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Theorem in-write-app

# x1 = # lax1, # x = # lax, st[n].list = x, st[n].ladrlist = lax ⊦ n ∈ st → (adr ∈ st[n, mkblock(x + x1, lax + lax1, m)] ↔ adr ∈ st ∨ adr ∈ lax1.to-adr(n))

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: at-write-app,
Used by units in proved state: ablock-nodes,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas: to-adrs-in, in,
Used spec theorems:
- store/ablock-store-nat-store/At-other
Used simplifier rules:
- ablock/elim
- address-data/elim
- store/ablock-store-nat-store/in-neq
- address-data/sel-03
- address-data/sel-04
- address-data/sel-05
- store/ablock-store-nat-store/insin
- store/ablock-store-nat-store/At-same
- ablock/sel-02
- list/laddress-list/in-append
- list/laddress-list/a