Nuprl Lemma : es-interface-pred_wf2
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. (X-pred ∈ E(X) ⟶ E(X))
Proof
Definitions occuring in Statement :
es-interface-pred: X-pred,
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
es-interface-pred: X-pred,
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
es-E-interface: E(X),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
bfalse: ff,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. (X-pred \mmember{} E(X) {}\mrightarrow{} E(X))
Date html generated:
2016_05_17-AM-06_50_28
Last ObjectModification:
2015_12_29-AM-00_21_15
Theory : event-ordering
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