Nuprl Lemma : es-first-since_wf
∀[es:EO]. ∀[e1:E]. ∀[e2:{e:E| loc(e) = loc(e1) ∈ Id} ]. ∀[p:{e:E| loc(e) = loc(e1) ∈ Id} ⟶ ℙ].
(e2 = first e ≥ e1.p[e] ∈ ℙ)
Proof
Definitions occuring in Statement :
es-first-since: e2 = first e ≥ e1.P[e],
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ⟶ B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-first-since: e2 = first e ≥ e1.P[e],
prop: ℙ,
and: P ∧ Q,
so_apply: x[s],
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
all: ∀x:A. B[x],
uimplies: b supposing a
Latex:
\mforall{}[es:EO]. \mforall{}[e1:E]. \mforall{}[e2:\{e:E| loc(e) = loc(e1)\} ]. \mforall{}[p:\{e:E| loc(e) = loc(e1)\} {}\mrightarrow{} \mBbbP{}].
(e2 = first e \mgeq{} e1.p[e] \mmember{} \mBbbP{})
Date html generated:
2016_05_16-AM-09_54_18
Last ObjectModification:
2015_12_28-PM-09_31_55
Theory : new!event-ordering
Home
Index