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Theorem to-adrs-in

⊦ @(m, m0, m1) ∈ lax.to-adr(n) ↔ m = n ∧ @(m0, m1) ∈ lax

Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by: addresslist-in, addresslist-in-lnum-simp, in-write-app, to-adrs-eq, to-adrs-eq-app, to-ards-no-dups,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 7
Used lemmas: adrs-rec, adrs-empty,
Used spec theorems:
- Used simplifier rules:
  - list/address-list-set/in-empty
  - list/laddress-list/in-empty
  - list/laddress-list/in-rec
  - list/address-list-set/a
  - list/address-list-set/in-rec
  - list/laddress-list/a
  - list/address-list-set/c
  - list/laddress-list/c
  - laddress/elim
  - laddress/inj
  - address-data/inj