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Proof step 7 from proof prepost-extract-min (previous step)

bin-heap-inv(bh, ar), keyset(bh) ≠ ∅ ⊦ ⟪bin_min_heap_get_min#(bh; n)⟫ ∃ key. key-index(key, n) ∈ keyset(bh) ∧ (∀ ki. ki ∈ keyset(bh) → ¬ ki.key < key)

Lemma prepost-get-min