Nuprl Lemma : E-imax-class
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[f,lb:Top]. ∀[X:EClass(Top)]. (E((maximum f[v] ≥ lb with v from X)) = E(X) ∈ Type)
Proof
Definitions occuring in Statement :
imax-class: (maximum f[v] ≥ lb with v from X),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-E-interface: E(X),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
top: Top,
so_apply: x[s],
prop: ℙ
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f,lb:Top]. \mforall{}[X:EClass(Top)].
(E((maximum f[v] \mgeq{} lb with v from X)) = E(X))
Date html generated:
2016_05_16-PM-11_08_16
Last ObjectModification:
2015_12_29-AM-10_35_22
Theory : event-ordering
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