Theorems · Theorem · geometry

ContinuousLinearEquiv.toContinuousAffineEquiv_toContinuousAffineMap

∀ {k : Type u_1} [inst : Ring k] {E : Type u_10} {F : Type u_11} [inst_1 : AddCommGroup E] [inst_2 : Module k E]
  [inst_3 : TopologicalSpace E] [inst_4 : AddCommGroup F] [inst_5 : Module k F] [inst_6 : TopologicalSpace F]
  (L : E ≃L[k] F), L.toContinuousAffineEquiv.toContinuousAffineMap = (↑L).toContinuousAffineMap

Defined in

Mathlib.Topology.Algebra.ContinuousAffineEquiv

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceAddCommGroupModuleTopologicalSpace