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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
imax-class: (maximum f[v] ≥ lb with v from X),
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2]
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:
2016_05_16-PM-11_07_34
Last ObjectModification:
2015_12_29-AM-10_36_52
Theory : event-ordering
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