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
Lemmas :
all_wf,
Id_wf,
assert_wf,
fpf-dom_wf,
id-deq_wf,
subtype-fpf2,
top_wf,
subtype_top,
ext-eq_wf,
fpf-ap_wf,
fpf_wf
\mforall{}[ds:x:Id fp-> Type]. \mforall{}[T:Id {}\mrightarrow{} Type]. (ds-agrees(ds;x.T[x]) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-11_18_56
Last ObjectModification:
2015_01_28-AM-07_34_16
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