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Proof step 4 from proof at-load (previous step)

m + nused0 < BRANCH_SIZE, n ≤ nused0, ∀ n, m, brar. n < nused0 ∧ m + nused0 ≤ BRANCH_SIZE → load(brar, m, nused0)[m + n] = load(brar[m + n]) ⊦ load(brar, m, nused0 + 1)[m + n] = load(brar[m + n])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ load(brar, m, nused + 1) = load(brar, m + 1, nused)[m, load(brar[m])]
Proof step 6:
m + nused0 < BRANCH_SIZE, n ≤ nused0, ∀ n, m, brar. n < nused0 ∧ m + nused0 ≤ BRANCH_SIZE → load(brar, m, nused0)[m + n] = load(brar[m + n]) ⊦ load(brar, m + 1, nused0)[m, load(brar[m])][m + n] = load(brar[m + n])

Rule argument

spec: <toplevel> name: load-branches-rec seq: ⊦ load(brar, m, nused + 1) = load(brar, m + 1, nused)[m, load(brar[m])] subst: [nused, m, brar] → [nused0, m, brar] flags: <all paths>

Additional information

Used terms: nused0, m, brar