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Theorem orderedls-ls

⊦ b < a ∧ b ∈ x → ¬ ordered<(a ' + x)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: del1, orderedls-all,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas: ls-r, ls-o,
Used spec theorems:
- Used simplifier rules:
  - list/app
  - list/in-empty
  - oelem/irreflexivity
  - oelem/transitivity
  - list/in-rec
  - list/a
  - list/c
  - oelem/ls-le