Nuprl Lemma : unit-ss_wf
𝕀 ∈ SeparationSpace
Proof
Definitions occuring in Statement :
unit-ss: 𝕀,
separation-space: SeparationSpace,
member: t ∈ T
Definitions unfolded in proof :
so_apply: x[s],
real: ℝ,
btrue: tt,
bfalse: ff,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
record-update: r[x := v],
mk-ss: Point=P #=Sep symm=Sym cotrans=C,
real-ss: ℝ,
record-select: r.x,
ss-point: Point(ss),
subtype_rel: A ⊆r B,
and: P ∧ Q,
prop: ℙ,
so_lambda: λ2x.t[x],
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
all: ∀x:A. B[x],
unit-ss: 𝕀
Lemmas referenced :
ss-point_wf,
real_wf,
subtype_rel_self,
int-to-real_wf,
rleq_wf,
real-ss_wf,
set-ss_wf,
member_rccint_lemma
Rules used in proof :
because_Cache,
applyEquality,
hypothesisEquality,
natural_numberEquality,
productEquality,
lambdaEquality,
isectElimination,
hypothesis,
voidEquality,
voidElimination,
isect_memberEquality,
thin,
dependent_functionElimination,
sqequalHypSubstitution,
extract_by_obid,
introduction,
cut,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
\mBbbI{} \mmember{} SeparationSpace
Date html generated:
2018_07_29-AM-10_11_26
Last ObjectModification:
2018_06_28-PM-05_34_40
Theory : constructive!algebra
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