Nuprl Lemma : es-fix-order-preserving
∀[Info:Type]
∀es:EO+(Info). ∀X:EClass(Top). ∀f:E(X) ─→ E(X).
((∀x:E(X). f x c≤ x) ⇒ global-order-preserving(es;X;f) ⇒ interface-order-preserving(es;X;λe.f**(e)))
Proof
Definitions occuring in Statement :
global-order-preserving: global-order-preserving(es;X;f),
interface-order-preserving: interface-order-preserving(es;X;f),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-fix: f**(e),
es-causle: e c≤ e',
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
apply: f a,
lambda: λx.A[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
es-fix_wf2,
es-fix_property,
es-locl_wf,
event-ordering+_subtype,
equal_wf,
Id_wf,
es-loc_wf,
global-order-preserving_wf,
all_wf,
es-causle_wf,
es-E-interface_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_wf
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}f:E(X) {}\mrightarrow{} E(X).
((\mforall{}x:E(X). f x c\mleq{} x)
{}\mRightarrow{} global-order-preserving(es;X;f)
{}\mRightarrow{} interface-order-preserving(es;X;\mlambda{}e.f**(e)))
Date html generated:
2015_07_17-PM-01_02_13
Last ObjectModification:
2015_01_27-PM-10_43_09
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