Theorems · Definition · category theory
TopModuleCat.ofIso
{R : Type u} →
[inst : Ring R] →
[inst_1 : TopologicalSpace R] → {X Y : TopModuleCat R} → (↑X.toModuleCat ≃L[R] ↑Y.toModuleCat) → (X ≅ Y)Construct an iso in TopModuleCat from a continuous linear equiv.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingTopologicalSpace
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
- RingHom.idstatement and proof · cited by 18,349
- Ringstatement and proof · cited by 7,463
- CategoryTheory.Isostatement · cited by 3,963
- ModuleCat.carrierstatement and proof · cited by 997
- ContinuousLinearEquivstatement and proof · cited by 743
- ContinuousLinearEquiv.toContinuousLinearMapproof · cited by 448
- ContinuousLinearEquiv.symmproof · cited by 368
- TopModuleCatstatement and proof · cited by 45
- TopModuleCat.toModuleCatstatement and proof · cited by 29
- TopModuleCat.ofHomproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousCohomology.zeroIsoproof · cited by 0