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Theorem prefix-notin-fwd

⊦ ¬ adr ∈ st1 ∧ st0 ⊑ st1 → ¬ adr ∈ st0

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by:
Used by units in proved state: persistence-refine, apersistence-asm, ablock-nodes,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 13
Used lemmas: in, blockstore-prefix,
Used spec theorems:
- set-union/nat-set/subdef
Used simplifier rules:
- address-data/elim
- ablock/elim
- store+set/ablock-store-nat-store/Dom
- ablock/sel-01
- address-data/sel-03
- address-data/sel-04
- address-data/sel-05
- ablock/sel-02
- list-last/laddress-list/prefix-in-02