Theorems · Theorem · real analysis
ENNReal.inv_div
∀ {a b : ENNReal}, b ≠ ⊤ ∨ a ≠ ⊤ → b ≠ 0 ∨ a ≠ 0 → (a / b)⁻¹ = b / a- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- inv_invproof · cited by 494
- ENNReal.div_eq_inv_mulproof · cited by 18
- ENNReal.mul_invproof · cited by 12
- ENNReal.inv_ne_topproof · cited by 12
- ENNReal.inv_ne_zeroproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.div_div_cancel'proof · cited by 1
- ENNReal.HolderTriple.holderConjugate_div_divproof · cited by 0