Theorems · Theorem · Lie groups
Homeomorph.vaddConst_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) (v : V), (Homeomorph.vaddConst p) v = v +ᵥ p- Defined in
- Mathlib.Topology.Algebra.Group.Torsor
- Cited by
- 2 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.
Cites8
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
- HVAdd.hVAddstatement · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- Homeomorphstatement · cited by 725
- IsTopologicalAddTorsorstatement and proof · cited by 80
- Homeomorph.vaddConststatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- AffineMap.isOpenMap_linear_iffproof · cited by 2
- AffineMap.continuous_linear_iffproof · cited by 2