Nuprl Lemma : testnlrst
∀es:EO. ∀A:Type. ((A ⊆r E) ⇒ (∀a,b,c:A. ((a < b) ⇒ (b < c) ⇒ (c < a) ⇒ False)))
Proof
Definitions occuring in Statement :
es-causl: (e < e'),
es-E: E,
event_ordering: EO,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
implies: P ⇒ Q,
false: False,
universe: Type
Lemmas :
es-causl_wf,
subtype_rel_wf,
es-E_wf,
event_ordering_wf,
es-causl_transitivity2,
es-causle_weakening,
es-causl_irreflexivity
Latex:
\mforall{}es:EO. \mforall{}A:Type. ((A \msubseteq{}r E) {}\mRightarrow{} (\mforall{}a,b,c:A. ((a < b) {}\mRightarrow{} (b < c) {}\mRightarrow{} (c < a) {}\mRightarrow{} False)))
Date html generated:
2015_07_23-PM-00_24_50
Last ObjectModification:
2015_01_29-AM-01_30_29
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