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Proof step 1 from proof abs-unmap (conclusion)

⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ abs(avols, apebs, vols, q) → abs(avols[v, avols[v][m, unmapped]], apebs, vols[v, vols[v][m, unmapped]], q + eq-entry(n, v × m) ')

System applied rule normalize

And obtained the following new goals

Proof step 2:
vols[v][m] = ⌜n⌝ , m < # vols[v], abs(avols, apebs, vols, q), v ∈ vols ⊦ abs(avols[v, avols[v][m, unmapped]], apebs, vols[v, vols[v][m, unmapped]], q + eq-entry(n, v × m) ')

Proof step 1 from proof abs-unmap (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information