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

∀ brar, m. # load(brar, m, nused0) = BRANCH_SIZE ⊦ # load(brar, m, nused0 + 1) = BRANCH_SIZE

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ load(brar, m, nused + 1) = load(brar, m + 1, nused)[m, load(brar[m])]
Proof step 5:
∀ brar, m. # load(brar, m, nused0) = BRANCH_SIZE ⊦ # load(brar, m + 1, nused0)[m, load(brar[m])] = BRANCH_SIZE

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