Theorems · Theorem · functional analysis
PointwiseConvergenceCLM.withSeminorms
∀ {𝕜₁ : Type u_3} {𝕜₂ : Type u_4} [inst : NormedField 𝕜₁] [inst_1 : NormedField 𝕜₂] {σ : 𝕜₁ →+* 𝕜₂} {E : Type u_7}
{F : Type u_8} [inst_2 : AddCommGroup E] [inst_3 : TopologicalSpace E] [inst_4 : Module 𝕜₁ E]
[inst_5 : NormedAddCommGroup F] [inst_6 : NormedSpace 𝕜₂ F],
WithSeminorms (PointwiseConvergenceCLM.seminormFamily σ E F)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupstatement and proof · cited by 12,871
- NormedSpacestatement and proof · cited by 12,499
- RingHomstatement and proof · cited by 10,189
- Equivproof · cited by 8,337
- Set.Elemstatement · cited by 7,166
- Set.ofPredstatement · cited by 6,101
- Equiv.symmproof · cited by 3,681
- Finitestatement · cited by 3,029
Cited by2
Results whose statement or proof uses this declaration.
- PointwiseConvergenceCLM.tendsto_nhdsproof · cited by 0
- PointwiseConvergenceCLM.tendsto_nhds_atTopproof · cited by 0