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Theorem subseteq-dom-nodes-alloc-restrict-empty

⊦ as ⊆ dom nodes(st) ∧ ¬ n ∈ st → as | n = ∅

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: size-eq-0-alloc,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas: restrict-leb,
Used spec theorems:
- set-basic/address-store/Extension
Used simplifier rules:
- set-basic/address-store/size-zero-01
- set-basic/address-store/size-zero
- ablock-nodes/in-nodes
- store+set/address-store/Dom
- set-basic/address-store/ne-01
- set-basic/address-store/sub-in
- set-basic/address-store/In-empty
- ablock-store-inv/notin-notin
- address-data/elim