Nuprl Lemma : classfun-res_wf
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. ∀[e:E].
(X@e ∈ T) supposing (single-valued-classrel(es;X;T) and (↑e ∈b X))
Proof
Definitions occuring in Statement :
classfun-res: X@e,
single-valued-classrel: single-valued-classrel(es;X;T),
member-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
classfun-res: X@e,
classfun: X(e),
member: t ∈ T,
uall: ∀[x:A]. B[x],
eclass: EClass(A[eo; e]),
uimplies: b supposing a,
implies: P ⇒ Q,
iff: P ⇐⇒ Q,
and: P ∧ Q,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
prop: ℙ
Latex:
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T)]. \mforall{}[e:E].
(X@e \mmember{} T) supposing (single-valued-classrel(es;X;T) and (\muparrow{}e \mmember{}\msubb{} X))
Date html generated:
2016_05_16-PM-01_44_30
Last ObjectModification:
2015_12_29-PM-02_12_26
Theory : event-ordering
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