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Proof step 5 from proof ri-range-ext (previous step)

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

User applied rule all left

And obtained the following new goals

Proof step 6:
nused < # zbrar, sorted(zbrar, 0, nused), scan(key, zbrar, 0, nused) ≤ nused → key-range(zbrar, scan(key, zbrar, 0, nused), nused + 1, ri0) = key-range(zbrar, scan(key, zbrar, 0, nused), nused + 1, ri1), ∀ n. n ≤ nused → key-range(zbrar, n, nused + 1, ri0) = key-range(zbrar, n, nused + 1, ri1) ⊦ (key ∈ ri0 ↔ key ∈ ri1) ∧ (key ∈ ri0 → ri0[key] = ri1[key])

Rule argument

pos: left 3 terms: scan(key, zbrar, 0, nused) abort: F discard: F computed: F

Additional information

Used terms: scan(key, zbrar, 0, nused)