Nuprl Lemma : return-class-val
∀[Info:Type]. ∀[x:Top]. ∀[es:EO+(Info)]. ∀[e:E]. return-class(x)(e) ~ x supposing ↑e ∈b return-class(x)
Proof
Definitions occuring in Statement :
return-class: return-class(x),
eclass-val: X(e),
in-eclass: e ∈b X,
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
return-class: return-class(x),
eclass-val: X(e),
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,
bfalse: ff,
prop: ℙ,
not: ¬A,
false: False
Latex:
\mforall{}[Info:Type]. \mforall{}[x:Top]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
return-class(x)(e) \msim{} x supposing \muparrow{}e \mmember{}\msubb{} return-class(x)
Date html generated:
2016_05_16-PM-02_25_23
Last ObjectModification:
2015_12_29-AM-11_42_14
Theory : event-ordering
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