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Proof step 63 from proof payload-shift-left (previous step)

zbrar[n] = mkzentry(key, adr), zbrar[n0] = mkzentry(key0, adr0), n0 + 1 < # zbrar, n0 < n, n0 < # zbrar, nused < # zbrar, n < # zbrar, n0 < nused, sorted(zbrar, 0, nused + 1), n ≤ nused ⊦ key0 = key, ∃ n1. n1 < nused ∧ (n1 < n ⊃ zbrar[n1];zbrar[n1 + 1]).entry? ∧ (n1 < n ⊃ zbrar[n1];zbrar[n1 + 1]).key = key0

User applied rule exists right

And closed the goal!

Rule argument

pos: right 2 terms: n0 abort: F discard: F computed: F

Additional information

Used simplifier rules: ⊦ mkzentry(key, adr).entry?; (s)% ⊦ mkzentry(key, adr).key = key; (s) Used terms: n0