save(zbrar, 0, nused), 0, nused), 0, nused) = payload(zbrar, 0, nused), # load(save(zbrar, 0, nused), 0, nused) = # zbrar ∧ 0 + nused ≤ # load(save(zbrar, 0, nused), 0, nused) ∧ # load(save(zbrar, 0, nused), 0, nused) = BRANCH_SIZE ∧ save(load(save(zbrar, 0, nused), 0, nused), 0, nused) = save(zbrar, 0, nused)

Rule argument

spec: <toplevel> name: save-same-payload-same seq: ⊦ # zbrar0 = # zbrar1 ∧ n + m ≤ # zbrar0 ∧ # zbrar0 = BRANCH_SIZE ∧ save(zbrar0, n, m) = save(zbrar1, n, m) → payload(zbrar0, n, m) = payload(zbrar1, n, m) subst: [zbrar1, m, n, zbrar0] → [zbrar, nused, 0, load(save(zbrar, 0, nused), 0, nused)] flags: <all paths>

Additional information

Used terms: zbrar, nused, 0, load(save(zbrar, 0, nused), 0, nused)