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Theorem key-set-in

⊦ bin-heap-inv(bh, ar) → (ki ∈ keyset(bh) ↔ (∃ m. m < bh.size ∧ ki = bh.ar[m]))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas: bin-heap-inv-def, keyset,
Used spec theorems:
- bin-min-heap-inv/key-set-extract-index
Used simplifier rules:
- bin-min-heap/elim