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Theorem nodes-remove-refsize0

⊦ dom remove-refsize0(gstore) ∩ ginval = ∅ → nodes(remove-refsize0(gstore), ∅) = nodes(gstore, ginval) \ refsize0-addresses(gstore \ ginval)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 14
Proof steps: 36
Used lemmas: nodes-gstore-at, refsize0-addresses, nodes-gstore-in,
Used spec theorems:
- store/node-store/k-Extension
- store+set/node-store/Diff-ext
- ablock-store-inv/group-store/in
- store+set/node-store/Diff-get
- set-basic/nat-set/Extension
- ablock-store-inv/group-store/at-remove-refsize0
- ablock-store-inv/group-store/at
Used simplifier rules:
- address-data/elim
- ablock/group-store/elim
- store/group-store-ablock-store-nat-store/notmemlookup
- ablock-store-inv/group-store/notin-notin
- ablock-store-inv/group-store/in-adr-in
- apersistence-base/dom-gstore-intersect-in-gstore
- ablock-store-inv/group-store/at-remove-refsize0
- set-basic/nat-set/In-empty
- groupnode/elim
- store+set/node-store/Diff-mems-get
- set-basic/nat-set/size-zero-01
- ablock-store-inv/group-store/in-diff
- set-basic/nat-set/ne-01
- store+set/group-store-ablock-store-nat-store/Diff-mems-get
- store/node-store/notmemlookup
- set-union/nat-set/Intersect
- store+set/group-store-ablock-store-nat-store/Dom
- ablock-store-inv/group-store/in-remove-refsize0
- set-union/nat-set/int-a
- set-union/nat-set/int-c
- store+set/group-store-ablock-store-nat-store/Diff-get
- ablock-store-inv/group-store/in-in-adr
- ablock-store-inv/group-store/in-diff-explicit
- ablock/group-store/sel-03
- ablock/group-store/inj
- address-data/sel-03
- address-data/sel-04
- address-data/sel-05
- ablock/group-store/sel-01
- ablock/group-store/sel-02
- groupnode/inj