Theorems · Theorem · real analysis
Real.toNNReal_inv
∀ {x : ℝ}, x⁻¹.toNNReal = x.toNNReal⁻¹- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 117 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.
- Realstatement and proof · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- le_totalproof · cited by 294
- Real.toNNRealstatement and proof · cited by 267
- inv_zeroproof · cited by 184
- Real.toNNReal_coeproof · cited by 36
- Real.coe_toNNRealproof · cited by 27
- NNReal.coe_invproof · cited by 11
- inv_nonposproof · cited by 9
- Real.toNNReal_eq_zeroproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Real.sqrt_invproof · cited by 13
- ENNReal.ofReal_inv_of_posproof · cited by 11
- MeasureTheory.mul_le_addHaar_image_of_lt_detproof · cited by 1
- Real.toNNReal_divproof · cited by 0
- Real.toNNReal_div'proof · cited by 0