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
Definitions unfolded in proof :
so_apply: x[s1;s2],
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
prop: ℙ,
implies: P ⇒ Q,
member: t ∈ T,
uall: ∀[x:A]. B[x],
cut-order: a ≤(X;f) b,
es-cut: Cut(X;f)
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:
2016_05_17-AM-07_33_32
Last ObjectModification:
2015_12_28-PM-11_43_58
Theory : event-ordering
Home
Index