Nuprl Lemma : set-sig-union_wf
∀[Item:Type]. ∀[s:set-sig{i:l}(Item)]. (set-sig-union(s) ∈ set-sig-set(s) ─→ set-sig-set(s) ─→ set-sig-set(s))
Proof
Definitions occuring in Statement :
set-sig-union: set-sig-union(s),
set-sig-set: set-sig-set(s),
set-sig: set-sig{i:l}(Item),
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
subtype_rel_self,
valueall-type_wf,
bool_wf,
all_wf,
not_wf,
assert_wf,
iff_wf,
equal_wf,
or_wf,
set-sig_wf
\mforall{}[Item:Type]. \mforall{}[s:set-sig\{i:l\}(Item)].
(set-sig-union(s) \mmember{} set-sig-set(s) {}\mrightarrow{} set-sig-set(s) {}\mrightarrow{} set-sig-set(s))
Date html generated:
2015_07_17-AM-08_21_16
Last ObjectModification:
2015_04_02-PM-05_42_58
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