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Theorem orderedls-le-attach

⊦ ¬ a0 < a ∧ a0 ∈ x → ¬ ordered<(x + a ')

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: ordered-last3, orderedls-eq-attach, orderedls-ls-attach,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas: ls-r, ols-two,
Used spec theorems:
- Used simplifier rules:
  - list/in-empty
  - list/a
  - list/c
  - list/in-rec
  - list/Nil
  - oelem/transitivity