Theorems · Theorem · real analysis
NNReal.iInf_mul
∀ {ι : Sort u_3} (f : ι → NNReal) (a : NNReal), iInf f * a = ⨅ i, f i * a- Defined in
- Mathlib.Data.NNReal.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 123 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.
- Realproof · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- iInfstatement and proof · cited by 1,690
- NNReal.toRealproof · cited by 1,260
- NNReal.coe_nonnegproof · cited by 130
- NNReal.coe_injproof · cited by 30
- NNReal.coe_mulproof · cited by 13
- NNReal.coe_iInfproof · cited by 4
- Real.iInf_mul_of_nonnegproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- NNReal.mul_iInfproof · cited by 3
- NNReal.le_iInf_mulproof · cited by 1