Nuprl Lemma : es-E-interface-subtype_rel-implies
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(Top)]. {∀[e:E(X)]. (↑e ∈b Y)} supposing E(X) ⊆r E(Y)
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
assert: ↑b,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
top: Top,
guard: {T},
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
guard: {T},
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
es-E-interface: E(X),
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X,Y:EClass(Top)]. \{\mforall{}[e:E(X)]. (\muparrow{}e \mmember{}\msubb{} Y)\} supposing E(X) \msubseteq{}r E(Y)
Date html generated:
2016_05_16-PM-02_50_47
Last ObjectModification:
2015_12_29-AM-11_22_42
Theory : event-ordering
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