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Theorem in-write-same

st[n].list = x, st[n].ladrlist = lax ⊦ n ∈ st → (adr ∈ st[n, mkblock(x, lax, m)] ↔ adr ∈ st)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 8
Used lemmas: notin-notin, in-adr-in, in-in-adr, in,
Used spec theorems:
- Used simplifier rules:
  - ablock/elim
  - address-data/elim
  - store/ablock-store-nat-store/At-other
  - store/ablock-store-nat-store/in-neq
  - store/ablock-store-nat-store/At-same
  - ablock/inj
  - store/ablock-store-nat-store/insin