Nuprl Lemma : tree-flow-order-preserving
∀[Info:Type]
∀es:EO+(Info). ∀X:EClass(Top). ∀f:E(X) ─→ E(X).
(interface-order-preserving(es;X;f) ⇒ tree-flow{i:l}(es;X;f) ⇒ global-order-preserving(es;X;f))
Proof
Definitions occuring in Statement :
tree-flow: tree-flow{i:l}(es;X;f),
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),
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
universe: Type
Lemmas :
convergent-flow-order-preserving,
tree-flow-convergent,
tree-flow_wf,
interface-order-preserving_wf,
subtype_rel_dep_function,
es-E-interface_wf,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
top_wf,
event-ordering+_wf,
es-locl_wf,
Id_wf,
es-loc_wf,
fun-connected_wf
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}f:E(X) {}\mrightarrow{} E(X).
(interface-order-preserving(es;X;f)
{}\mRightarrow{} tree-flow\{i:l\}(es;X;f)
{}\mRightarrow{} global-order-preserving(es;X;f))
Date html generated:
2015_07_17-PM-00_59_59
Last ObjectModification:
2015_01_27-PM-10_44_46
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