Nuprl Lemma : is-or-latest
∀[Info,A,B:Type]. ∀es:EO+(Info). ∀X:EClass(A). ∀Y:EClass(B). ∀e:E. (↑e ∈b (X |- Y) ⇐⇒ (↑e ∈b X) ∨ (↑e ∈b Y))
Proof
Definitions occuring in Statement :
es-or-latest: (X |- Y),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
or: P ∨ Q,
universe: Type
Lemmas :
in-eclass_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
bool_wf,
eqtt_to_assert,
assert_wf,
or_wf,
true_wf,
primed-class_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
es-is-interface-union,
latest-pair_wf,
es-interface-union_wf,
is-latest-pair,
subtype_top,
iff_wf,
eclass_wf,
event-ordering+_wf,
false_wf
Latex:
\mforall{}[Info,A,B:Type].
\mforall{}es:EO+(Info). \mforall{}X:EClass(A). \mforall{}Y:EClass(B). \mforall{}e:E. (\muparrow{}e \mmember{}\msubb{} (X |\msupminus{} Y) \mLeftarrow{}{}\mRightarrow{} (\muparrow{}e \mmember{}\msubb{} X) \mvee{} (\muparrow{}e \mmember{}\msubb{} Y))
Date html generated:
2015_07_21-PM-03_46_18
Last ObjectModification:
2015_01_27-PM-06_27_29
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