Nuprl Lemma : is-interface-conditional-implies
∀[Info:Type]. ∀es:EO+(Info). ∀X,Y:EClass(Top). ∀e:E. (↑e ∈b X) ∨ (↑e ∈b Y) supposing ↑e ∈b [X?Y]
Proof
Definitions occuring in Statement :
cond-class: [X?Y],
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
or: P ∨ Q,
universe: Type
Lemmas :
assert_witness,
in-eclass_wf,
cond-class_wf,
top_wf,
is-interface-conditional,
assert_wf,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}X,Y:EClass(Top). \mforall{}e:E. (\muparrow{}e \mmember{}\msubb{} X) \mvee{} (\muparrow{}e \mmember{}\msubb{} Y) supposing \muparrow{}e \mmember{}\msubb{} [X?Y]
Date html generated:
2015_07_17-PM-00_51_41
Last ObjectModification:
2015_01_27-PM-11_01_43
Home
Index