Nuprl Lemma : set-sig-empty-prop
∀[Item:Type]. ∀[s:set-sig{i:l}(Item)]. ∀[x:Item]. (¬↑(set-sig-member(s) x set-sig-empty(s)))
Proof
Definitions occuring in Statement :
set-sig-empty: set-sig-empty(s),
set-sig-member: set-sig-member(s),
set-sig: set-sig{i:l}(Item),
assert: ↑b,
uall: ∀[x:A]. B[x],
not: ¬A,
apply: f a,
universe: Type
Lemmas :
subtype_rel_self,
valueall-type_wf,
bool_wf,
all_wf,
not_wf,
assert_wf,
iff_wf,
equal_wf,
or_wf,
set_wf,
set-sig-member_wf,
set-sig-empty_wf,
set-sig_wf
\mforall{}[Item:Type]. \mforall{}[s:set-sig\{i:l\}(Item)]. \mforall{}[x:Item]. (\mneg{}\muparrow{}(set-sig-member(s) x set-sig-empty(s)))
Date html generated:
2015_07_17-AM-08_21_09
Last ObjectModification:
2015_04_02-PM-05_42_50
Home
Index