Theorems · Definition · functional analysis
ContinuousLinearMapWOT.ringEquiv
{𝕜₁ : Type u_1} →
[inst : NormedField 𝕜₁] →
{E : Type u_3} →
[inst_1 : AddCommGroup E] →
[inst_2 : TopologicalSpace E] →
[inst_3 : Module 𝕜₁ E] → [inst_4 : IsTopologicalAddGroup E] → (E →WOT[𝕜₁] E) ≃+* (E →L[𝕜₁] E)The ring equivalence between ContinuousLinearMapWOT and ContinuousLinearMap.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- ContinuousLinearMapstatement · cited by 5,352
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- RingEquivstatement · cited by 1,147
- NormedFieldstatement and proof · cited by 1,084
- ContinuousLinearMapWOTstatement · cited by 101
- ContinuousLinearMapWOT.equivproof · cited by 8
- Equiv.ringEquivproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousLinearMapWOT.ringEquiv_applystatement and proof · cited by 0
- ContinuousLinearMapWOT.ringEquiv_symm_apply_toCLMstatement and proof · cited by 0