Theorems · Theorem · functional analysis
LinearMap.weakBilin_withSeminorms
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : AddCommGroup F] [inst_4 : Module 𝕜 F] (B : E →ₗ[𝕜] F →ₗ[𝕜] 𝕜), WithSeminorms B.toSeminormFamily- Defined in
- Mathlib.Analysis.LocallyConvex.WeakDual
- 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- Equivproof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- LinearMap.compproof · cited by 1,642
- NormedFieldstatement and proof · cited by 1,084
- WithSeminormsstatement · cited by 69
- norm_withSeminormsproof · cited by 12
- WeakBilinstatement · cited by 11
- Equiv.sigmaUniqueproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- WeakDual.withSeminormsproof · cited by 1
- LinearMap.hasBasis_weakBilinproof · cited by 0