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
Lemmas :
rec_select_update_lemma,
eta_conv,
iff_weakening_equal,
nat_wf,
Id_wf,
bool_wf
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:
2015_07_21-PM-04_28_35
Last ObjectModification:
2015_02_04-PM-05_59_40
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