Theorems · Definition · Lie groups

Homeomorph.pointReflection

{V : Type u_4} →
  {P : Type u_5} →
    [inst : AddGroup V] →
      [inst_1 : TopologicalSpace V] →
        [inst_2 : AddTorsor V P] → [inst_3 : TopologicalSpace P] → [IsTopologicalAddTorsor P] → P → P ≃ₜ P

Equiv.pointReflection as a homeomorphism

Defined in: Mathlib.Topology.Algebra.Group.Torsor
Cited by: 3 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup TopologicalSpace AddTorsor TopologicalSpace IsTopologicalAddTorsor

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Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

TopologicalSpacestatement and proof · cited by 24,529
AddGroupstatement and proof · cited by 4,410
AddTorsorstatement and proof · cited by 1,657
Homeomorphstatement · cited by 725
IsTopologicalAddTorsorstatement and proof · cited by 80
Homeomorph.transproof · cited by 49
Homeomorph.vaddConstproof · cited by 8
Homeomorph.constVSubproof · cited by 4

Cited by3

Results whose statement or proof uses this declaration.

isImmersionOfComplement_subtypeVal_Iccproof · cited by 3
Homeomorph.coe_pointReflectionstatement · cited by 0
Homeomorph.pointReflection.congr_simpstatement and proof · cited by 0