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
Lemmas :
es-E_wf,
event-ordering+_subtype,
is-imax-class,
assert_wf,
in-eclass_wf,
top_wf
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:
2015_07_20-PM-03_47_34
Last ObjectModification:
2015_01_27-PM-10_06_26
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