Nuprl Lemma : eo-forward-causle-implies
∀[Info:Type]. ∀[eo:EO+(Info)]. ∀[e:E]. ∀[e1,e2:E]. (e1 c≤ e2 ⇒ e1 c≤ e2)
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-causle: e c≤ e',
es-E: E,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
member: t ∈ T,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
and: P ∧ Q,
cand: A c∧ B,
all: ∀x:A. B[x],
prop: ℙ,
iff: P ⇐⇒ Q
Latex:
\mforall{}[Info:Type]. \mforall{}[eo:EO+(Info)]. \mforall{}[e:E]. \mforall{}[e1,e2:E]. (e1 c\mleq{} e2 {}\mRightarrow{} e1 c\mleq{} e2)
Date html generated:
2016_05_16-PM-01_06_07
Last ObjectModification:
2015_12_29-PM-01_47_57
Theory : event-ordering
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