Theorems · Theorem · real analysis
ENNReal.div_eq_one_iff
∀ {a b : ENNReal}, b ≠ 0 → b ≠ ⊤ → (a / b = 1 ↔ a = b)- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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_oneproof · cited by 3,885
- ENNReal.div_selfproof · cited by 19
- ENNReal.eq_div_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AddCircle.ae_empty_or_univ_of_forall_vadd_ae_eq_selfproof · cited by 2