Theorems · Theorem · functional analysis
isNonneg_inner
∀ {E : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E], (innerₗ E).IsNonneg- Defined in
- Mathlib.Analysis.InnerProductSpace.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- inner_self_eq_norm_sq_to_Kproof · cited by 72
- innerₗstatement · cited by 23
- LinearMap.IsNonnegstatement · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- isPosSemidef_innerproof · cited by 1