Nuprl Lemma : member-parallel-class
∀[Info,A:Type]. ∀[X,Y:EClass(A)]. ∀[es:EO+(Info)]. ∀[e:E]. uiff(↑e ∈b X || Y;↑(e ∈b X ∨be ∈b Y))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
member-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
bor: p ∨bq,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
universe: Type
Lemmas :
iff_transitivity,
assert_wf,
bnot_wf,
eq_int_wf,
bag-size_wf,
bag-append_wf,
nat_wf,
not_wf,
equal-wf-T-base,
iff_weakening_uiff,
assert_of_bnot,
assert_of_eq_int,
assert_of_bor,
bag-size-append,
bor_wf,
or_wf
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X,Y:EClass(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. uiff(\muparrow{}e \mmember{}\msubb{} X || Y;\muparrow{}(e \mmember{}\msubb{} X \mvee{}\msubb{}e \mmember{}\msubb{} Y))
Date html generated:
2015_07_23-AM-11_26_55
Last ObjectModification:
2015_01_28-PM-11_15_41
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