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Proof step 5 from proof sorted-entry-lt-post (previous step)

zbrar[n + m1] = mkzentry(key, adr), m1 < m, sorted(zbrar, n, m), m1 < m ∧ sorted(zbrar, n, m) → (zbrar[n].key < zbrar[n + m1].key ↔ 0 ≠ m1) ⊦ zbrar[n].key < key ↔ 0 ≠ m1

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 1 flags: discard

Additional information

Used simplifier rules: ⊦ mkzentry(key, adr).key = key; (s)