Nuprl Lemma : eo_axioms_wf
∀[r:eo_record{i:l}()]. (eo_axioms(r) ∈ ℙ)
Proof
Definitions occuring in Statement :
eo_axioms: eo_axioms(r),
eo_record: eo_record{i:l}(),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eo_record: eo_record{i:l}(),
record+: record+,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
guard: {T},
prop: ℙ,
eo_axioms: eo_axioms(r),
and: P ∧ Q,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
infix_ap: x f y,
so_apply: x[s],
all: ∀x:A. B[x],
uimplies: b supposing a,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}[r:eo\_record\{i:l\}()]. (eo\_axioms(r) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-AM-09_13_33
Last ObjectModification:
2015_12_28-PM-09_58_43
Theory : new!event-ordering
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