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
Lemmas :
accum-class_wf,
lt_int_wf,
bool_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
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:
2015_07_20-PM-03_49_30
Last ObjectModification:
2015_01_27-PM-10_08_35
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