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Proof step 2 from proof prepost-empty (previous step)

⊦ ⟪bin_min_heap_empty#(; bh)⟫ ( bh.size ≤ # bh.ar ∧ no-dups-idx(bh.ar, bh.size) ∧ valid-idx(bh.ar, ar, bh.size) ∧ 2exp-size(# bh.ar) ∧ heap-order(bh.ar, bh.size) ∧ keyset(bh.ar, bh.size) = ∅)

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 3:
⊦ ⟪bh := bin-heap(mkkeyarray(1), 0)⟫ ( bh.size ≤ # bh.ar ∧ no-dups-idx(bh.ar, bh.size) ∧ valid-idx(bh.ar, ar, bh.size) ∧ 2exp-size(# bh.ar) ∧ heap-order(bh.ar, bh.size) ∧ keyset(bh.ar, bh.size) = ∅)

Rule argument

pos: right 1

Additional information

Used simplifier rules: bin_min_heap_empty#(; bh){bh := bin-heap(mkkeyarray(1), 0)};