Theorems · Theorem · functional analysis
RCLike.mul_self_norm
∀ {K : Type u_1} [inst : RCLike K] (z : K), ‖z‖ * ‖z‖ = RCLike.normSq z- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 164 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- RCLikestatement and proof · cited by 2,829
- MonoidWithZeroHomstatement · cited by 704
- sqproof · cited by 280
- RCLike.normSqstatement · cited by 26
- RCLike.normSq_eq_def'proof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- RCLike.abs_re_le_normproof · cited by 6
- RCLike.abs_im_le_normproof · cited by 4
- RCLike.im_eq_zero_of_leproof · cited by 1