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Theorem abs-log-toset-inter-restr-empty

⊦ ¬ n ∈ nx → abs-log(nx, gstore).toSet ∩ (as | n) = ∅

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: in-restr-eq-notin-log,
Used by units in proved state: gjournal-refine,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 9
Used lemmas: abs-log-rec, abs-log-base,
Used spec theorems:
- set-basic/node-store/Extension
Used simplifier rules:
- list+set/address-list-set/toSet-empty
- set-union/node-store/int-e
- list/nat-list-set/in-06
- list/address-list-set/a
- list+set/address-list-set/toSet-app
- list/nat-list-set/a
- list/nat-list-set/c
- ablock/group-store/elim
- set-union/node-store/unc
- set-union/node-store/una
- set-union/node-store/intu-empty
- set-basic/node-store/size-zero-01
- set-basic/node-store/size-zero
- set-basic/node-store/ne-01
- ablock-store-refsize-cons/group-store/restrict-leb
- set-union/node-store/int-c
- set-union/node-store/int-a
- list+set/address-list-set/toSet-ext
- set-union/node-store/Intersect
- set-basic/node-store/In-empty
- ablock-store-inv/group-store/to-adrs-in
- address-data/elim