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Theorem nodes-ginval-inter

⊦ dom gstore ∩ ginval = ∅ → nodes(gstore, ginval) = nodes(gstore, ∅)

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: 13
Used lemmas: nodes-gstore-at, nodes-gstore-in,
Used spec theorems:
- store/node-store/k-Extension
- ablock-store-inv/group-store/in
Used simplifier rules:
- address-data/elim
- address-data/sel-05
- address-data/sel-04
- ablock/group-store/elim
- apersistence-base/dom-gstore-intersect-in-gstore
- set-union/nat-set/int-c
- set-union/nat-set/int-a
- groupnode/elim
- address-data/sel-03
- set-basic/nat-set/In-empty
- groupnode/sel
- store/node-store/notmemlookup
- ablock-store-inv/group-store/in-in-adr