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Theorem ordered-sublist2

⊦ ordered<(x + y + z) → ordered<(x + z)

Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 12
Used lemmas: orderedls-le, ordered-append-second, ordered-append,
Used spec theorems:
- Used simplifier rules:
  - list/app-02
  - list/Nil
  - list/app
  - list/a
  - list-data/elim-list-c
  - list/in-14
  - list/in-append
  - list/c
  - list-data/elim-add
  - weakord/nen
  - list/inapp-02
  - list/in-rec
  - list/e
  - list/c-06
  - list-last/last-elim
  - weakord/transitivity