Nuprl Lemma : event-ordering+-subtype
∀[A,B:Type]. EO+(A) ⊆r EO+(B) supposing A ⊆r B
Proof
Definitions occuring in Statement :
event-ordering+: EO+(Info),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
all: ∀x:A. B[x]
Latex:
\mforall{}[A,B:Type]. EO+(A) \msubseteq{}r EO+(B) supposing A \msubseteq{}r B
Date html generated:
2016_05_16-PM-01_00_36
Last ObjectModification:
2015_12_29-PM-01_44_26
Theory : event-ordering
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