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Theorem FO-in-FOWs

⊦ FO(t0) ∈ bel.FOWs(t, l) ↔ t = t0 ∧ FO(l) ∈ bel

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 20
Used lemmas: FOWs-one-FO, FOWs-one-W, FOWs-one-SF, FOWs-append, FOWs-base,
Used spec theorems:
- Used simplifier rules:
  - list/in-empty
  - list/a
  - list/in-rec
  - list/c
  - list/in-append
  - Bevent/disj-FO-SF
  - Bevent/disj-W-FO
  - list/in-17
  - FOW/disj-FO-W
  - Bevent/inj-FO
  - FOW/inj-FO