Theorems · Theorem · field theory
Real.sSup_def
∀ (s : Set ℝ), sSup s = if h : s.Nonempty ∧ BddAbove s then Classical.choose ⋯ else 0
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- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Nonemptystatement · cited by 2,627
- SupSet.sSupstatement · cited by 954
- BddAbovestatement · cited by 620
- IsLUBstatement · cited by 280
- Real.exists_isLUBstatement · cited by 3
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