Nuprl Lemma : is-map-class
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[f:Top]. ∀[X:EClass(Top)]. ∀[e:E]. (e ∈b (f[v] where v from X) ~ e ∈b X)
Proof
Definitions occuring in Statement :
map-class: (f[v] where v from X),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s],
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
map-class: (f[v] where v from X),
uall: ∀[x:A]. B[x],
member: t ∈ T,
top: Top,
all: ∀x:A. B[x],
eq_int: (i =z j),
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f:Top]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E].
(e \mmember{}\msubb{} (f[v] where v from X) \msim{} e \mmember{}\msubb{} X)
Date html generated:
2016_05_16-PM-10_30_24
Last ObjectModification:
2015_12_29-AM-11_02_48
Theory : event-ordering
Home
Index