Nuprl Lemma : fpf-is-empty_wf
∀[A:Type]. ∀[f:x:A fp-> Top]. (fpf-is-empty(f) ∈ 𝔹)
Proof
Definitions occuring in Statement :
fpf-is-empty: fpf-is-empty(f),
fpf: a:A fp-> B[a],
bool: 𝔹,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
fpf: a:A fp-> B[a],
fpf-is-empty: fpf-is-empty(f),
pi1: fst(t),
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[A:Type]. \mforall{}[f:x:A fp-> Top]. (fpf-is-empty(f) \mmember{} \mBbbB{})
Date html generated:
2016_05_16-AM-11_04_20
Last ObjectModification:
2015_12_29-AM-09_12_51
Theory : event-ordering
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