Nuprl Lemma : prior-as-rec-bind-class-in_wf
∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[i:Top + bag(A) + Top]. (prior-as-rec-bind-class-in(X;i) ∈ EClass(bag(A) + (bag(A)?)))
Proof
Definitions occuring in Statement :
prior-as-rec-bind-class-in: prior-as-rec-bind-class-in(X;i),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
top: Top,
unit: Unit,
member: t ∈ T,
union: left + right,
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
prior-as-rec-bind-class-in: prior-as-rec-bind-class-in(X;i),
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
uimplies: b supposing a,
top: Top
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[i:Top + bag(A) + Top].
(prior-as-rec-bind-class-in(X;i) \mmember{} EClass(bag(A) + (bag(A)?)))
Date html generated:
2016_05_17-AM-00_29_38
Last ObjectModification:
2015_12_29-AM-00_42_50
Theory : event-ordering
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