Nuprl Lemma : is-imax-class
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[f,lb:Top]. ∀[X:EClass(Top)]. ∀[e:E]. (e ∈b (maximum f[v] ≥ lb with v from X) ~ e ∈b X)
Proof
Definitions occuring in Statement :
imax-class: (maximum f[v] ≥ lb with v from X),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s],
universe: Type,
sqequal: s ~ t
Lemmas :
is-interface-accum,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
top_wf,
event-ordering+_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f,lb:Top]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E].
(e \mmember{}\msubb{} (maximum f[v] \mgeq{} lb with v from X) \msim{} e \mmember{}\msubb{} X)
Date html generated:
2015_07_20-PM-03_47_20
Last ObjectModification:
2015_01_27-PM-10_05_51
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