Theorems · Theorem · field theory
Real.sInf_neg
∀ (s : Set ℝ), sInf (-s) = -sSup s
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- neg_negproof · cited by 960
- SupSet.sSupstatement and proof · cited by 954
- InfSet.sInfstatement · cited by 935
- Set.negstatement · cited by 168
- neg_eq_iff_eq_negproof · cited by 60
- Real.sSup_negproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ArchimedeanClass.stdPart_eq_sSupproof · cited by 2