Nuprl Lemma : cut-order_transitivity
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[a,b,c:E(X)].
(a ≤(X;f) c) supposing (b ≤(X;f) c and 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),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type
Lemmas :
cut-order_witness,
cut-order_wf,
es-E-interface_wf,
sys-antecedent_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
cut-subset-cut,
fset-singleton_wf,
f-singleton-subset,
es-eq_wf-interface,
cut-of_wf,
es-cut_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:sys-antecedent(es;X)]. \mforall{}[a,b,c:E(X)].
(a \mleq{}(X;f) c) supposing (b \mleq{}(X;f) c and a \mleq{}(X;f) b)
Date html generated:
2015_07_21-PM-04_05_16
Last ObjectModification:
2015_01_27-PM-05_47_09
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