Theorems · Theorem · real analysis
ENNReal.mul_pos_iff
∀ {a b : ENNReal}, 0 < a * b ↔ 0 < a ∧ 0 < b- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 4 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.
Cites2
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
- CanonicallyOrderedAdd.mul_posproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- ENNReal.mul_posproof · cited by 7
- MeasureTheory.Content.innerContent_pos_of_is_add_left_invariantproof · cited by 1
- MeasureTheory.Content.innerContent_pos_of_is_mul_left_invariantproof · cited by 1
- MeasureTheory.Measure.haveLebesgueDecomposition_of_finiteMeasureproof · cited by 0