Theorems · Theorem · real analysis
ENNReal.inv_mul_cancel
∀ {a : ENNReal}, a ≠ 0 → a ≠ ⊤ → a⁻¹ * a = 1- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 131 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_commproof · cited by 2,262
- ENNReal.mul_inv_cancelproof · cited by 37
Cited by33
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.addHaarMeasure_selfproof · cited by 6
- MeasureTheory.integrable_smul_measureproof · cited by 5
- MeasureTheory.Measure.haarMeasure_selfproof · cited by 4
- MeasureTheory.memLp_norm_rpow_iffproof · cited by 4
- ENNReal.inv_rpowproof · cited by 3
- ENNReal.rpow_add_le_mul_rpow_add_rpowproof · cited by 3
- ProbabilityTheory.cond_isProbabilityMeasure_of_finiteproof · cited by 3
- MeasureTheory.MemLp.norm_rpow_divproof · cited by 2
- ENNReal.inv_mul_cancel_right'proof · cited by 2
- ProbabilityTheory.uniformOn_selfproof · cited by 2
- ENNReal.isUnit_iffproof · cited by 2