Nuprl Lemma : es-causl_transitivity1
∀es:EO. ∀x,y,z:E. (x c≤ y ⇒ (y < z) ⇒ (x < z))
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,
prop: ℙ,
uall: ∀[x:A]. B[x],
es-E: E,
es-base-E: es-base-E(es)
Latex:
\mforall{}es:EO. \mforall{}x,y,z:E. (x c\mleq{} y {}\mRightarrow{} (y < z) {}\mRightarrow{} (x < z))
Date html generated:
2016_05_16-AM-09_20_16
Last ObjectModification:
2015_12_28-PM-09_54_28
Theory : new!event-ordering
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