Nuprl Lemma : es-knows_wf
∀[poss:EO ─→ ℙ']. ∀[R:PossibleEvent(poss) ─→ PossibleEvent(poss) ─→ ℙ']. ∀[P:PossibleEvent(poss) ─→ ℙ'].
∀[e:PossibleEvent(poss)].
(K(P)@e ∈ ℙ')
Proof
Definitions occuring in Statement :
es-knows: K(P)@e,
possible-event: PossibleEvent(poss),
event_ordering: EO,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ─→ B[x]
Lemmas :
all_wf,
possible-event_wf,
event_ordering_wf
\mforall{}[poss:EO {}\mrightarrow{} \mBbbP{}']. \mforall{}[R:PossibleEvent(poss) {}\mrightarrow{} PossibleEvent(poss) {}\mrightarrow{} \mBbbP{}'].
\mforall{}[P:PossibleEvent(poss) {}\mrightarrow{} \mBbbP{}']. \mforall{}[e:PossibleEvent(poss)].
(K(P)@e \mmember{} \mBbbP{}')
Date html generated:
2015_07_17-AM-08_51_58
Last ObjectModification:
2015_01_27-PM-01_18_01
Home
Index