Nuprl Lemma : eclass0_wf
∀[Info,B,C:Type]. ∀[X:EClass(B)]. ∀[f:Id ⟶ B ⟶ bag(C)]. ((f o X) ∈ EClass(C))
Proof
Definitions occuring in Statement :
eclass0: (f o X),
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eclass0: (f o X),
eclass: EClass(A[eo; e]),
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B)]. \mforall{}[f:Id {}\mrightarrow{} B {}\mrightarrow{} bag(C)]. ((f o X) \mmember{} EClass(C))
Date html generated:
2016_05_16-PM-02_08_52
Last ObjectModification:
2015_12_29-PM-02_28_25
Theory : event-ordering
Home
Index