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Proof step 1 from proof mapped-pebs-remap (conclusion)

⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n0⌝ ∧ valid-ebatbl(apebs, wlar, vols, m0) → mapped-pebs(vols[v, vols[v][m, ⌜n1⌝ ]]) = (mapped-pebs(vols) -- n0) ++ n1

System applied rule normalize

And obtained the following new goals

Proof step 2:
vols[v][m] = ⌜n0⌝ , m < # vols[v], valid-ebatbl(apebs, wlar, vols, m0), v ∈ vols ⊦ mapped-pebs(vols[v, vols[v][m, ⌜n1⌝ ]]) = (mapped-pebs(vols) -- n0) ++ n1

Proof step 1 from proof mapped-pebs-remap (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information