Nuprl Lemma : eo-record-record
∀r:eo_record{i:l}(). (r ∈ record(x.eo-record-type{i:l}(r) x))
Proof
Definitions occuring in Statement :
eo-record-type: eo-record-type{i:l}(r),
eo_record: eo_record{i:l}(),
all: ∀x:A. B[x],
member: t ∈ T,
apply: f a,
record: record(x.T[x])
Definitions unfolded in proof :
all: ∀x:A. B[x],
eo_record: eo_record{i:l}(),
record+: record+,
member: t ∈ T,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
uall: ∀[x:A]. B[x],
guard: {T},
prop: ℙ,
eo-record-type: eo-record-type{i:l}(r),
record: record(x.T[x]),
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
squash: ↓T,
label: ...$L... t,
sq_type: SQType(T),
true: True,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
bfalse: ff,
exists: ∃x:A. B[x],
or: P ∨ Q,
bnot: ¬bb,
assert: ↑b,
false: False,
top: Top
Latex:
\mforall{}r:eo\_record\{i:l\}(). (r \mmember{} record(x.eo-record-type\{i:l\}(r) x))
Date html generated:
2016_05_16-AM-09_13_22
Last ObjectModification:
2016_01_17-PM-01_32_35
Theory : new!event-ordering
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