Nuprl Lemma : fpf-cap-wf-univ
∀[A:Type]. ∀[f:a:A fp-> Type]. ∀[eq:EqDecider(A)]. ∀[x:A]. ∀[z:Type]. (f(x)?z ∈ Type)
Proof
Definitions occuring in Statement :
fpf-cap: f(x)?z,
fpf: a:A fp-> B[a],
deq: EqDecider(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Lemmas :
deq_wf,
fpf_wf,
fpf-dom_wf,
subtype-fpf2,
top_wf,
subtype_top,
bool_wf,
fpf-ap_wf,
equal-wf-T-base,
assert_wf,
bnot_wf,
not_wf,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot
\mforall{}[A:Type]. \mforall{}[f:a:A fp-> Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[x:A]. \mforall{}[z:Type]. (f(x)?z \mmember{} Type)
Date html generated:
2015_07_17-AM-09_16_26
Last ObjectModification:
2015_01_28-AM-07_51_55
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