Nuprl Lemma : eo-strict-forward-le
∀[Info:Type]. ∀eo:EO+(Info). ∀e:E. ∀a,b:E. (a ≤loc b ⇐⇒ a ≤loc b )
Proof
Definitions occuring in Statement :
eo-strict-forward: eo>e,
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-E: E,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
es-le: e ≤loc e' ,
es-locl: (e <loc e'),
member: t ∈ T,
subtype_rel: A ⊆r B,
top: Top,
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
prop: ℙ,
guard: {T},
uimplies: b supposing a,
rev_implies: P ⇐ Q,
or: P ∨ Q
Latex:
\mforall{}[Info:Type]. \mforall{}eo:EO+(Info). \mforall{}e:E. \mforall{}a,b:E. (a \mleq{}loc b \mLeftarrow{}{}\mRightarrow{} a \mleq{}loc b )
Date html generated:
2016_05_16-PM-01_16_01
Last ObjectModification:
2015_12_29-PM-01_56_53
Theory : event-ordering
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