Nuprl Lemma : rset-neg_wf
∀[A:Set(ℝ)]. (-(A) ∈ Set(ℝ))
Proof
Definitions occuring in Statement : 
rset-neg: -(A)
, 
rset: Set(ℝ)
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
Definitions unfolded in proof : 
rset-neg: -(A)
, 
rset: Set(ℝ)
, 
rset-member: x ∈ A
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
subtype_rel: A ⊆r B
, 
prop: ℙ
, 
uimplies: b supposing a
, 
uiff: uiff(P;Q)
, 
and: P ∧ Q
, 
rev_uimplies: rev_uimplies(P;Q)
Latex:
\mforall{}[A:Set(\mBbbR{})].  (-(A)  \mmember{}  Set(\mBbbR{}))
Date html generated:
2020_05_20-AM-11_30_15
Last ObjectModification:
2020_01_06-PM-00_18_44
Theory : reals
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