Nuprl Lemma : parallel-class-zero
∀[T,Info:Type]. ∀[X:EClass(T)]. (X || Empty = X ∈ EClass(T))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
es-empty-interface: Empty,
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eclass: EClass(A[eo; e]),
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
es-empty-interface: Empty,
parallel-class: X || Y,
eclass-compose2: eclass-compose2(f;X;Y),
all: ∀x:A. B[x]
Latex:
\mforall{}[T,Info:Type]. \mforall{}[X:EClass(T)]. (X || Empty = X)
Date html generated:
2016_05_16-PM-02_28_06
Last ObjectModification:
2015_12_29-AM-11_38_40
Theory : event-ordering
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