Nuprl Lemma : es-sv-class-implies-single-valued-classrel
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. single-valued-classrel(es;X;T) supposing es-sv-class(es;X)
Proof
Definitions occuring in Statement :
single-valued-classrel: single-valued-classrel(es;X;T),
es-sv-class: es-sv-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
single-valued-classrel: single-valued-classrel(es;X;T),
es-sv-class: es-sv-class(es;X),
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
eclass: EClass(A[eo; e]),
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
decidable: Dec(P),
or: P ∨ Q,
nat: ℕ,
guard: {T},
prop: ℙ,
ge: i ≥ j ,
uimplies: b supposing a,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
not: ¬A,
top: Top,
and: P ∧ Q,
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
classrel: v ∈ X(e),
uiff: uiff(P;Q),
cand: A c∧ B
Latex:
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T)].
single-valued-classrel(es;X;T) supposing es-sv-class(es;X)
Date html generated:
2016_05_16-PM-01_45_49
Last ObjectModification:
2016_01_17-PM-07_48_32
Theory : event-ordering
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