Nuprl Lemma : es-interface-predecessors-no_repeats
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[e:E]. no_repeats(E(X);≤(X)(e))
Proof
Definitions occuring in Statement :
es-interface-predecessors: ≤(X)(e),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
no_repeats: no_repeats(T;l),
uall: ∀[x:A]. B[x],
top: Top,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
es-E-interface: E(X),
uimplies: b supposing a,
implies: P ⇒ Q,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
not: ¬A,
false: False,
prop: ℙ
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E]. no\_repeats(E(X);\mleq{}(X)(e))
Date html generated:
2016_05_17-AM-06_58_42
Last ObjectModification:
2015_12_29-AM-00_13_53
Theory : event-ordering
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