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Theorem orderedle-append2-split

⊦ ordered≤(x + a ' + b ' + y) ↔ ordered≤(x + a ') ∧ ordered≤(b ' + y) ∧ ¬ b < a

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: le-r, app, orderedle-append, cons-02, app-01,
Used spec theorems:
- Used simplifier rules:
  - list/a
  - list/app-02
  - list/e
  - list/c-08
  - list-last/last-def