Nuprl Lemma : es-locl_transitivity2
∀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-locl: (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,
es-le: e ≤loc e' ,
or: P ∨ Q,
member: t ∈ T,
prop: ℙ,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}es:EO. \mforall{}a,b,c:E. ((a <loc b) {}\mRightarrow{} b \mleq{}loc c {}\mRightarrow{} (a <loc c))
Date html generated:
2016_05_16-AM-09_19_40
Last ObjectModification:
2015_12_28-PM-09_54_51
Theory : new!event-ordering
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