Nuprl Lemma : es-interface-triple-def
∀[Info,A,B,C:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[Z:EClass(C)]. ((X,Y,Z) = (X,(Y,Z)) ∈ EClass(A × B × C))
Proof
Definitions occuring in Statement :
es-interface-triple: (X,Y,Z),
es-interface-pair: (X,Y),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
product: x:A × B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-interface-triple: (X,Y,Z),
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A,B,C:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[Z:EClass(C)]. ((X,Y,Z) = (X,(Y,Z)))
Date html generated:
2016_05_17-AM-07_16_05
Last ObjectModification:
2015_12_29-AM-00_02_34
Theory : event-ordering
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