Nuprl Lemma : fpf-dom-list_wf
∀[A:Type]. ∀[eq:EqDecider(A)]. ∀[f:a:A fp-> Top]. (fpf-dom-list(f) ∈ {a:A| ↑a ∈ dom(f)} List)
Proof
Definitions occuring in Statement :
fpf-dom-list: fpf-dom-list(f),
fpf-dom: x ∈ dom(f),
fpf: a:A fp-> B[a],
deq: EqDecider(T),
list: T List,
assert: ↑b,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type
Lemmas :
list-set-type,
subtype_rel_list_set,
l_member_wf,
assert_wf,
deq-member_wf,
assert-deq-member,
fpf_wf,
top_wf,
deq_wf
\mforall{}[A:Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[f:a:A fp-> Top]. (fpf-dom-list(f) \mmember{} \{a:A| \muparrow{}a \mmember{} dom(f)\} List)
Date html generated:
2015_07_17-AM-11_14_28
Last ObjectModification:
2015_01_28-AM-07_40_34
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