Nuprl Lemma : class-ap-val_wf
∀[Info,A,B:Type]. ∀[X:EClass(A ⟶ B)]. ∀[a:A]. (X(a) ∈ EClass(B))
Proof
Definitions occuring in Statement :
class-ap-val: X(v),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
class-ap-val: X(v),
eclass: EClass(A[eo; e]),
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A {}\mrightarrow{} B)]. \mforall{}[a:A]. (X(a) \mmember{} EClass(B))
Date html generated:
2016_05_16-PM-02_07_49
Last ObjectModification:
2015_12_29-PM-02_27_21
Theory : event-ordering
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