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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