Nuprl Lemma : es-total-class_wf
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. (es-total-class(es;X) ∈ ℙ)
Proof
Definitions occuring in Statement :
es-total-class: es-total-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-total-class: es-total-class(es;X),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
nat: ℕ,
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T)]. (es-total-class(es;X) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-PM-01_41_04
Last ObjectModification:
2015_12_29-PM-02_10_00
Theory : event-ordering
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