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Theorem count-i2j-empty-02

⊦ count-i2j(i, j) = [] ↔ j < i

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: count-empty, count-i2j-empty-01, count-i2j-length, count-i2j-max, count-i2j-min, count-i2j-ordered, count-rec,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: counti2j-rec, counti2j-empty,
Used spec theorems:
- Used simplifier rules:
  - int-abs/lels
  - list/intlista/Last
  - list/intlista/app-02-ant
  - list/intlista/e
  - list/intlista/a