Nuprl Lemma : es-le_transitivity
∀es:EO. ∀a,b,c:E. (a ≤loc b ⇒ b ≤loc c ⇒ a ≤loc c )
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
all: ∀x:A. B[x],
implies: P ⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
member: t ∈ T,
trans: Trans(T;x,y.E[x; y]),
prop: ℙ,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}es:EO. \mforall{}a,b,c:E. (a \mleq{}loc b {}\mRightarrow{} b \mleq{}loc c {}\mRightarrow{} a \mleq{}loc c )
Date html generated:
2016_05_16-AM-09_19_44
Last ObjectModification:
2015_12_28-PM-09_54_49
Theory : new!event-ordering
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