Theorems · Theorem · real analysis
ENNReal.div_ne_zero
∀ {a b : ENNReal}, a / b ≠ 0 ↔ a ≠ 0 ∧ b ≠ ⊤- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 1 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
- Top.topstatement and proof · cited by 9,680
- pos_iff_ne_zeroproof · cited by 180
- ENNReal.div_pos_iffproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- bergelson'proof · cited by 1