Nuprl Lemma : eo-reset-dom_wf
∀[es:EO]. ∀[d:es-base-E(es) ⟶ 𝔹]. (eo-reset-dom(es;d) ∈ EO)
Proof
Definitions occuring in Statement :
eo-reset-dom: eo-reset-dom(es;d),
es-base-E: es-base-E(es),
event_ordering: EO,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
event_ordering: EO,
prop: ℙ,
eo_record: eo_record{i:l}(),
record+: record+,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
guard: {T},
eo-reset-dom: eo-reset-dom(es;d),
so_lambda: λ2x.t[x],
so_apply: x[s],
top: Top,
record-update: r[x := v],
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
sq_type: SQType(T),
bfalse: ff,
iff: P ⇐⇒ Q,
not: ¬A,
rev_implies: P ⇐ Q,
es-base-E: es-base-E(es),
eo_axioms: eo_axioms(r)
Latex:
\mforall{}[es:EO]. \mforall{}[d:es-base-E(es) {}\mrightarrow{} \mBbbB{}]. (eo-reset-dom(es;d) \mmember{} EO)
Date html generated:
2016_05_16-AM-09_13_59
Last ObjectModification:
2015_12_28-PM-09_59_16
Theory : new!event-ordering
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