Theorems · Theorem · functional analysis
ContinuousLinearMap.isBoundedLinearMap_comp_right
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : SeminormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : SeminormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F]
{G : Type u_4} [inst_5 : SeminormedAddCommGroup G] [inst_6 : NormedSpace 𝕜 G] (f : E →L[𝕜] F),
IsBoundedLinearMap 𝕜 fun g => g ∘SL f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement and proof · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement and proof · cited by 5,352
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- ContinuousLinearMap.compstatement · cited by 709
- IsBoundedLinearMapstatement · cited by 39
- isBoundedBilinearMap_compproof · cited by 10
- IsBoundedBilinearMap.isBoundedLinearMap_leftproof · cited by 2
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