Nuprl Lemma : fpf-single_wf2
∀[A,B:Type]. ∀[x:A]. ∀[v:B]. ∀[eqa:EqDecider(A)]. (x : v ∈ a:A fp-> x : B(a)?Top)
Proof
Definitions occuring in Statement :
fpf-single: x : v,
fpf-cap: f(x)?z,
fpf: a:A fp-> B[a],
deq: EqDecider(T),
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
universe: Type
Lemmas :
fpf-single_wf,
subtype-fpf-cap-top2,
subtype_rel_self,
assert_wf,
fpf-dom_wf,
top_wf,
deq_wf,
fpf_ap_pair_lemma,
cons_wf,
nil_wf,
subtype_rel_product,
list_wf,
l_member_wf,
subtype_rel_dep_function,
subtype_top,
set_wf,
bool_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot
\mforall{}[A,B:Type]. \mforall{}[x:A]. \mforall{}[v:B]. \mforall{}[eqa:EqDecider(A)]. (x : v \mmember{} a:A fp-> x : B(a)?Top)
Date html generated:
2015_07_17-AM-11_08_18
Last ObjectModification:
2015_01_28-AM-07_46_12
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