Nuprl Lemma : es-is-interface-image
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[f:Top]. ∀[Ia:EClass(A)]. ∀[e:E]. (e ∈b f'Ia ~ e ∈b Ia)
Proof
Definitions occuring in Statement :
es-interface-image: f'Ia,
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
in-eclass: e ∈b X,
es-interface-image: f'Ia,
eclass-compose1: f o X,
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
top: Top
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[f:Top]. \mforall{}[Ia:EClass(A)]. \mforall{}[e:E]. (e \mmember{}\msubb{} f'Ia \msim{} e \mmember{}\msubb{} Ia)
Date html generated:
2016_05_16-PM-10_21_07
Last ObjectModification:
2015_12_29-AM-11_11_41
Theory : event-ordering
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