Nuprl Lemma : es-E-interface-conditional2
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(Top)]. (E([X?Y]) ⊆r {e:E| (↑e ∈b Y) ∨ (↑e ∈b X)} )
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
cond-class: [X?Y],
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
top: Top,
or: P ∨ Q,
set: {x:A| B[x]} ,
universe: Type
Lemmas :
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
es-E-interface_wf,
cond-class_wf,
is-cond-class,
or_wf,
assert_wf,
in-eclass_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X,Y:EClass(Top)]. (E([X?Y]) \msubseteq{}r \{e:E| (\muparrow{}e \mmember{}\msubb{} Y) \mvee{} (\muparrow{}e \mmember{}\msubb{} X)\} )
Date html generated:
2015_07_17-PM-00_56_54
Last ObjectModification:
2015_01_27-PM-10_47_57
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