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Theorem numoc-swap

⊦ m < # ar ∧ n < # ar → #oc(a, ar[n, ar[m]][m, ar[n]], # ar) = #oc(a, ar, # ar)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 1
Used lemmas: numoc-swap-gen,
Used spec theorems:
- Used simplifier rules:
  - nat/ler