Theorems · Theorem · functional analysis
real_inner_self_nonneg
∀ {F : Type u_3} [inst : SeminormedAddCommGroup F] [inst_1 : InnerProductSpace ℝ F] {x : F}, 0 ≤ inner ℝ x x- Defined in
- Mathlib.Analysis.InnerProductSpace.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- InnerProductSpacestatement and proof · cited by 3,523
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Inner.innerstatement · cited by 1,089
- inner_self_nonnegproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.covarianceBilinDual_self_nonnegproof · cited by 1