Nuprl Lemma : ma-state-subtype
∀[ds,ds':ltg:Id fp-> Type]. State(ds') ⊆r State(ds) supposing ds ⊆ ds'
Proof
Definitions occuring in Statement :
ma-state: State(ds),
fpf-sub: f ⊆ g,
fpf: a:A fp-> B[a],
id-deq: IdDeq,
Id: Id,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
ma-state: State(ds),
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],
prop: ℙ
Latex:
\mforall{}[ds,ds':ltg:Id fp-> Type]. State(ds') \msubseteq{}r State(ds) supposing ds \msubseteq{} ds'
Date html generated:
2016_05_16-AM-11_38_50
Last ObjectModification:
2015_12_29-AM-09_32_24
Theory : event-ordering
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