Theorems · Theorem · general topology

ContinuousAffineEquiv.affineSubspaceMap_apply_symm_apply

∀ {R : Type u_1} {V : Type u_2} {P : Type u_3} {W : Type u_4} {Q : Type u_5} [inst : Ring R] [inst_1 : AddCommGroup V]
  [inst_2 : Module R V] [inst_3 : TopologicalSpace P] [inst_4 : AddTorsor V P] [inst_5 : AddCommGroup W]
  [inst_6 : Module R W] [inst_7 : TopologicalSpace Q] [inst_8 : AddTorsor W Q] (e : P ≃ᴬ[R] Q) (s : AffineSubspace R P)
  [inst_9 : Nonempty ↥s] (x : ↥(AffineSubspace.map (↑↑e) s)), e ↑((e.affineSubspaceMap s).symm x) = ↑x

Defined in

Mathlib.Topology.Algebra.AffineSubspace

Cited by

0 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceAddTorsorAddCommGroupModuleTopologicalSpaceAddTorsorNonempty