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Theorem new-write

⊦ new(ax, fs) → (new(ax, fs[adr, nd]) ↔ ¬ adr ∈ ax)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 11
Used lemmas: new-rec, new-base,
Used spec theorems:
- Used simplifier rules:
  - list/address-list-set/in-empty
  - list/address-list-set/in-rec
  - list/address-list-set/a
  - node-store/in-insert
  - list/address-list-set/c