Theorems · Theorem · functional analysis

ContinuousLinearEquiv.restrictScalars_symm_apply

∀ (R : Type u_1) {S : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : AddCommMonoid M]
  [inst_3 : Module R M] [inst_4 : Module S M] [inst_5 : TopologicalSpace M] [inst_6 : LinearMap.CompatibleSMul M M R S]
  (f : M ≃L[S] M) (a : M), (ContinuousLinearEquiv.restrictScalars R f).symm a = f.symm a

Defined in

Mathlib.Topology.Algebra.Module.Equiv

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Quot.sound

Assumes

SemiringSemiringAddCommMonoidModuleModuleTopologicalSpaceLinearMap.CompatibleSMul