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Theorem no-dups-update-key

⊦ no-dups-idx(kar, m) ∧ kar[m1] = key-index(key0, m0) → no-dups-idx(kar[m1, key-index(key, m0)], m)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state: bin-min-heap-prepost,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 14
Used lemmas: no-dups-idx,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/f
  - array/key-index-array/Size-put
  - key-index/elim
  - key-index/sel-01
  - array/key-index-array/Put-other
  - key-index/inj
  - array/key-index-array/Put-same