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)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
prior_iterated_classrel: s ∈ prior(X*(f,init,e)),
prop: ℙ,
and: P ∧ Q,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\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:
2016_05_16-PM-01_52_50
Last ObjectModification:
2015_12_29-PM-02_15_34
Theory : event-ordering
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