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Theorem reorder-fo-in-p

⊦ reorder(l, fowl0, fowl1, rfo) → (FO(t) ∈ fowl0 ↔ FO(t) ∈ fowl1 ∨ FO(l) ∈ rfo(t))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 20
Used lemmas: reorder-rec-W, reorder-rec-FO, propFOs-one-fo-same, propFOs-append, reorder-base,
Used spec theorems:
- list/in-def
Used simplifier rules:
- list/in-empty
- list/a
- list/c
- list/app-02
- list/e
- list/in-rec
- FOW/inj-FO
- list/in-append
- FOW/disj-FO-W
- list-data/elim-add