Theorems · Theorem · Lie groups
Homeomorph.vaddConst_symm_apply
∀ {V : Type u_1} {P : Type u_2} [inst : AddGroup V] [inst_1 : TopologicalSpace V] [inst_2 : AddTorsor V P]
[inst_3 : TopologicalSpace P] [inst_4 : IsTopologicalAddTorsor P] (p p' : P),
(Homeomorph.vaddConst p).symm p' = p' -ᵥ p- Defined in
- Mathlib.Topology.Algebra.Group.Torsor
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- AddGroupstatement and proof · cited by 4,410
- AddTorsorstatement and proof · cited by 1,657
- VSub.vsubstatement · cited by 817
- Homeomorphstatement · cited by 725
- Homeomorph.symmstatement and proof · cited by 365
- IsTopologicalAddTorsorstatement and proof · cited by 80
- Homeomorph.vaddConststatement and proof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- AffineMap.isOpenMap_linear_iffproof · cited by 2
- AffineMap.continuous_linear_iffproof · cited by 2
- Affine.Simplex.isCompact_closedInteriorproof · cited by 1
- AffineSubspace.isClosed_direction_iffproof · cited by 1