Nuprl Lemma : sq_stable__eo_axioms
∀[r:eo_record{i:l}()]. SqStable(eo_axioms(r))
Proof
Definitions occuring in Statement :
eo_axioms: eo_axioms(r),
eo_record: eo_record{i:l}(),
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[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,
guard: {T},
prop: ℙ,
eo_axioms: eo_axioms(r),
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
infix_ap: x f y,
nat: ℕ,
so_apply: x[s],
and: P ∧ Q,
all: ∀x:A. B[x],
uimplies: b supposing a,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
sq_stable: SqStable(P),
squash: ↓T,
not: ¬A,
false: False
Latex:
\mforall{}[r:eo\_record\{i:l\}()]. SqStable(eo\_axioms(r))
Date html generated:
2016_05_16-AM-09_13_36
Last ObjectModification:
2016_01_17-PM-01_32_08
Theory : new!event-ordering
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