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Theorem isPropFO-cons-leading-FO

⊦ isPropFO(n, l, bel) → FO(t) ' + (bel.FOWs(t, l)).tail = bel.FOWs(t, l)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 24
Used lemmas: FOWs-one-FO, isPropFO-rec, isPropFO-def, isPropFO-not-leading-W, FOWs-one-W, isPropFO-leading-SF, FOWs-one-SF, FOWs-append, isPropFO-empty, FOWs-base,
Used spec theorems:
- Used simplifier rules:
  - list/app-02
  - list/e
  - list/a
  - list/c
  - list/Nil
  - list/c-07
  - list/len-06
  - list/c-04
  - FOW/disj-FO-W
  - list-del/get-zero
  - Bevent/disj-W-FO
  - nat-basic/succ
  - Bevent/sel-W-dotl
  - Bevent/disj-W-SF
  - nat-basic/a
  - nat-basic/c
  - list/len-01
  - Bevent/inj-FO
  - Bevent/sel-FO-dotl
  - Bevent/disj-FO-SF