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Theorem down-store-notin-notin

⊦ ¬ adr ∈ gstore → ¬ adr ∈ gstore ↓

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: adr-in-ri-in-gstore, notin-notin-nodes-down,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 10
Used lemmas: valid-group-nodes-entire, down-block-explicit, down-store-at, down-store-in,
Used spec theorems:
- ablock-store-inv/group-store/in
Used simplifier rules:
- address-data/elim
- address-data/sel-05
- address-data/sel-04
- address-data/sel-03
- ablock/group-store/inj
- list-prefixn/laddress-list/prefixn-notin
- list-prefixn/group-store/prefixn-fulln
- ablock/group-store/elim