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Proof step 3 from proof save-load-save (previous step)

m + nused ≤ BRANCH_SIZE ⊦ save(load(save(zbrar, m, nused), m, nused), m, nused) = save(zbrar, m, nused)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ brar = brar0 ↔ # brar = # brar0 ∧ (∀ n. n < # brar → brar[n] = brar0[n])
Proof step 5:
m + nused ≤ BRANCH_SIZE ⊦ # save(load(save(zbrar, m, nused), m, nused), m, nused) = # save(zbrar, m, nused) ∧ (∀ n. n < # save(load(save(zbrar, m, nused), m, nused), m, nused) → save(load(save(zbrar, m, nused), m, nused), m, nused)[n] = save(zbrar, m, nused)[n])

Rule argument

spec: array, inst: branch-array name: Extension seq: ⊦ brar = brar0 ↔ # brar = # brar0 ∧ (∀ n. n < # brar → brar[n] = brar0[n]) subst: [brar0, brar] → [save(zbrar, m, nused), save(load(save(zbrar, m, nused), m, nused), m, nused)] flags: <all paths>

Additional information

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