Nuprl Lemma : is-max-f-class
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[f:Top]. ∀[X:EClass(A)]. ∀[e:E].
(e ∈b (v from X with maximum f[v]) ~ e ∈b X)
Proof
Definitions occuring in Statement :
max-f-class: (v from X with maximum f[v]),
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-accum-class,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf,
top_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[f:Top]. \mforall{}[X:EClass(A)]. \mforall{}[e:E].
(e \mmember{}\msubb{} (v from X with maximum f[v]) \msim{} e \mmember{}\msubb{} X)
Date html generated:
2015_07_20-PM-03_49_46
Last ObjectModification:
2015_01_27-PM-10_07_01
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