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Theorem cons-03

⊦ ordered≤(a ' + x) → ins≤(a, x) = a ' + x

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: ins-less-first,
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: ins-y, le-r, ins-e, app-01, cons-02,
Used spec theorems:
- Used simplifier rules:
  - list/c
  - list/a
  - list/app-08
  - list/app
  - list/c-04