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Theorem nodes-alloc-append

⊦ ¬ n ∈ st → nodes(st[n, mkblock(a ', ladr ', m1)]) = nodes(st)[@(n, ladr.off, ladr.size), a]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 16
Used lemmas: at-nodes, in-nodes,
Used spec theorems:
- store/address-store/k-Extension
- ablock-store-inv/at
- ablock-store-inv/in
Used simplifier rules:
- laddress/elim
- store/address-store/At-same
- store/address-store/insin
- address-data/sel-03
- ablock/sel-01
- address-data/sel-04
- address-data/sel-05
- ablock/sel-02
- list-del/laddress-list/pos-one
- list-del/one-03
- ablock-store-inv/in-write-explicit
- store/address-store/At-other
- ablock-store-inv/in-alloc
- store/address-store/in-neq
- address-data/elim
- ablock/elim
- store/ablock-store-nat-store/At-same
- ablock/inj
- store/ablock-store-nat-store/In-insert
- ablock-store-inv/notin-notin
- list/laddress-list/in-17
- laddress/inj
- store/ablock-store-nat-store/in-neq
- store/ablock-store-nat-store/At-other
- ablock-store-inv/at-explicit-other
- ablock-store-inv/in-in-adr