Theorems · Theorem · functional analysis
Real.norm_ofNat
∀ (n : ℕ) [inst : n.AtLeastTwo], ‖OfNat.ofNat n‖ = OfNat.ofNat n
- Defined in
- Mathlib.Analysis.Normed.Group.Real
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
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.
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- Nat.AtLeastTwostatement and proof · cited by 405
- Real.norm_natCastproof · cited by 6
Cited by23
Results whose statement or proof uses this declaration.
- EuclideanGeometry.Sphere.IsDiameter.dist_left_rightproof · cited by 3
- PeriodPair.summable_weierstrassPExceptSummandproof · cited by 3
- EuclideanGeometry.Sphere.isDiameter_ofDiameterproof · cited by 3
- realPart.norm_leproof · cited by 2
- Metric.diam_sphere_eqproof · cited by 2
- ZLattice.exists_forall_abs_repr_le_normproof · cited by 2
- summableLocallyUniformlyOn_iteratedDerivWithin_smul_cexpproof · cited by 2
- dist_midpoint_midpoint_leproof · cited by 2
- IsUpperSet.exists_subset_ballproof · cited by 2
- EuclideanGeometry.Sphere.dist_div_cos_oangle_center_div_two_eq_radiusproof · cited by 2
- IsLowerSet.exists_subset_ballproof · cited by 2
- MeasureTheory.measureReal_abs_gt_le_integral_charFunproof · cited by 2