Nuprl Lemma : interface-order-preserving_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:E(X) ⟶ E]. (interface-order-preserving(es;X;f) ∈ ℙ)
Proof
Definitions occuring in Statement :
interface-order-preserving: interface-order-preserving(es;X;f),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
top: Top,
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
interface-order-preserving: interface-order-preserving(es;X;f),
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
subtype_rel: A ⊆r B,
es-E-interface: E(X),
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
and: P ∧ Q,
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:E(X) {}\mrightarrow{} E].
(interface-order-preserving(es;X;f) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-PM-10_14_27
Last ObjectModification:
2015_12_29-AM-11_17_36
Theory : event-ordering
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