Nuprl Lemma : es-pred?_wf
∀[es:EO]. ∀[e:E]. (es-pred?(es;e) ∈ {e':E| (e' <loc e) ∧ (e' = pred(e) ∈ E)} ?)
Proof
Definitions occuring in Statement :
es-locl: (e <loc e'),
es-pred?: es-pred?(es;e),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
uall: ∀[x:A]. B[x],
and: P ∧ Q,
unit: Unit,
member: t ∈ T,
set: {x:A| B[x]} ,
union: left + right,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-pred?: es-pred?(es;e),
es-E: E,
es-base-E: es-base-E(es),
all: ∀x:A. B[x],
implies: P ⇒ Q,
exposed-bfalse: exposed-bfalse,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
prop: ℙ,
bfalse: ff,
not: ¬A,
so_lambda: λ2x.t[x],
so_apply: x[s],
es-locl: (e <loc e'),
false: False,
guard: {T},
cand: A c∧ B
Latex:
\mforall{}[es:EO]. \mforall{}[e:E]. (es-pred?(es;e) \mmember{} \{e':E| (e' <loc e) \mwedge{} (e' = pred(e))\} ?)
Date html generated:
2016_05_16-AM-09_17_30
Last ObjectModification:
2015_12_28-PM-09_56_39
Theory : new!event-ordering
Home
Index