Theorems · Theorem · functional analysis
RCLike.re_sq_le_normSq
∀ {K : Type u_1} [inst : RCLike K] (z : K), RCLike.re z * RCLike.re z ≤ RCLike.normSq z- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- MonoidWithZeroHomstatement · cited by 704
- AddMonoid.toZerostatement · cited by 325
- RCLike.restatement · cited by 319
- RCLike.improof · cited by 161
- le_add_of_nonneg_rightproof · cited by 69
- mul_self_nonnegproof · cited by 35
- RCLike.normSqstatement · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- RCLike.abs_re_le_normproof · cited by 6