Nuprl Lemma : es-locl-op_wf
∀[es:EO]. ∀[T:Type]. ∀[f:T ⟶ E]. LocalOrderPreserving(f) ∈ ℙ supposing T ⊆r E
Proof
Definitions occuring in Statement :
es-locl-op: LocalOrderPreserving(f),
es-E: E,
event_ordering: EO,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
es-locl-op: LocalOrderPreserving(f),
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2]
Latex:
\mforall{}[es:EO]. \mforall{}[T:Type]. \mforall{}[f:T {}\mrightarrow{} E]. LocalOrderPreserving(f) \mmember{} \mBbbP{} supposing T \msubseteq{}r E
Date html generated:
2016_05_16-AM-09_21_26
Last ObjectModification:
2015_12_28-PM-09_53_23
Theory : new!event-ordering
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