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Proof step 15 from proof keys-shift-left (previous step)

(n0 < n ⊃ zbrar[n0];zbrar[n0 + 1]).key = zbrar[n].key, n0 + 1 < # zbrar, n0 < nused, n < # zbrar, nused < # zbrar, n0 < # zbrar, sorted(zbrar, 0, nused + 1), n ≤ nused ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
(n0 < n ⊃ zbrar[n0];zbrar[n0 + 1]).key = zbrar[n].key, n0 < # zbrar, nused < # zbrar, n < # zbrar, n0 < nused, n0 + 1 < # zbrar, sorted(zbrar, 0, nused + 1), n ≤ nused ⊦

Proof step 15 from proof keys-shift-left (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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