Nuprl Lemma : loc-on-path-singleton
∀es:EO. ∀e:E. ∀i:Id. (loc-on-path(es;i;[e]) ⇐⇒ loc(e) = i ∈ Id)
Proof
Definitions occuring in Statement :
loc-on-path: loc-on-path(es;i;L),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
cons: [a / b],
nil: [],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
equal: s = t ∈ T
Definitions unfolded in proof :
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
or: P ∨ Q,
member: t ∈ T,
prop: ℙ,
uall: ∀[x:A]. B[x],
rev_implies: P ⇐ Q,
false: False
Latex:
\mforall{}es:EO. \mforall{}e:E. \mforall{}i:Id. (loc-on-path(es;i;[e]) \mLeftarrow{}{}\mRightarrow{} loc(e) = i)
Date html generated:
2016_05_16-AM-09_54_06
Last ObjectModification:
2015_12_28-PM-09_32_40
Theory : new!event-ordering
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