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Theorem nonzero-numoc

⊦ n < m ∧ m ≤ # ar → (#oc(ar[n], ar, m) = 0 ↔ false)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas: numoc-rec, numoc-base,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/f
  - nat/fle
  - nat-basic1/zero-01
  - nat/succ-01
  - nat-basic2/s
  - nat-basic2/z-01
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/succ
  - nat/lels-03
  - nat/lels
  - nat/anti