Theorems · Theorem · real analysis
ENNReal.mul_inv
∀ {a b : ENNReal}, a ≠ 0 ∨ b ≠ ⊤ → a ≠ ⊤ ∨ b ≠ 0 → (a * b)⁻¹ = a⁻¹ * b⁻¹- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- NNRealproof · cited by 4,310
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.recTopCoeproof · cited by 48
- ENNReal.inv_topproof · cited by 36
- ENNReal.top_mulproof · cited by 29
- ENNReal.mul_topproof · cited by 26
Cited by12
Results whose statement or proof uses this declaration.
- ENNReal.prod_inv_distribproof · cited by 3
- Asymptotics.isBigOTVS_iff_isBigOproof · cited by 3
- MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smulproof · cited by 3
- ENNReal.le_mul_of_forall_ltproof · cited by 2
- ENNReal.inv_divproof · cited by 2
- MeasureTheory.Measure.rnDeriv_div_rnDeriv_eq_div_rnDeriv_addproof · cited by 1
- ENNReal.HolderConjugate.conjExponentproof · cited by 1
- ProbabilityTheory.cond_cond_eq_cond_inter'proof · cited by 1
- ENNReal.mul_div_mul_commproof · cited by 0
- ENNReal.mul_div_mul_leftproof · cited by 0
- ENNReal.mul_div_mul_rightproof · cited by 0
- ENNReal.div_mulproof · cited by 0