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Theorem restrict-dom

⊦ dom(iast | as) = dom iast ∩ as

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas:
Used spec theorems:
- set-basic/node-store/Extension
Used simplifier rules:
- set-union/node-store/Intersect
- store+set/index-store-address-store/Dom
- set-union/node-store/int-a
- set-union/node-store/int-c
- store+set/index-store-address-store/restrict-in
- set-basic/node-store/ne-01
- store+set/index-store-address-store/in-dom-inter