Nuprl Lemma : max-f-class_wf
∀[Info,A:Type]. ∀[f:A ⟶ ℤ]. ∀[X:EClass(A)]. ((v from X with maximum f[v]) ∈ EClass(A))
Proof
Definitions occuring in Statement :
max-f-class: (v from X with maximum f[v]),
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,
max-f-class: (v from X with maximum f[v]),
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
subtype_rel: A ⊆r B
Latex:
\mforall{}[Info,A:Type]. \mforall{}[f:A {}\mrightarrow{} \mBbbZ{}]. \mforall{}[X:EClass(A)]. ((v from X with maximum f[v]) \mmember{} EClass(A))
Date html generated:
2016_05_16-PM-11_10_18
Last ObjectModification:
2015_12_29-AM-10_33_33
Theory : event-ordering
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