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Proof step 1 from proof payload-shift-left (conclusion)

⊦ n ≤ nused ∧ nused < # zbrar ∧ sorted(zbrar, 0, nused + 1) → payload(shl(zbrar, n, nused + 1), 0, nused) = (zbrar[n].entry? ⊃ payload(zbrar, 0, nused + 1) -- zbrar[n].key;payload(zbrar, 0, nused + 1))

System applied rule normalize

And obtained the following new goals

Proof step 2:
nused < # zbrar, sorted(zbrar, 0, nused + 1), n ≤ nused ⊦ payload(shl(zbrar, n, nused + 1), 0, nused) = (zbrar[n].entry? ⊃ payload(zbrar, 0, nused + 1) -- zbrar[n].key;payload(zbrar, 0, nused + 1))

Proof step 1 from proof payload-shift-left (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information