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Theorem prefixn-toset-inter-empty

⊦ ax.toSet ∩ as = ∅ → prefixn(n, ax).toSet ∩ as = ∅

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas:
Used spec theorems:
- list-prefixn/address-list-set/prefixn
Used simplifier rules:
- set-basic/node-store/size-zero-01
- set-basic/node-store/size-zero
- list+set/address-list-set/toSet-app
- list/address-list-set/a
- set-union/node-store/intu-empty
- set-union/node-store/int-c
- set-union/node-store/una
- set-union/node-store/unc
- set-union/node-store/int-a
- list-del/address-list-set/elim-firstn-restn