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Proof step 1 from proof prepost-insert (conclusion)

bin-heap-inv(bh, ar), ar0 = ar, bh0 = bh, ki.idx < # ar, ∀ ki0. ki0 ∈ keyset(bh0) → ki0.idx ≠ ki.idx ⊦ ⟪bin_min_heap_insert#(ki; bh, ar)⟫ (bin-heap-inv(bh, ar) ∧ id-idx(ar0, ar) ∧ keyset(bh) = keyset(bh0) ++ ki)

System applied rule normalize

And obtained the following new goals

Proof step 2:
ar0 = ar, bh0 = bh, ki.idx < # ar, bin-heap-inv(bh, ar), ∀ ki0. ki0 ∈ keyset(bh0) → ki0.idx ≠ ki.idx ⊦ ⟪bin_min_heap_insert#(ki; bh, ar)⟫ (bin-heap-inv(bh, ar) ∧ id-idx(ar0, ar) ∧ keyset(bh) = keyset(bh0) ++ ki)

Proof step 1 from proof prepost-insert (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information