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Proof step 1 from proof ri-range-ext (conclusion)

nused < # zbrar, sorted(zbrar, 0, nused) ⊦ ri0 = ri1 ↔ (∀ n. n ≤ nused → key-range(zbrar, n, nused + 1, ri0) = key-range(zbrar, n, nused + 1, ri1))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
nused < # zbrar, sorted(zbrar, 0, nused), ∀ n. n ≤ nused → key-range(zbrar, n, nused + 1, ri0) = key-range(zbrar, n, nused + 1, ri1) ⊦ ri0 = ri1

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic