Theorems · Theorem · functional analysis
PolynormableSpace.sInf
∀ {𝕜 : Type u_2} {E : Type u_6} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
{ts : Set (TopologicalSpace E)}, (∀ t ∈ ts, PolynormableSpace 𝕜 E) → PolynormableSpace 𝕜 E- Cited by
- 1 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Set.Elemproof · cited by 7,166
- NormedFieldstatement and proof · cited by 1,084
- InfSet.sInfstatement · cited by 935
- sInf_eq_iInf'proof · cited by 17
- PolynormableSpacestatement and proof · cited by 15
- PolynormableSpace.iInfproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- PolynormableSpace.infproof · cited by 0