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Proof step 4 from proof at-save-out-lower (previous step)

m + nused0 < BRANCH_SIZE, n < m, ∀ n, m, zbrar. n < m ∧ m + nused0 ≤ BRANCH_SIZE → save(zbrar, m, nused0)[n] = mkbrarray(BRANCH_SIZE)[n] ⊦ save(zbrar, m, nused0 + 1)[n] = mkbrarray(BRANCH_SIZE)[n]

User applied rule insert rewrite lemma

And obtained the following new goals

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

Rule argument

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

Additional information

Used terms: nused0, m, zbrar