Theorems · Theorem · real analysis
ENNReal.mul_inv_cancel
∀ {a : ENNReal}, a ≠ 0 → a ≠ ⊤ → a * a⁻¹ = 1- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- ENNReal.ofNNRealproof · cited by 1,279
- mul_inv_cancel₀proof · cited by 210
Cited by37
Results whose statement or proof uses this declaration.
- ENNReal.inv_mul_cancelproof · cited by 33
- ENNReal.div_selfproof · cited by 19
- MeasureTheory.lintegral_const_mul'proof · cited by 15
- MeasureTheory.TendstoInMeasure.exists_seq_tendsto_aeproof · cited by 5
- MeasureTheory.meas_ge_le_mul_pow_eLpNorm_enormproof · cited by 4
- MeasureTheory.MemLp.norm_rpowproof · cited by 3
- ENNReal.eq_inv_of_mul_eq_one_leftproof · cited by 3
- MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smulproof · cited by 3
- Ergodic.of_mem_extremePoints_measure_univ_eqproof · cited by 2
- ENNReal.inv_mul_le_iffproof · cited by 2
- MeasureTheory.condLExp_bot'proof · cited by 2
- ENNReal.isUnit_iffproof · cited by 2