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Proof step 105 from proof payload-shift-left (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 106:
n < # zbrar, nused < # zbrar, sorted(zbrar, 0, nused + 1), n ≤ nused ⊦ key ∈ payload(shl(zbrar, n, nused + 1), 0, nused) ↔ key ∈ payload(zbrar, 0, nused + 1), zbrar[n].entry?

Proof step 105 from proof payload-shift-left (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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