Theorems · Definition · functional analysis

ContinuousAlgEquiv.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] → (A ≃A[R] B) → B ≃A[R] A

The inverse of a continuous algebra equivalence.

Defined in

Mathlib.Topology.Algebra.Algebra.Equiv

Cited by

31 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringTopologicalSpaceSemiringTopologicalSpaceAlgebraAlgebra