Theorems · Theorem · real analysis
NNReal.le_iInf_mul
∀ {ι : Sort u_3} [Nonempty ι] {a : NNReal} {g : ι → NNReal} {h : NNReal}, (∀ (i : ι), a ≤ g i * h) → a ≤ iInf g * h- Defined in
- Mathlib.Data.NNReal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement and proof · cited by 4,310
- iInfstatement · cited by 1,690
- le_ciInfproof · cited by 32
- NNReal.iInf_mulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- NNReal.le_iInf_mul_iInfproof · cited by 0