Nuprl Lemma : es-locl-first
∀[the_es:EO]. ∀[e,e':E]. first(e') = ff supposing (e <loc e')
Proof
Definitions occuring in Statement :
es-locl: (e <loc e'),
es-first: first(e),
es-E: E,
event_ordering: EO,
bfalse: ff,
bool: 𝔹,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
assert: ↑b,
ifthenelse: if b then t else f fi ,
bfalse: ff,
not: ¬A,
false: False,
prop: ℙ,
es-E: E,
es-base-E: es-base-E(es),
rev_implies: P ⇐ Q
Latex:
\mforall{}[the$_{es}$:EO]. \mforall{}[e,e':E]. first(e') = ff supposing (e <loc e')
Date html generated:
2016_05_16-AM-09_18_30
Last ObjectModification:
2015_12_28-PM-09_55_46
Theory : new!event-ordering
Home
Index