Nuprl Lemma : mk-eo-record_wf
∀[E:Type]. ∀[dom:E ─→ 𝔹]. ∀[l:E ─→ Id]. ∀[R:E ─→ E ─→ ℙ]. ∀[locless:E ─→ E ─→ 𝔹]. ∀[pred:E ─→ E]. ∀[rank:E ─→ ℕ].
(mk-eo-record(E;dom;l;R;locless;pred;rank) ∈ eo_record{i:l}())
Proof
Definitions occuring in Statement :
mk-eo-record: mk-eo-record(E;dom;l;R;locless;pred;rank),
eo_record: eo_record{i:l}(),
Id: Id,
nat: ℕ,
bool: 𝔹,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
eq_atom_wf,
uiff_transitivity,
equal-wf-base,
atom_subtype_base,
assert_wf,
eqtt_to_assert,
assert_of_eq_atom,
subtype_base_sq,
rec_select_update_lemma,
iff_transitivity,
bnot_wf,
not_wf,
iff_weakening_uiff,
eqff_to_assert,
assert_of_bnot,
bool_wf,
nat_wf,
Id_wf
\mforall{}[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{}].
(mk-eo-record(E;dom;l;R;locless;pred;rank) \mmember{} eo\_record\{i:l\}())
Date html generated:
2015_07_17-AM-08_33_50
Last ObjectModification:
2015_01_27-PM-02_59_59
Home
Index