Nuprl Lemma : eo-forward-le-subtype
∀es:EO. ∀e:E. ∀a:E. ({e1:E| e1 ≤loc a } ⊆r {e1:E| e1 ≤loc a } )
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
set: {x:A| B[x]}
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
prop: ℙ
Latex:
\mforall{}es:EO. \mforall{}e:E. \mforall{}a:E. (\{e1:E| e1 \mleq{}loc a \} \msubseteq{}r \{e1:E| e1 \mleq{}loc a \} )
Date html generated:
2016_05_16-PM-01_06_41
Last ObjectModification:
2015_12_29-PM-01_48_37
Theory : event-ordering
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