Nuprl Lemma : es-causl-trans-test
∀es:EO. ∀a,b,c,d,e,f:E. (a c≤ b ⇒ b ≤loc c ⇒ (c < d) ⇒ d c≤ e ⇒ e c≤ f ⇒ (a < f))
Proof
Definitions occuring in Statement :
es-causle: e c≤ e',
es-le: e ≤loc 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,
member: t ∈ T,
guard: {T},
prop: ℙ,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}es:EO. \mforall{}a,b,c,d,e,f:E. (a c\mleq{} b {}\mRightarrow{} b \mleq{}loc c {}\mRightarrow{} (c < d) {}\mRightarrow{} d c\mleq{} e {}\mRightarrow{} e c\mleq{} f {}\mRightarrow{} (a < f))
Date html generated:
2016_05_16-AM-09_20_38
Last ObjectModification:
2015_12_28-PM-09_53_51
Theory : new!event-ordering
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