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Theorem ocnodups

⊦ n ≤ #oc(a, x) ∧ ¬ dups(x) → n ≤ 1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas: one-01, notin, one, ocappend, oc-e,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/one
  - nat/lels-01
  - nat/lez-01
  - list-dup/rec
  - list/a
  - list/c
  - nat/one-02
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/add-base