Theorems · Theorem · functional analysis
ContinuousLinearEquiv.unitsEquivAut_apply
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : TopologicalSpace R] [inst_2 : ContinuousMul R] (u : Rˣ) (x : R),
((ContinuousLinearEquiv.unitsEquivAut R) u) x = x * ↑u- Defined in
- Mathlib.Topology.Algebra.Module.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- TopologicalSpacestatement and proof · cited by 24,529
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Equivstatement · cited by 8,337
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- ContinuousLinearEquivstatement · cited by 743
- ContinuousMulstatement and proof · cited by 343
- ContinuousLinearEquiv.unitsEquivAutstatement · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.