Theorems · Theorem · functional analysis
PiTensorProduct.projectiveSeminormAux_nonneg
∀ {ι : Type u_1} [inst : Fintype ι] {𝕜 : Type u_2} {E : ι → Type u_3} [inst_1 : (i : ι) → SeminormedAddCommGroup (E i)]
[inst_2 : NormedField 𝕜] (p : FreeAddMonoid (𝕜 × ((i : ι) → E i))), 0 ≤ PiTensorProduct.projectiveSeminormAux p- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Norm.normproof · cited by 5,413
- Finset.univproof · cited by 3,473
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Finset.prodproof · cited by 2,356
- NormedFieldstatement and proof · cited by 1,084
- norm_nonnegproof · cited by 725
- Finset.prod_congrproof · cited by 646
- mul_nonnegproof · cited by 397
- FreeAddMonoidstatement and proof · cited by 145
Cited by1
Results whose statement or proof uses this declaration.
- PiTensorProduct.projectiveSeminorm_zeroproof · cited by 0