Nuprl Lemma : cut-order-prior
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[a:E(X)].
prior(X)(a) ≤(X;f) a supposing ↑a ∈b prior(X)
Proof
Definitions occuring in Statement :
cut-order: a ≤(X;f) b,
es-prior-interface: prior(X),
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type
Lemmas :
cut-order-iff1,
eclass-val_wf2,
es-prior-interface_wf,
cut-order_weakening,
es-causl_wf,
event-ordering+_subtype,
cut-order_wf,
equal_wf,
cut-order_witness,
assert_wf,
in-eclass_wf,
es-prior-interface_wf0,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_wf,
top_wf,
subtype_top,
es-E-interface_wf,
sys-antecedent_wf,
eclass_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:sys-antecedent(es;X)]. \mforall{}[a:E(X)].
prior(X)(a) \mleq{}(X;f) a supposing \muparrow{}a \mmember{}\msubb{} prior(X)
Date html generated:
2015_07_21-PM-04_04_53
Last ObjectModification:
2015_01_27-PM-05_47_41
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