Nuprl Lemma : send-once-loc-class-eq-once-simple-loc-comb-0
∀[Info,A:Type]. ∀[b:Id ⟶ bag(A)]. (send-once-loc-class(b) = (simple-loc-comb-0(b) once) ∈ EClass(A))
Proof
Definitions occuring in Statement :
simple-loc-comb-0: simple-loc-comb-0(b),
send-once-loc-class: send-once-loc-class(b),
once-class: (X once),
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type,
equal: s = t ∈ T,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
send-once-loc-class: send-once-loc-class(b),
squash: ↓T,
prop: ℙ,
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2],
simple-loc-comb-0: simple-loc-comb-0(b),
select: L[n],
uimplies: b supposing a,
all: ∀x:A. B[x],
nil: [],
it: ⋅,
top: Top,
simple-loc-comb: F|Loc; Xs|,
eclass: EClass(A[eo; e]),
true: True
Latex:
\mforall{}[Info,A:Type]. \mforall{}[b:Id {}\mrightarrow{} bag(A)]. (send-once-loc-class(b) = (simple-loc-comb-0(b) once))
Date html generated:
2016_05_17-AM-00_18_54
Last ObjectModification:
2016_01_17-PM-06_44_49
Theory : event-ordering
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