Theorems · Theorem · convex and discrete geometry
Wbtw.map
∀ {R : Type u_1} {V : Type u_2} {V' : Type u_3} {P : Type u_4} {P' : Type u_5} [inst : Ring R] [inst_1 : PartialOrder R]
[inst_2 : AddCommGroup V] [inst_3 : Module R V] [inst_4 : AddTorsor V P] [inst_5 : AddCommGroup V']
[inst_6 : Module R V'] [inst_7 : AddTorsor V' P'] {x y z : P},
Wbtw R x y z → ∀ (f : P →ᵃ[R] P'), Wbtw R (f x) (f y) (f z)- Defined in
- Mathlib.Analysis.Convex.Between
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Setproof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- AddTorsorstatement and proof · cited by 1,657
- AffineMapstatement and proof · cited by 674
- Set.mem_image_of_memproof · cited by 371
- Wbtwstatement and proof · cited by 165
- affineSegment_imageproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Function.Injective.wbtw_map_iffproof · cited by 3
- List.Wbtw.mapproof · cited by 3
- Set.InjOn.wbtw_map_iffproof · cited by 1