Nuprl Lemma : interface-at-subtype
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[i:Id]. (E(X@i) ⊆r E(X))
Proof
Definitions occuring in Statement :
es-interface-at: X@i,
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
es-E-interface: E(X),
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
prop: ℙ
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[i:Id]. (E(X@i) \msubseteq{}r E(X))
Date html generated:
2016_05_16-PM-10_55_10
Last ObjectModification:
2015_12_29-AM-10_45_54
Theory : event-ordering
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