Nuprl Lemma : ds-agrees_wf
∀[ds:x:Id fp-> Type]. ∀[T:Id ⟶ Type]. (ds-agrees(ds;x.T[x]) ∈ ℙ)
Proof
Definitions occuring in Statement :
ds-agrees: ds-agrees(ds;x.T[x]),
fpf: a:A fp-> B[a],
Id: Id,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
ds-agrees: ds-agrees(ds;x.T[x]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
subtype_rel: A ⊆r B,
so_apply: x[s],
uimplies: b supposing a,
all: ∀x:A. B[x],
top: Top
Latex:
\mforall{}[ds:x:Id fp-> Type]. \mforall{}[T:Id {}\mrightarrow{} Type]. (ds-agrees(ds;x.T[x]) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-AM-11_41_46
Last ObjectModification:
2015_12_29-AM-09_34_29
Theory : event-ordering
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