Nuprl Lemma : on-loc-class-single-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:Id ⟶ EClass(T)].
single-valued-classrel(es;on-loc-class(X);T) supposing ∀i:Id. single-valued-classrel(es;X i;T)
Proof
Definitions occuring in Statement :
on-loc-class: on-loc-class(X),
single-valued-classrel: single-valued-classrel(es;X;T),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
apply: f a,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
single-valued-classrel: single-valued-classrel(es;X;T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
uimplies: b supposing a
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X:Id {}\mrightarrow{} EClass(T)].
single-valued-classrel(es;on-loc-class(X);T) supposing \mforall{}i:Id. single-valued-classrel(es;X i;T)
Date html generated:
2016_05_17-AM-09_32_18
Last ObjectModification:
2015_12_29-PM-04_00_07
Theory : classrel!lemmas
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