Nuprl Lemma : es-effective-causle
∀es:EO. ∀e,e':E. (e c≤ e' ⇒ es-effective(es;e') ⇒ es-effective(es;e))
Proof
Definitions occuring in Statement :
es-effective: es-effective(es;e),
es-causle: e c≤ 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-effective: es-effective(es;e),
exists: ∃x:A. B[x],
and: P ∧ Q,
member: t ∈ T,
uall: ∀[x:A]. B[x],
decidable: Dec(P),
or: P ∨ Q,
prop: ℙ,
cand: A c∧ B,
not: ¬A,
false: False,
guard: {T}
Latex:
\mforall{}es:EO. \mforall{}e,e':E. (e c\mleq{} e' {}\mRightarrow{} es-effective(es;e') {}\mRightarrow{} es-effective(es;e))
Date html generated:
2016_05_16-AM-10_22_06
Last ObjectModification:
2015_12_28-PM-09_20_32
Theory : new!event-ordering
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