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Proof step 19 from proof prepost-get-min (previous step)

kar[0] = key-index(key0, m0), 2exp-size(# kar), heap-order(kar, m), no-dups-idx(kar, m), valid-idx(kar, ar, m), m ≤ # kar ⊦ # keyset(kar, m) = 0, # kar = 0, keyset(kar, m) = ∅, ∃ m1. m1 < m ∧ key-index(key0, m0) = kar[m1]

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 4 terms: 0

Additional information

Used simplifier rules: ⊦ 0 < m ↔ m ≠ 0; (s)% ⊦ keyset(kar, 0) = ∅; (s)% ⊦ # ∅ = 0; (s) Used terms: 0