Nuprl Lemma : map-class_wf
∀[Info,A,B:Type]. ∀[f:A ─→ B]. ∀[X:EClass(A)]. ((f[v] where v from X) ∈ EClass(B))
Proof
Definitions occuring in Statement :
map-class: (f[v] where 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],
universe: Type
Lemmas :
es-filter-image_wf,
single-bag_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
\mforall{}[Info,A,B:Type]. \mforall{}[f:A {}\mrightarrow{} B]. \mforall{}[X:EClass(A)]. ((f[v] where v from X) \mmember{} EClass(B))
Date html generated:
2015_07_17-PM-01_08_05
Last ObjectModification:
2015_01_27-PM-10_33_04
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