Nuprl Lemma : eo-reset-dom_wf_extended
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[d:es-base-E(es) ⟶ 𝔹]. (eo-reset-dom(es;d) ∈ EO+(Info))
Proof
Definitions occuring in Statement :
event-ordering+: EO+(Info),
eo-reset-dom: eo-reset-dom(es;d),
es-base-E: es-base-E(es),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
event-ordering+: EO+(Info),
record+: record+,
eo-reset-dom: eo-reset-dom(es;d),
record-update: r[x := v],
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
sq_type: SQType(T),
guard: {T},
record-select: r.x,
bfalse: ff,
iff: P ⇐⇒ Q,
not: ¬A,
prop: ℙ,
rev_implies: P ⇐ Q,
eq_atom: x =a y,
es-base-E: es-base-E(es)
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[d:es-base-E(es) {}\mrightarrow{} \mBbbB{}]. (eo-reset-dom(es;d) \mmember{} EO+(Info))
Date html generated:
2016_05_16-PM-01_01_54
Last ObjectModification:
2015_12_29-PM-01_44_48
Theory : event-ordering
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