Nuprl Lemma : prior_iterated_classrel_wf
∀[Info,A,S:Type]. ∀[init:Id ─→ bag(S)]. ∀[f:A ─→ S ─→ S]. ∀[X:EClass(A)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[s:S].
(s ∈ prior(X*(f,init,e)) ∈ ℙ)
Proof
Definitions occuring in Statement :
prior_iterated_classrel: s ∈ prior(X*(f,init,e)),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
or_wf,
assert_wf,
es-first_wf2,
bag-member_wf,
es-loc_wf,
not_wf,
iterated_classrel_wf,
es-pred_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
Id_wf,
bag_wf
\mforall{}[Info,A,S:Type]. \mforall{}[init:Id {}\mrightarrow{} bag(S)]. \mforall{}[f:A {}\mrightarrow{} S {}\mrightarrow{} S]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mforall{}[s:S].
(s \mmember{} prior(X*(f,init,e)) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-PM-00_25_33
Last ObjectModification:
2015_01_27-PM-11_34_39
Home
Index