Nuprl Lemma : pe-es_wf

[p:EO ⟶ ℙ']. ∀[e:PossibleEvent(p)].  (pe-es(e) ∈ EO)


Proof




Definitions occuring in Statement :  pe-es: pe-es(e) possible-event: PossibleEvent(poss) event_ordering: EO uall: [x:A]. B[x] prop: member: t ∈ T function: x:A ⟶ B[x]
Definitions unfolded in proof :  pe-es: pe-es(e) possible-event: PossibleEvent(poss) uall: [x:A]. B[x] member: t ∈ T subtype_rel: A ⊆B so_lambda: λ2x.t[x] prop: so_apply: x[s] uimplies: supposing a all: x:A. B[x] top: Top

Latex:
\mforall{}[p:EO  {}\mrightarrow{}  \mBbbP{}'].  \mforall{}[e:PossibleEvent(p)].    (pe-es(e)  \mmember{}  EO)



Date html generated: 2016_05_16-AM-09_51_50
Last ObjectModification: 2015_12_28-PM-09_34_51

Theory : new!event-ordering


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