Nuprl Lemma : es-is-le-interface-iff
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀e:E. (↑e ∈b le(X) ⇐⇒ (↑e ∈b prior(X)) ∨ (↑e ∈b X))
Proof
Definitions occuring in Statement :
es-le-interface: le(X),
es-prior-interface: prior(X),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
or: P ∨ Q,
universe: Type
Lemmas :
exists_wf,
es-le_wf,
assert_wf,
in-eclass_wf,
or_wf,
es-locl_wf,
es-is-le-interface,
es-le-interface_wf,
top_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
subtype_top,
es-E-interface_wf,
iff_wf,
es-is-prior-interface,
es-prior-interface_wf0,
eclass_wf,
event-ordering+_wf,
and_wf,
equal_wf,
assert_elim,
subtype_base_sq,
bool_wf,
bool_subtype_base,
es-le_weakening,
es-le_weakening_eq
Latex:
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}e:E. (\muparrow{}e \mmember{}\msubb{} le(X) \mLeftarrow{}{}\mRightarrow{} (\muparrow{}e \mmember{}\msubb{} prior(X)) \mvee{} (\muparrow{}e \mmember{}\msubb{} X))
Date html generated:
2015_07_21-PM-02_45_17
Last ObjectModification:
2015_01_27-PM-07_37_26
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