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Theorem referenced-adrs-in

⊦ adr ∈ referenced-adrs(ax, ri) ↔ adr ∈ ax ∧ adr ∈ ri

Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by: referenced-adrs-inter-empty, referenced-adrs-lookup-keys-nodups, referenced-adrs-nodups, referenced-adrs-split-one, referenced-adrs-subseteq-range,
Used by units in proved state: gjournal-abs,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 23
Used lemmas: referenced-adrs-rec, referenced-adrs-base,
Used spec theorems:
- Used simplifier rules:
  - list/address-list-set/in-rec
  - list/address-list-set/in-append
  - list/address-list-set/a
  - list/address-list-set/c
  - list/address-list-set/in-17
  - list/address-list-set/in-empty