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Proof step 26 from proof keep-range (previous step)

zbr.key = zbrar[m].key, m0 + 1 < # zbrar, 2 + m0 < # zbrar, m0 + 1 < nused, m < # zbrar, 2 + m0 < nused, nused ≤ # zbrar ⊦ m0 + 1 = m, (ri |> zbrar[m, zbr][m0].key) |≤ zbrar[m0 + 1].key = (ri |> zbrar[m0].key) |≤ zbrar[m0 + 1].key

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
zbr.key = zbrar[m].key, 2 + m0 < nused, m < # zbrar, m0 + 1 < nused, 2 + m0 < # zbrar, m0 + 1 < # zbrar, nused ≤ # zbrar ⊦ m0 + 1 = m, (ri |> zbrar[m, zbr][m0].key) |≤ zbrar[m0 + 1].key = (ri |> zbrar[m0].key) |≤ zbrar[m0 + 1].key

Proof step 26 from proof keep-range (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information