Theorems · Definition · functional analysis

ContinuousAlgHom.copy

{R : Type u_1} →
  [inst : CommSemiring R] →
    {A : Type u_2} →
      [inst_1 : Semiring A] →
        [inst_2 : TopologicalSpace A] →
          {B : Type u_3} →
            [inst_3 : Semiring B] →
              [inst_4 : TopologicalSpace B] →
                [inst_5 : Algebra R A] → [inst_6 : Algebra R B] → (f : A →A[R] B) → (f' : A → B) → f' = ⇑f → A →A[R] B

Copy of a ContinuousAlgHom with a new toFun equal to the old one. Useful to fix definitional equalities.

Defined in

Mathlib.Topology.Algebra.Algebra

Cited by

2 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringTopologicalSpaceSemiringTopologicalSpaceAlgebraAlgebra