Nuprl Lemma : eo_record_cumulative
eo_record{i:l}() ⊆r eo_record{j:l} supposing Type ⊆r 𝕌{j}
Proof
Definitions occuring in Statement :
eo_record: eo_record{i:l}(),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
universe: Type
Definitions unfolded in proof :
uimplies: b supposing a,
member: t ∈ T,
subtype_rel: A ⊆r B,
eo_record: eo_record{i:l}(),
record+: record+,
record-select: r.x,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
uall: ∀[x:A]. B[x],
guard: {T},
prop: ℙ,
record: record(x.T[x]),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
uiff: uiff(P;Q),
and: P ∧ Q,
sq_type: SQType(T),
bfalse: ff,
iff: P ⇐⇒ Q,
not: ¬A,
rev_implies: P ⇐ Q,
top: Top,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
eo\_record\{i:l\}() \msubseteq{}r eo\_record\{j:l\} supposing Type \msubseteq{}r \mBbbU{}\{j\}
Date html generated:
2016_05_16-AM-09_13_16
Last ObjectModification:
2015_12_28-PM-09_58_54
Theory : new!event-ordering
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