Nuprl Lemma : single-valued-classrel-all-implies-bag
∀[Info,T:Type]. ∀[X:EClass(T)].
∀[es:EO+(Info)]. ∀[e:E]. single-valued-bag(X es e;T) supposing single-valued-classrel-all{i:l}(Info;T;X)
Proof
Definitions occuring in Statement :
single-valued-classrel-all: single-valued-classrel-all{i:l}(Info;T;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
apply: f a,
universe: Type,
single-valued-bag: single-valued-bag(b;T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
implies: P ⇒ Q,
single-valued-classrel-all: single-valued-classrel-all{i:l}(Info;T;X),
all: ∀x:A. B[x],
single-valued-bag: single-valued-bag(b;T),
eclass: EClass(A[eo; e]),
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)].
\mforall{}[es:EO+(Info)]. \mforall{}[e:E]. single-valued-bag(X es e;T)
supposing single-valued-classrel-all\{i:l\}(Info;T;X)
Date html generated:
2016_05_16-PM-01_42_31
Last ObjectModification:
2015_12_29-PM-02_10_34
Theory : event-ordering
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