Theorems · Theorem · field theory
Real.isLUB_sSup
∀ {s : Set ℝ}, s.Nonempty → BddAbove s → IsLUB s (sSup s)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 and proof · cited by 2,627
- SupSet.sSupstatement · cited by 954
- BddAbovestatement and proof · cited by 620
- IsLUBstatement and proof · cited by 280
- Real.exists_isLUBproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Real.isGLB_sInfproof · cited by 0