Theorems · Theorem · real analysis
ENNReal.iSup_mul
∀ {ι : Sort u_1} (f : ι → ENNReal) (a : ENNReal), (⨆ i, f i) * a = ⨆ i, f i * a- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- ENNRealstatement and proof · cited by 9,879
- iSupstatement and proof · cited by 2,415
- mul_commproof · cited by 2,262
- ENNReal.mul_iSupproof · cited by 13
Cited by5
Results whose statement or proof uses this declaration.
- ENNReal.sSup_mulproof · cited by 1
- ENNReal.iSup_divproof · cited by 1
- spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_divproof · cited by 1
- ProbabilityTheory.Kernel.IsProper.lintegral_mulproof · cited by 0