Theorems · Theorem · real analysis
ENNReal.eq_div_iff
∀ {a b c : ENNReal}, a ≠ 0 → a ≠ ⊤ → (b = c / a ↔ a * b = c)- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 4 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
- mul_div_assocproof · cited by 149
- ENNReal.mul_div_cancelproof · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- setOfPred_riemannianEDist_lt_subset_nhdsproof · cited by 2
- Similar.symmproof · cited by 2
- ENNReal.div_eq_one_iffproof · cited by 1
- ENNReal.div_eq_div_iffproof · cited by 1