Nuprl Lemma : once-classrel-weak
∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀v:A. (v ∈ (X once)(e) ⇐⇒ (no X prior to e) ∧ v ∈ {X}(e))
Proof
Definitions occuring in Statement :
once-class: (X once),
no-prior-classrel: (no X prior to e),
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
guard: {T},
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
universe: Type
Lemmas :
once-classrel,
classrel_wf,
once-class_wf,
no-prior-classrel_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mforall{}v:A. (v \mmember{} (X once)(e) \mLeftarrow{}{}\mRightarrow{} (no X prior to e) \mwedge{} v \mmember{} \{X\}(e))
Date html generated:
2015_07_20-PM-04_00_32
Last ObjectModification:
2015_01_27-PM-09_55_20
Home
Index