Theorems · Definition · general topology

AffineSubspace.subtypeA

{R : Type u_1} →
  {V : Type u_2} →
    {P : Type u_3} →
      [inst : Ring R] →
        [inst_1 : AddCommGroup V] →
          [inst_2 : Module R V] →
            [inst_3 : TopologicalSpace P] →
              [inst_4 : AddTorsor V P] → (s : AffineSubspace R P) → [inst_5 : Nonempty ↥s] → ↥s →ᴬ[R] P

Embedding of an affine subspace to the ambient space, as a continuous affine map.

Defined in

Mathlib.Topology.Algebra.AffineSubspace

Cited by

3 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceAddTorsorNonempty