Nuprl Lemma : cut-order_witness
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[a,b:E(X)].
(a ≤(X;f) b ⇒ (Ax ∈ a ≤(X;f) b))
Proof
Definitions occuring in Statement :
cut-order: a ≤(X;f) b,
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
top: Top,
implies: P ⇒ Q,
member: t ∈ T,
universe: Type,
axiom: Ax
Lemmas :
fset-member_wf-cut,
cut-of_wf,
fset-singleton_wf,
es-E-interface_wf,
sys-antecedent_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
fset-member_witness,
es-eq_wf-interface,
es-cut_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:sys-antecedent(es;X)]. \mforall{}[a,b:E(X)].
(a \mleq{}(X;f) b {}\mRightarrow{} (Ax \mmember{} a \mleq{}(X;f) b))
Date html generated:
2015_07_21-PM-03_58_58
Last ObjectModification:
2015_01_27-PM-05_51_15
Home
Index