Theorems · Definition · general topology

AffineSubspace.ofEq

{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 t : AffineSubspace R P} → [inst_5 : Nonempty ↥s] → [inst_6 : Nonempty ↥t] → s = t → ↥s ≃ᴬ[R] ↥t

AffineEquiv.ofEq as a continuous affine equivalence.

Defined in

Mathlib.Topology.Algebra.AffineSubspace

Cited by

7 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceAddTorsorNonemptyNonempty