Nuprl Lemma : es-causl-trans3
∀es:EO. ∀a,b,c:E. ((a < b) ⇒ b c≤ c ⇒ (a < c))
Proof
Definitions occuring in Statement :
es-causle: e c≤ e',
es-causl: (e < 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-causle: e c≤ e',
or: P ∨ Q,
member: t ∈ T,
and: P ∧ Q,
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 < b) {}\mRightarrow{} b c\mleq{} c {}\mRightarrow{} (a < c))
Date html generated:
2016_05_16-AM-09_20_10
Last ObjectModification:
2015_12_28-PM-09_54_21
Theory : new!event-ordering
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