Theorems · Theorem · real analysis
NNReal.sInf_empty
sInf ∅ = 0
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Realproof · cited by 25,697
- NNRealstatement · cited by 4,310
- NNReal.toRealproof · cited by 1,260
- InfSet.sInfstatement and proof · cited by 935
- Set.image_emptyproof · cited by 73
- Real.sInf_emptyproof · cited by 21
- NNReal.coe_eq_zeroproof · cited by 11
- NNReal.coe_sInfproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- NNReal.iInf_emptyproof · cited by 2
- NNReal.limsSup_of_not_isBoundedproof · cited by 1