Nuprl Lemma : imax-class_wf
∀[Info,T:Type]. ∀[f:T ─→ ℤ]. ∀[lb:ℤ]. ∀[X:EClass(T)]. ((maximum f[v] ≥ lb with v from X) ∈ EClass(ℤ))
Proof
Definitions occuring in Statement :
imax-class: (maximum f[v] ≥ lb with v from X),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
int: ℤ,
universe: Type
Lemmas :
es-interface-accum_wf,
imax_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info,T:Type]. \mforall{}[f:T {}\mrightarrow{} \mBbbZ{}]. \mforall{}[lb:\mBbbZ{}]. \mforall{}[X:EClass(T)].
((maximum f[v] \mgeq{} lb with v from X) \mmember{} EClass(\mBbbZ{}))
Date html generated:
2015_07_20-PM-03_47_03
Last ObjectModification:
2015_01_27-PM-10_06_49
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