Theorems · Theorem · real analysis
ENNReal.mul_sub
∀ {a b c : ENNReal}, (0 < c → c < b → a ≠ ⊤) → a * (b - c) = a * b - a * c- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 129 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
- Top.topstatement and proof · cited by 9,680
- mul_commproof · cited by 2,262
- ENNReal.sub_mulproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.IndepSets.indepproof · cited by 9
- ProbabilityTheory.Kernel.IndepSets.indep_auxproof · cited by 1
- ENNReal.HolderConjugate.conjExponentproof · cited by 1