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Proof step 8 from proof save-load-save (previous step)

n < BRANCH_SIZE, m < BRANCH_SIZE, m ≤ n, m + nused ≤ BRANCH_SIZE ⊦ save(load(save(zbrar, m, nused), m, nused), m, nused)[n] = save(zbrar, m, nused)[n]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ m ≤ n ↔ (∃ n0. m + n0 = n)
Proof step 10:
m < BRANCH_SIZE, n < BRANCH_SIZE, m + nused ≤ BRANCH_SIZE, ∃ n0. m + n0 = n ⊦ save(load(save(zbrar, m, nused), m, nused), m, nused)[n] = save(zbrar, m, nused)[n]

Rule argument

spec: nat name: le-addex seq: ⊦ m ≤ n ↔ (∃ n0. m + n0 = n) subst: [n, m] → [n, m] flags: <all paths>

Additional information

Used terms: n, m