Nuprl Lemma : alle-between1-true
∀[es:EO]. ∀[e1:E]. ∀[e2:{e:E| loc(e) = loc(e1) ∈ Id} ]. uiff(∀e∈[e1,e2).True;True)
Proof
Definitions occuring in Statement :
alle-between1: ∀e∈[e1,e2).P[e],
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
true: True,
set: {x:A| B[x]} ,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
true: True,
prop: ℙ,
so_lambda: λ2x.t[x],
all: ∀x:A. B[x],
so_apply: x[s],
alle-between1: ∀e∈[e1,e2).P[e],
implies: P ⇒ Q
Latex:
\mforall{}[es:EO]. \mforall{}[e1:E]. \mforall{}[e2:\{e:E| loc(e) = loc(e1)\} ]. uiff(\mforall{}e\mmember{}[e1,e2).True;True)
Date html generated:
2016_05_16-AM-09_43_23
Last ObjectModification:
2015_12_28-PM-09_40_43
Theory : new!event-ordering
Home
Index