Nuprl Lemma : es-causle-interface-retraction
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀f:E(X) ─→ E(X). ((∀x:E(X). f x c≤ x) ⇒ retraction(E(X);f))
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-causle: e c≤ e',
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
apply: f a,
function: x:A ─→ B[x],
universe: Type,
retraction: retraction(T;f)
Lemmas :
es-causle-retraction,
event-ordering+_subtype,
es-E-interface-strong-subtype,
all_wf,
es-E-interface_wf,
es-causle_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{} retraction(E(X);f))
Date html generated:
2015_07_17-PM-00_57_33
Last ObjectModification:
2015_01_27-PM-10_45_18
Home
Index