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Theorem cons-02

⊦ ordered≤(a ' + x) → ordered≤(x)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localforward,
Comment:
Used by: app, app-01, app-02, cons-03, del1-01, del1-01-01, del1-01-02, eqdef, ins-less-first, ole-01, ole-in, ole-last, ordered-append, ordered-ex-divide-lels, ordered-ex-divide-lsle, ordered-postfix, ordered-prefix, orderedle-all, orderedle-ls,
Used by units in proved state: olist-sort, olist-min-max,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: le-r, le-e, le-o,
Used spec theorems:
- Used simplifier rules:
  - list/c
  - list/a
  - list/app