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Theorems · Definition · functional analysis

RCLike.normSq

{K : Type u_1} → [inst : RCLike K] → K →*₀ ℝ

The norm squared function.

Defined in
Mathlib.Analysis.RCLike.Basic
Cited by
26 results in Mathlib
Foundations
Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

RCLike.norm_conj · cited by 15RCLike.norm_conjRCLike.normSq_eq_def' · cited by 5RCLike.normSq_eq_def'RCLike.inv_im · cited by 3RCLike.inv_imRCLike.inv_re · cited by 3RCLike.inv_reRCLike.mul_self_norm · cited by 3RCLike.mul_self_normRCLike.normSq_add · cited by 1RCLike.normSq_addRCLike.normSq_apply · cited by 1RCLike.normSq_applyRCLike.normSq_conj · cited by 1RCLike.normSq_conjRCLike.normSq_neg · cited by 1RCLike.normSq_negRCLike.sqrt_normSq_eq_norm · cited by 1RCLike.sqrt_normSq_eq_normRCLike.im_sq_le_normSq · cited by 1RCLike.im_sq_le_normSqRCLike.re_sq_le_normSq · cited by 1RCLike.re_sq_le_normSqRCLike.div_im · cited by 0RCLike.div_imRCLike.div_re · cited by 0RCLike.div_reRCLike.normSq_div · cited by 0RCLike.normSq_divDFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealRCLike · cited by 2829RCLikeMonoidWithZeroHom · cited by 704MonoidWithZeroHomRCLike.re · cited by 319RCLike.reRCLike.im · cited by 161RCLike.imRCLike.normSqCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by26

Results whose statement or proof uses this declaration.