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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