Theorems · Theorem · Lie groups
Continuous.vsub
∀ {V : Type u_1} {P : Type u_2} {α : Type u_3} [inst : AddGroup V] [inst_1 : TopologicalSpace V]
[inst_2 : AddTorsor V P] [inst_3 : TopologicalSpace P] [IsTopologicalAddTorsor P] [inst_5 : TopologicalSpace α]
{f g : α → P}, Continuous f → Continuous g → Continuous fun x => f x -ᵥ g x- Defined in
- Mathlib.Topology.Algebra.Group.Torsor
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 74 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.
- TopologicalSpacestatement and proof · cited by 24,529
- AddGroupstatement and proof · cited by 4,410
- Continuousstatement and proof · cited by 2,592
- AddTorsorstatement and proof · cited by 1,657
- VSub.vsubstatement · cited by 817
- IsTopologicalAddTorsorstatement and proof · cited by 80
- Continuous.comp₂proof · cited by 16
- IsTopologicalAddTorsor.continuous_vsubproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- AffineMap.lineMap_continuous_uncurryproof · cited by 5
- AffineMap.homothety_continuousproof · cited by 2
- isOpen_setOfPred_affineIndependentproof · cited by 1