Theorems · Theorem · functional analysis
LinearMap.coe_toSeminorm
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E] {f : E →ₗ[𝕜] 𝕜},
⇑f.toSeminorm = fun x => ‖f x‖- Defined in
- Mathlib.Analysis.LocallyConvex.WeakDual
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- 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
- Norm.normstatement · cited by 5,413
- NormedFieldstatement and proof · cited by 1,084
- Seminormstatement · cited by 272
- LinearMap.toSeminormstatement · cited by 6
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