Nuprl Lemma : es-E-filter-image
∀[Info,A:Type]. ∀[f:A ⟶ bag(Top)]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. (E(f[X]) ⊆r E(X))
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
es-filter-image: f[X],
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
top: Top,
function: x:A ⟶ B[x],
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
es-E-interface: E(X),
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
all: ∀x:A. B[x],
top: Top,
prop: ℙ
Latex:
\mforall{}[Info,A:Type]. \mforall{}[f:A {}\mrightarrow{} bag(Top)]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. (E(f[X]) \msubseteq{}r E(X))
Date html generated:
2016_05_16-PM-10_28_35
Last ObjectModification:
2015_12_29-AM-11_04_16
Theory : event-ordering
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