Nuprl Lemma : es-p-le-pred_wf
∀[es:EO]. ∀[P:E ⟶ ℙ]. (es-p-le-pred(es;P) ∈ E ⟶ E ⟶ ℙ)
Proof
Definitions occuring in Statement :
es-p-le-pred: es-p-le-pred(es;P),
es-E: E,
event_ordering: EO,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x]
Definitions unfolded in proof :
es-p-le-pred: es-p-le-pred(es;P),
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
so_apply: x[s]
Latex:
\mforall{}[es:EO]. \mforall{}[P:E {}\mrightarrow{} \mBbbP{}]. (es-p-le-pred(es;P) \mmember{} E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{})
Date html generated:
2016_05_16-AM-10_08_19
Last ObjectModification:
2015_12_28-PM-09_26_22
Theory : new!event-ordering
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