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Theorem max-rec

⊦ ints ≠ [] → max(i ' + ints) = max(i, max(ints))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: count-i2j-max, divide-list-at-value, filterFun-max, max-app, max-del1, max-del1-01, max-le-rec, max-perm,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 16
Used lemmas: max-in-not-ls, max-in-01, max-def,
Used spec theorems:
- list/intlista/in-rec
Used simplifier rules:
- list/intlista/in-17
- list/intlista/in-append
- int-abs/anti
- int-abs/lels-02
- oelem/intlista/transitivity
- list/intlista/e-01
- list/intlista/a
- int-abs/lels-01
- int-min/Max-right
- int-min/max-a
- int-min/max-c
- int-abs/forward-lele
- int-min/max
- int-abs/lenls