Theorems · Theorem · functional analysis
ContinuousAlgEquiv.symm_symm
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A]
[inst_2 : TopologicalSpace A] [inst_3 : Semiring B] [inst_4 : TopologicalSpace B] [inst_5 : Algebra R A]
[inst_6 : Algebra R B] (e : A ≃A[R] B), e.symm.symm = e- Defined in
- Mathlib.Topology.Algebra.Algebra.Equiv
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- ContinuousAlgEquivstatement and proof · cited by 105
- ContinuousAlgEquiv.symmstatement · cited by 31
Cited by3
Results whose statement or proof uses this declaration.
- PadicInt.coe_adicCompletionIntegersEquiv_symm_applyproof · cited by 0
- ContinuousAlgEquiv.image_symm_eq_preimageproof · cited by 0
- ContinuousAlgEquiv.symm_bijectiveproof · cited by 0