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Proof step 14 from proof key-range-replace-branches (previous step)

# zbrar0 = # zbrar1, m + 1 < # zbrar1, ∀ n. n ≤ m + 1 ∧ n ≤ 2 + m → zbrar0[n].key = zbrar1[n].key ⊦ ri |> zbrar0[m].key = ri |> zbrar1[m].key

User applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: m abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ m ≤ m + n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: m