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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
implies: P ⇒ Q,
uimplies: b supposing a,
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
es-E-interface: E(X),
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
global-order-preserving: global-order-preserving(es;X;f),
iff: P ⇐⇒ Q,
and: P ∧ Q,
es-locl: (e <loc e'),
es-causl: (e < e'),
squash: ↓T,
rev_implies: P ⇐ Q
Latex:
\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:
2016_05_16-PM-10_17_21
Last ObjectModification:
2016_01_17-PM-07_25_30
Theory : event-ordering
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