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Proof step 14 from proof valid-idx-move-last (previous step)

ar[m1].idx:= m0 = elemindex(a, m4), kar[m] = key-index(key, m1), m0 < # kar, m1 < # ar, m0 < m, m < # kar, m0 + 1 < # kar, ∀ m2. ¬ m < m2 → kar[m2].idx < # ar ∧ ar[kar[m2].idx].idx = m2 ⊦ m4 = m0

User applied rule all left

And obtained the following new goals

Proof step 15:
ar[m1].idx:= m0 = elemindex(a, m4), kar[m] = key-index(key, m1), m0 + 1 < # kar, m < # kar, m0 < m, m1 < # ar, m0 < # kar, ¬ m < m → kar[m].idx < # ar ∧ ar[kar[m].idx].idx = m ⊦ m4 = m0

Rule argument

pos: left 8 terms: m abort: F discard: T computed: T

Additional information

Used terms: m