Theorems · Theorem · functional analysis
RCLike.norm_natCast
∀ {K : Type u_1} [inst : RCLike K] (n : ℕ), ‖↑n‖ = ↑n- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 and proof · cited by 5,413
- RCLikestatement and proof · cited by 2,829
- Nat.cast_nonnegproof · cited by 109
- RCLike.norm_of_nonnegproof · cited by 4
- RCLike.ofReal_natCastproof · cited by 4
Cited by19
Results whose statement or proof uses this declaration.
- PeriodPair.summable_weierstrassPExceptSummandproof · cited by 3
- RCLike.norm_ofNatproof · cited by 3
- NumberField.InfinitePlace.map_natCastproof · cited by 3
- AkraBazziRecurrence.dist_r_b'proof · cited by 2
- two_mul_riemannZeta_eq_tsum_int_inv_pow_of_evenproof · cited by 2
- summableLocallyUniformlyOn_iteratedDerivWithin_smul_cexpproof · cited by 2
- dist_birkhoffAverage_birkhoffAverageproof · cited by 2
- RCLike.norm_nsmulproof · cited by 2
- Affine.Simplex.faceOppositeCentroid_mem_ninePointCircleproof · cited by 2
- RCLike.nnnorm_natCastproof · cited by 2
- ProbabilityTheory.tendsto_charFun_inv_sqrt_mul_powproof · cited by 1
- AkraBazziRecurrence.eventually_b_le_rproof · cited by 1