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Theorem prefix-app-03

⊦ x + y + z ⊑ y ↔ x = [] ∧ z = []

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: prefix-longer-01, prefix-self,
Used spec theorems:
- Used simplifier rules:
  - list/app
  - list/Nil
  - list/len
  - list/a
  - nat/lels
  - nat/le-add
  - nat-basic2/a
  - nat-basic2/c
  - nat-basic2/z-01
  - list-data/l