Theorems · Theorem · functional analysis
RCLike.norm_ofReal
∀ {K : Type u_1} [inst : RCLike K] (r : ℝ), ‖↑r‖ = |r|- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 159 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 and proof · cited by 25,697
- Norm.normstatement · cited by 5,413
- RCLikestatement and proof · cited by 2,829
- absstatement · cited by 1,814
- RCLike.ofRealstatement · cited by 350
- norm_algebraMap'proof · cited by 39
Cited by10
Results whose statement or proof uses this declaration.
- RCLike.ofRealLIproof · cited by 6
- innerSL_apply_normproof · cited by 5
- RCLike.norm_of_nonnegproof · cited by 4
- RCLike.tendsto_ofReal_atTop_coboundedproof · cited by 2
- hasFDerivAt_of_tendstoUniformlyOnFilterproof · cited by 2
- norm_inner_div_norm_mul_norm_eq_one_iffproof · cited by 1
- RCLike.norm_sq_re_add_conjproof · cited by 1
- gauge_norm_smulproof · cited by 1
- RCLike.tendsto_ofReal_atBot_coboundedproof · cited by 0
- RCLike.tendsto_ofReal_cobounded_coboundedproof · cited by 0