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Theorem remove-refsize0-subset-refed

⊦ refsize-cons(st, as) ∧ as ⊆ dom nodes(st) ∧ valid-adrs(as) → nodes(st) | as ⊆ nodes(remove-refsize0(st))

Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 12
Proof steps: 31
Used lemmas: restrict-in, size-eq-0, refsize-cons-def, valid-adrs,
Used spec theorems:
- store/address-store/Subset
- store+set/address-store/restrict-at
- ablock-store-inv/in
- ablock-store-inv/at-remove-refsize0
- ablock-store-inv/at
- ablock-store-inv/in-remove-refsize0
Used simplifier rules:
- set-basic/address-store/size-zero-01
- set-basic/address-store/ne-01
- store+set/address-store/restrict-in
- address-data/elim
- store+set/address-store/Dom
- set-basic/address-store/sub-in
- ablock/elim
- ablock-nodes/in-nodes
- ablock-nodes/at-nodes
- ablock-store-inv/in-remove-refsize0
- ablock-store-inv/at-remove-refsize0
- ablock-store-inv/in-adr-in
- ablock/sel-03
- ablock/inj
- address-data/sel-03
- address-data/sel-04
- ablock/sel-01
- ablock/sel-02
- store/ablock-store-nat-store/notmemlookup
- ablock-store-inv/notin-notin
- address-data/sel-05