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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
mk-eo-record: mk-eo-record(E;dom;l;R;locless;pred;rank),
eo_record: eo_record{i:l}(),
record+: record+,
record-update: r[x := v],
record: record(x.T[x]),
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
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 ,
sq_type: SQType(T),
guard: {T},
record-select: r.x,
eq_atom: x =a y,
bfalse: ff,
iff: P ⇐⇒ Q,
not: ¬A,
prop: ℙ,
rev_implies: P ⇐ Q
Latex:
\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:
2016_05_16-AM-09_13_30
Last ObjectModification:
2015_12_28-PM-09_59_30
Theory : new!event-ordering
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