Nuprl Lemma : es-info-mk-extended-eo
∀[Info,E:Type]. ∀[dom:E ⟶ 𝔹]. ∀[l:E ⟶ Id]. ∀[R:E ⟶ E ⟶ ℙ]. ∀[locless:E ⟶ E ⟶ 𝔹]. ∀[pred:E ⟶ E]. ∀[rank:E ⟶ ℕ].
∀[info:E ⟶ Info].
((λx.info(x)) = info ∈ (E ⟶ Info))
Proof
Definitions occuring in Statement :
mk-extended-eo: mk-extended-eo,
es-info: info(e),
Id: Id,
nat: ℕ,
bool: 𝔹,
uall: ∀[x:A]. B[x],
prop: ℙ,
lambda: λx.A[x],
function: x:A ⟶ B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
prop: ℙ,
implies: P ⇒ Q,
rev_implies: P ⇐ Q,
and: P ∧ Q,
iff: P ⇐⇒ Q,
guard: {T},
uimplies: b supposing a,
btrue: tt,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
top: Top,
member: t ∈ T,
all: ∀x:A. B[x],
es-info: info(e),
mk-extended-eo: mk-extended-eo,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}[Info,E:Type]. \mforall{}[dom:E {}\mrightarrow{} \mBbbB{}]. \mforall{}[l:E {}\mrightarrow{} Id]. \mforall{}[R:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}]. \mforall{}[locless:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbB{}].
\mforall{}[pred:E {}\mrightarrow{} E]. \mforall{}[rank:E {}\mrightarrow{} \mBbbN{}]. \mforall{}[info:E {}\mrightarrow{} Info].
((\mlambda{}x.info(x)) = info)
Date html generated:
2016_05_17-AM-08_20_09
Last ObjectModification:
2015_12_28-PM-11_05_07
Theory : event-ordering
Home
Index