Theorems · Definition · functional analysis

ContinuousLinearMap.copy

{R₁ : Type u_1} →
  {R₂ : Type u_2} →
    [inst : Semiring R₁] →
      [inst_1 : Semiring R₂] →
        {σ₁₂ : R₁ →+* R₂} →
          {M₁ : Type u_4} →
            [inst_2 : TopologicalSpace M₁] →
              [inst_3 : AddCommMonoid M₁] →
                {M₂ : Type u_6} →
                  [inst_4 : TopologicalSpace M₂] →
                    [inst_5 : AddCommMonoid M₂] →
                      [inst_6 : Module R₁ M₁] →
                        [inst_7 : Module R₂ M₂] → (f : M₁ →SL[σ₁₂] M₂) → (f' : M₁ → M₂) → f' = ⇑f → M₁ →SL[σ₁₂] M₂

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

Defined in

Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Basic

Cited by

2 results in Mathlib

Foundations

Depth 25 from the axioms · uses no axioms

Assumes

SemiringSemiringTopologicalSpaceAddCommMonoidTopologicalSpaceAddCommMonoidModuleModule