Nuprl Lemma : es-rank_property-base
∀[es:EO]. ∀[e1,e2:es-base-E(es)]. es-rank(es;e1) < es-rank(es;e2) supposing (e1 < e2)
Proof
Definitions occuring in Statement :
es-rank: es-rank(es;e),
es-causl: (e < e'),
es-base-E: es-base-E(es),
event_ordering: EO,
less_than: a < b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
member: t ∈ T,
all: ∀x:A. B[x],
and: P ∧ Q,
implies: P ⇒ Q,
prop: ℙ
Latex:
\mforall{}[es:EO]. \mforall{}[e1,e2:es-base-E(es)]. es-rank(es;e1) < es-rank(es;e2) supposing (e1 < e2)
Date html generated:
2016_05_16-AM-09_14_59
Last ObjectModification:
2015_12_28-PM-09_57_49
Theory : new!event-ordering
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