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Proof step 8 from proof keep-range (previous step)

zbr.key = zbrar[m].key, m < # zbrar, nused ≤ # zbrar ⊦ key-range(zbrar[m, zbr], 0, nused, ri) = key-range(zbrar, 0, nused, ri), nused = 0

User applied rule constructor cut

And obtained the following new goals

Proof step 9:
zbr.key = zbrar[m].key, nused = nused0 +1, m < # zbrar, nused ≤ # zbrar ⊦ key-range(zbrar[m, zbr], 0, nused, ri) = key-range(zbrar, 0, nused, ri), nused = 0

Rule argument

var: nused

Additional information

Used simplifier rules: nat freely generated by 0, +1;;