Nuprl Lemma : has-latest-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:EClass(T)]. ∀[e:E]. ↑e ∈b (X)- supposing (↑e ∈b X) ∨ (↑e ∈b (X)')
Proof
Definitions occuring in Statement :
es-latest-val: (X)-,
es-prior-val: (X)',
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],
or: P ∨ Q,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
in-eclass: e ∈b X,
es-latest-val: (X)-,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
ifthenelse: if b then t else f fi ,
top: Top,
eq_int: (i =z j),
assert: ↑b,
true: True,
bfalse: ff,
eclass: EClass(A[eo; e]),
nat: ℕ,
rev_uimplies: rev_uimplies(P;Q),
prop: ℙ,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
or: P ∨ Q,
not: ¬A,
false: False
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[e:E].
\muparrow{}e \mmember{}\msubb{} (X)\msupminus{} supposing (\muparrow{}e \mmember{}\msubb{} X) \mvee{} (\muparrow{}e \mmember{}\msubb{} (X)')
Date html generated:
2016_05_17-AM-06_36_58
Last ObjectModification:
2015_12_29-AM-00_30_50
Theory : event-ordering
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