Nuprl Lemma : squash-classrel
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:T]. uiff(↓v ∈ X(e);v ∈ X(e))
Proof
Definitions occuring in Statement :
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
squash: ↓T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
classrel: v ∈ X(e),
bag-member: x ↓∈ bs,
squash: ↓T,
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T]. uiff(\mdownarrow{}v \mmember{} X(e);v \mmember{} X(e))
Date html generated:
2016_05_16-PM-01_38_24
Last ObjectModification:
2016_01_17-PM-07_50_27
Theory : event-ordering
Home
Index